One Hat Cyber Team
Your IP :
216.73.216.115
Server IP :
194.44.31.54
Server :
Linux zen.imath.kiev.ua 4.18.0-553.77.1.el8_10.x86_64 #1 SMP Fri Oct 3 14:30:23 UTC 2025 x86_64
Server Software :
Apache/2.4.37 (Rocky Linux) OpenSSL/1.1.1k
PHP Version :
5.6.40
Buat File
|
Buat Folder
Eksekusi
Dir :
~
/
home
/
kay
/
disser
/
22.11.07
/
kay_v2
/
View File Name :
dissert.aux
\relax \catcode`"\active \select@language{ukrainian} \@writefile{toc}{\select@language{ukrainian}} \@writefile{lof}{\select@language{ukrainian}} \@writefile{lot}{\select@language{ukrainian}} \@writefile{toc}{\contentsline {chapter}{\IeC {\CYRS }\IeC {\cyrp }\IeC {\cyri }\IeC {\cyrs }\IeC {\cyro }\IeC {\cyrk } \IeC {\cyru }\IeC {\cyrm }\IeC {\cyro }\IeC {\cyrv }\IeC {\cyrn }\IeC {\cyri }\IeC {\cyrh } \IeC {\cyrp }\IeC {\cyro }\IeC {\cyrz }\IeC {\cyrn }\IeC {\cyra }\IeC {\cyrch }\IeC {\cyre }\IeC {\cyrn }\IeC {\cyrsftsn }}{4}} \@writefile{toc}{\contentsline {chapter}{\IeC {\CYRV }\IeC {\cyrs }\IeC {\cyrt }\IeC {\cyru }\IeC {\cyrp }}{5}} \citation{Gorb_Gr_Torba1} \citation{Gorb_Gr_Torba} \citation{Torba2007} \citation{GrushkaTorba2007a} \citation{GrushkaTorba2007} \citation{Bernstein1937} \citation{Bernstein1952} \citation{Bernstein1952} \@writefile{toc}{\contentsline {chapter}{\normalfont \MakeUppercase {{\Ukrainian \CYRR \cyro \cyrz \cyrd \cyrii \cyrl }} 1. \IeC {\CYRO }\IeC {\cyrg }\IeC {\cyrl }\IeC {\cyrya }\IeC {\cyrd } \IeC {\cyrl }\IeC {\cyrii }\IeC {\cyrt }\IeC {\cyre }\IeC {\cyrr }\IeC {\cyra }\IeC {\cyrt }\IeC {\cyru }\IeC {\cyrr }\IeC {\cyri } \IeC {\cyrz }\IeC {\cyra } \IeC {\cyrt }\IeC {\cyre }\IeC {\cyrm }\IeC {\cyro }\IeC {\cyryu } \IeC {\cyrii } \IeC {\cyrv }\IeC {\cyri }\IeC {\cyrb }\IeC {\cyrii }\IeC {\cyrr } \IeC {\cyrn }\IeC {\cyra }\IeC {\cyrp }\IeC {\cyrr }\IeC {\cyrya }\IeC {\cyrm }\IeC {\cyrii }\IeC {\cyrv } \IeC {\cyrd }\IeC {\cyro }\IeC {\cyrs }\IeC {\cyrl }\IeC {\cyrii }\IeC {\cyrd }\IeC {\cyrzh }\IeC {\cyre }\IeC {\cyrn }\IeC {\cyrn }\IeC {\cyrya }}{10}} \@writefile{lof}{\addvspace {10\p@ }} \@writefile{lot}{\addvspace {10\p@ }} \newlabel{Intro1}{{1.1}{10}} \newlabel{Intro2}{{1.2}{10}} \newlabel{Intro3}{{1.3}{10}} \citation{Bernstein1952} \citation{Timan1960} \newlabel{Intro4}{{1.4}{11}} \newlabel{Intro5}{{1.5}{11}} \newlabel{Intro6}{{1.6}{11}} \newlabel{Intro7}{{1.7}{11}} \citation{Levin1996} \citation{DeVoreLor1993} \citation{ButzerBerens1967} \citation{Lubich1960} \citation{Kyptsov} \citation{Terjoxin} \citation{DeVoreLor1993} \citation{Levin1996} \citation{MGorbShilinst_ExpA} \citation{MGorb_AnSolutions} \citation{Rad1983} \citation{BerLop2002} \citation{LubMatsaev} \citation{MGorbShilinst_ExpA} \newlabel{Intro7a}{{1.8}{13}} \citation{MGorb_AnSolutions} \citation{MGorb_BDVectors} \citation{MGorbShilinst_ExpA} \citation{MGorb_OperAppr} \citation{Serdyuk2005} \citation{Stepanets2002_1} \citation{Stepanets2002_2} \citation{Radzievsky1997} \citation{Radzievsky1998} \citation{Radz2001} \citation{Radzievsky2003} \citation{Chernux1967} \citation{Chernux} \citation{Vasil'ev2001} \citation{Serdyuk2005} \citation{Kryakin2005} \citation{FKS2006} \citation{Vinogradov2005} \citation{Dostanic1996} \citation{Huang1997} \citation{Mixlin} \newlabel{Intro8}{{1.9}{15}} \citation{Mixlin} \citation{Lychka} \citation{Djushkariani} \citation{MGorb_OperAppr} \citation{GG1984} \newlabel{Intro9}{{1.10}{17}} \newlabel{Intro10}{{1.11}{17}} \citation{KM1998} \citation{MV1999} \citation{Kash2002} \newlabel{Intro11}{{1.12}{18}} \citation{AG1993} \citation{Axizer-Glazman} \citation{AGM1994} \citation{GM1994} \newlabel{Intro16}{{1.13}{19}} \citation{MVR2002} \citation{GM2005} \citation{GM2004} \citation{Ryab2006} \newlabel{Intro17}{{1.14}{20}} \citation{KH1983} \citation{Rad1983} \@writefile{toc}{\contentsline {chapter}{\normalfont \MakeUppercase {{\Ukrainian \CYRR \cyro \cyrz \cyrd \cyrii \cyrl }} 2. \IeC {\CYRP }\IeC {\cyrr }\IeC {\cyrya }\IeC {\cyrm }\IeC {\cyrii } \IeC {\cyrii } \IeC {\cyro }\IeC {\cyrb }\IeC {\cyre }\IeC {\cyrr }\IeC {\cyrn }\IeC {\cyre }\IeC {\cyrn }\IeC {\cyrii } \IeC {\cyrt }\IeC {\cyre }\IeC {\cyro }\IeC {\cyrr }\IeC {\cyre }\IeC {\cyrm }\IeC {\cyri } \IeC {\cyrv } \IeC {\cyrt }\IeC {\cyre }\IeC {\cyro }\IeC {\cyrr }\IeC {\cyrii }\IeC {\cyryi } \IeC {\cyrn }\IeC {\cyra }\IeC {\cyrb }\IeC {\cyrl }\IeC {\cyri }\IeC {\cyrzh }\IeC {\cyre }\IeC {\cyrn }\IeC {\cyrsftsn } \IeC {\cyrv } \IeC {\cyrg }\IeC {\cyrii }\IeC {\cyrl }\IeC {\cyrsftsn }\IeC {\cyrb }\IeC {\cyre }\IeC {\cyrr }\IeC {\cyrt }\IeC {\cyro }\IeC {\cyrv }\IeC {\cyro }\IeC {\cyrm }\IeC {\cyru } \IeC {\cyrp }\IeC {\cyrr }\IeC {\cyro }\IeC {\cyrs }\IeC {\cyrt }\IeC {\cyro }\IeC {\cyrr }\IeC {\cyrii }}{21}} \@writefile{lof}{\addvspace {10\p@ }} \@writefile{lot}{\addvspace {10\p@ }} \newlabel{chapter2}{{2}{21}} \@writefile{toc}{\contentsline {section}{\numberline {2.1.}\IeC {\CYRO }\IeC {\cyrs }\IeC {\cyrn }\IeC {\cyro }\IeC {\cyrv }\IeC {\cyrn }\IeC {\cyrii } \IeC {\cyrp }\IeC {\cyro }\IeC {\cyrn }\IeC {\cyrya }\IeC {\cyrt }\IeC {\cyrt }\IeC {\cyrya } \IeC {\cyrt }\IeC {\cyra } \IeC {\cyro }\IeC {\cyrz }\IeC {\cyrn }\IeC {\cyra }\IeC {\cyrch }\IeC {\cyre }\IeC {\cyrn }\IeC {\cyrn }\IeC {\cyrya }}{21}} \citation{MGorb_AnSolutions} \citation{Kyptsov} \citation{Axizer-Glazman} \citation{MGorb_BDVectors} \citation{MGorb_OperAppr} \newlabel{hilb_w_{d}ef}{{2.1}{22}} \newlabel{hilb_Delta_def}{{2.2}{22}} \citation{GK1989} \newlabel{HilbExm1}{{2.1}{23}} \@writefile{toc}{\contentsline {section}{\numberline {2.2.}\IeC {\CYRK }\IeC {\cyrl }\IeC {\cyra }\IeC {\cyrs }\IeC {\cyri } \IeC {\cyrn }\IeC {\cyre }\IeC {\cyrs }\IeC {\cyrk }\IeC {\cyrii }\IeC {\cyrn }\IeC {\cyrch }\IeC {\cyre }\IeC {\cyrn }\IeC {\cyrn }\IeC {\cyro } \IeC {\cyrd }\IeC {\cyri }\IeC {\cyrf }\IeC {\cyre }\IeC {\cyrr }\IeC {\cyre }\IeC {\cyrn }\IeC {\cyrc }\IeC {\cyrii }\IeC {\cyrishrt }\IeC {\cyro }\IeC {\cyrv }\IeC {\cyrn }\IeC {\cyri }\IeC {\cyrh } \IeC {\cyrv }\IeC {\cyre }\IeC {\cyrk }\IeC {\cyrt }\IeC {\cyro }\IeC {\cyrr }\IeC {\cyrii }\IeC {\cyrv }}{23}} \newlabel{hilb_infty_section}{{2.2.}{23}} \citation{GK1989} \newlabel{hilbert_28}{{2.4}{24}} \newlabel{hilbert_29}{{2.5}{24}} \newlabel{hilbert_29a}{{2.6}{24}} \newlabel{hilbert_30}{{2.7}{25}} \newlabel{hilbert_31}{{2.8}{25}} \newlabel{hilbert_32}{{2.9}{25}} \newlabel{hilbert_33}{{2.10}{25}} \newlabel{hilbert_34}{{2.11}{25}} \newlabel{hilbert_35}{{2.12}{25}} \newlabel{hilbert_36}{{2.13}{25}} \newlabel{hilbert_37}{{2.14}{26}} \newlabel{hilbert_rho}{{2.15}{26}} \@writefile{toc}{\contentsline {section}{\numberline {2.3.}\IeC {\CYRN }\IeC {\cyre }\IeC {\cyrr }\IeC {\cyrii }\IeC {\cyrv }\IeC {\cyrn }\IeC {\cyrii }\IeC {\cyrs }\IeC {\cyrt }\IeC {\cyrsftsn } \IeC {\cyrt }\IeC {\cyri }\IeC {\cyrp }\IeC {\cyru } \IeC {\CYRB }\IeC {\cyre }\IeC {\cyrr }\IeC {\cyrn }\IeC {\cyrsh }\IeC {\cyrt }\IeC {\cyre }\IeC {\cyrishrt }\IeC {\cyrn }\IeC {\cyra }-\IeC {\CYRN }\IeC {\cyrii }\IeC {\cyrk }\IeC {\cyro }\IeC {\cyrl }\IeC {\cyrsftsn }\IeC {\cyrs }\IeC {\cyrsftsn }\IeC {\cyrk }\IeC {\cyro }\IeC {\cyrg }\IeC {\cyro }}{26}} \newlabel{Lemma_1}{{2.1}{26}} \newlabel{eq:1}{{2.16}{26}} \newlabel{thm1_eq1}{{\hspace {-1em}\begingroup \let \hskip 1em\relax \hbox {\unhbox \voidb@x \hbox to.77778em{\hfil \vrule \vbox to.675em{\hrule width.6em\vfil \hrule }\vrule \hfil }}\GenericWarning {(amsthm) }{Package amsthm Warning: The \begingroup \let \hskip 1em\relax \hbox {\unhbox \voidb@x \hbox to.77778em{\hfil \vrule \vbox to.675em{\hrule width.6em\vfil \hrule }\vrule \hfil }}\GenericWarning {(amsthm) }{Package amsthm Warning: The \qedhere command may not work correctly here}\hskip 1em\relax \hbox {\unhbox \voidb@x \hbox to.77778em{\hfil \vrule \vbox to.675em{\hrule width.6em\vfil \hrule }\vrule \hfil }}\let \qed@elt \gdef {\qed@elt {}}\relax \endgroup command may not work correctly here}\hskip 1em\relax \hbox {\unhbox \voidb@x \hbox to.77778em{\hfil \vrule \vbox to.675em{\hrule width.6em\vfil \hrule }\vrule \hfil }}\let \qed@elt \gdef \qed@elt {}{\qed@elt {}}\qed@elt {}\relax \endgroup }{26}} \citation{Axiezer_Appr} \newlabel{thm1_nasl1}{{2.1}{27}} \newlabel{lem1_nasl0}{{2.17}{27}} \newlabel{thm1_nasl2}{{2.2}{27}} \@writefile{toc}{\contentsline {section}{\numberline {2.4.}\IeC {\CYRP }\IeC {\cyrr }\IeC {\cyrya }\IeC {\cyrm }\IeC {\cyrii } \IeC {\cyrt }\IeC {\cyre }\IeC {\cyro }\IeC {\cyrr }\IeC {\cyre }\IeC {\cyrm }\IeC {\cyri } \IeC {\cyrn }\IeC {\cyra }\IeC {\cyrb }\IeC {\cyrl }\IeC {\cyri }\IeC {\cyrzh }\IeC {\cyre }\IeC {\cyrn }\IeC {\cyrn }\IeC {\cyrya }}{27}} \newlabel{Th2}{{2.1}{27}} \newlabel{hilb_eq:2}{{2.18}{27}} \citation{Stepanets_Serduyk} \citation{Chernux} \citation{Stepanets_Serduyk} \newlabel{thm2_eq1}{{2.19}{28}} \newlabel{thm2_eq2}{{2.20}{28}} \newlabel{thm2_eq3}{{2.21}{28}} \newlabel{thm2_eq4}{{2.22}{28}} \newlabel{hilb_eq:3}{{2.23}{28}} \newlabel{eq:3m_n}{{2.24}{28}} \citation{Dzyad1977} \@writefile{toc}{\contentsline {section}{\numberline {2.5.}\IeC {\CYRO }\IeC {\cyrb }\IeC {\cyre }\IeC {\cyrr }\IeC {\cyrn }\IeC {\cyre }\IeC {\cyrn }\IeC {\cyrii } \IeC {\cyrt }\IeC {\cyre }\IeC {\cyro }\IeC {\cyrr }\IeC {\cyre }\IeC {\cyrm }\IeC {\cyri } \IeC {\cyrn }\IeC {\cyra }\IeC {\cyrb }\IeC {\cyrl }\IeC {\cyri }\IeC {\cyrzh }\IeC {\cyre }\IeC {\cyrn }\IeC {\cyrn }\IeC {\cyrya }}{29}} \newlabel{Th3}{{2.2}{29}} \newlabel{thm3_eq2}{{2.25}{29}} \newlabel{thm3_eq3}{{2.26}{29}} \newlabel{thm3_lemma1}{{2.2}{29}} \newlabel{thm3_{l}em1_{e}q2}{{2.27}{29}} \newlabel{thm3_{l}em1_{e}q3}{{2.28}{29}} \newlabel{thm3_{l}em1_{e}q4}{{2.29}{30}} \newlabel{thm3_{l}em1_{e}q5}{{2.30}{30}} \newlabel{thm3_{l}em1_{e}q7}{{2.31}{30}} \newlabel{thm3_{l}em1_{e}q8}{{2.32}{30}} \newlabel{thm3_lem1_eq9}{{2.5.}{30}} \newlabel{Lemma_remark}{{2.1}{31}} \newlabel{thm3_eq4}{{2.33}{31}} \citation{Radz2001} \newlabel{hilbert_a1}{{2.34}{33}} \newlabel{hilbert_thm_4}{{2.3}{34}} \newlabel{hilbert_a2}{{2.35}{34}} \newlabel{hilbert_a3}{{2.36}{35}} \newlabel{hilbert_thm_5}{{2.4}{36}} \newlabel{hilbert_thm_4nas1}{{2.5}{37}} \newlabel{hilbert_e(r^n)}{{2.37}{37}} \newlabel{hilbert_thm_4nas2}{{2.6}{37}} \citation{Mixlin} \citation{Mixlin} \@writefile{toc}{\contentsline {section}{\numberline {2.6.}\IeC {\CYRZ }\IeC {\cyra }\IeC {\cyrs }\IeC {\cyrt }\IeC {\cyro }\IeC {\cyrs }\IeC {\cyru }\IeC {\cyrv }\IeC {\cyra }\IeC {\cyrn }\IeC {\cyrn }\IeC {\cyrya } \IeC {\cyrd }\IeC {\cyro } \IeC {\cyrm }\IeC {\cyre }\IeC {\cyrt }\IeC {\cyro }\IeC {\cyrd }\IeC {\cyru } \IeC {\CYRR }\IeC {\cyrii }\IeC {\cyrt }\IeC {\cyrc }\IeC {\cyra }}{38}} \newlabel{hilb_eq:4}{{2.38}{38}} \citation{Birman_Solomjak} \newlabel{eq:5}{{2.39}{39}} \newlabel{Lemma_2}{{2.3}{39}} \newlabel{eq:6}{{2.40}{39}} \newlabel{Th4}{{2.5}{40}} \newlabel{eq:7}{{2.41}{40}} \newlabel{Th5}{{2.6}{41}} \newlabel{Zad_Koshi1}{{2.42}{42}} \newlabel{Zad_Koshi2}{{2.43}{42}} \newlabel{Th6}{{2.7}{42}} \@writefile{toc}{\contentsline {section}{\IeC {\CYRV }\IeC {\cyri }\IeC {\cyrs }\IeC {\cyrn }\IeC {\cyro }\IeC {\cyrv }\IeC {\cyrk }\IeC {\cyri } \IeC {\cyrd }\IeC {\cyro } \IeC {\cyrr }\IeC {\cyro }\IeC {\cyrz }\IeC {\cyrd }\IeC {\cyrii }\IeC {\cyrl }\IeC {\cyru } \ref {chapter2}}{42}} \citation{Gorb_Gr_Torba1} \citation{Gorb_Gr_Torba} \citation{Rad1983} \@writefile{toc}{\contentsline {chapter}{\normalfont \MakeUppercase {{\Ukrainian \CYRR \cyro \cyrz \cyrd \cyrii \cyrl }} 3. \IeC {\CYRP }\IeC {\cyrr }\IeC {\cyrya }\IeC {\cyrm }\IeC {\cyrii } \IeC {\cyrii } \IeC {\cyro }\IeC {\cyrb }\IeC {\cyre }\IeC {\cyrr }\IeC {\cyrn }\IeC {\cyre }\IeC {\cyrn }\IeC {\cyrii } \IeC {\cyrt }\IeC {\cyre }\IeC {\cyro }\IeC {\cyrr }\IeC {\cyre }\IeC {\cyrm }\IeC {\cyri } \IeC {\cyrv } \IeC {\cyrt }\IeC {\cyre }\IeC {\cyro }\IeC {\cyrr }\IeC {\cyrii }\IeC {\cyryi } \IeC {\cyrn }\IeC {\cyra }\IeC {\cyrb }\IeC {\cyrl }\IeC {\cyri }\IeC {\cyrzh }\IeC {\cyre }\IeC {\cyrn }\IeC {\cyrsftsn } \IeC {\cyrv } \IeC {\cyrb }\IeC {\cyra }\IeC {\cyrn }\IeC {\cyra }\IeC {\cyrh }\IeC {\cyro }\IeC {\cyrv }\IeC {\cyro }\IeC {\cyrm }\IeC {\cyru } \IeC {\cyrp }\IeC {\cyrr }\IeC {\cyro }\IeC {\cyrs }\IeC {\cyrt }\IeC {\cyro }\IeC {\cyrr }\IeC {\cyrii }}{44}} \@writefile{lof}{\addvspace {10\p@ }} \@writefile{lot}{\addvspace {10\p@ }} \newlabel{chapter3}{{3}{44}} \@writefile{toc}{\contentsline {section}{\numberline {3.1.}\IeC {\CYRO }\IeC {\cyrs }\IeC {\cyrn }\IeC {\cyro }\IeC {\cyrv }\IeC {\cyrn }\IeC {\cyrii } \IeC {\cyrp }\IeC {\cyro }\IeC {\cyrn }\IeC {\cyrya }\IeC {\cyrt }\IeC {\cyrt }\IeC {\cyrya } \IeC {\cyrt }\IeC {\cyra } \IeC {\cyro }\IeC {\cyrz }\IeC {\cyrn }\IeC {\cyra }\IeC {\cyrch }\IeC {\cyre }\IeC {\cyrn }\IeC {\cyrn }\IeC {\cyrya }}{44}} \newlabel{XiAlphaDefn}{{3.1}{44}} \citation{Gor1991} \citation{LubMatsaev} \citation{Gorb_Gr_Torba} \citation{MGorb_BDVectors} \citation{MGorb_OperAppr} \citation{MGorbShilinst_ExpA} \newlabel{XiAlphaEmbed}{{3.2}{45}} \newlabel{AinLpDef}{{3.1}{45}} \newlabel{NeKvaziAnalit}{{3.3}{45}} \citation{MGorb_AnSolutions} \citation{Kyptsov} \newlabel{MUDef}{{3.4}{46}} \newlabel{w_{d}ef}{{3.5}{46}} \newlabel{Delta_{d}ef}{{3.6}{46}} \citation{LubMatsaev} \newlabel{w_sym_{d}ef}{{3.7}{47}} \newlabel{RmkOmegaWhenU(t)Bounded}{{3.1}{47}} \citation{Yadro_Marchenko} \citation{Yadro_Marchenko} \@writefile{toc}{\contentsline {section}{\numberline {3.2.}\IeC {\CYRO }\IeC {\cyrd }\IeC {\cyri }\IeC {\cyrn } \IeC {\cyrk }\IeC {\cyrl }\IeC {\cyra }\IeC {\cyrs } \IeC {\cyrii }\IeC {\cyrn }\IeC {\cyrt }\IeC {\cyre }\IeC {\cyrg }\IeC {\cyrr }\IeC {\cyra }\IeC {\cyrl }\IeC {\cyrsftsn }\IeC {\cyrn }\IeC {\cyri }\IeC {\cyrh } \IeC {\cyrya }\IeC {\cyrd }\IeC {\cyre }\IeC {\cyrr }}{48}} \newlabel{Lemma_Yadro_1}{{3.1}{48}} \citation{LubMatsaev} \citation{Marchenko2} \newlabel{AlphaToInfty}{{3.8}{49}} \newlabel{NapivadBeta}{{3.9}{49}} \newlabel{IntBeta}{{3.10}{49}} \newlabel{LimBeta}{{3.11}{49}} \newlabel{SumBeta}{{3.12}{49}} \citation{Rudin1970} \newlabel{SumBetaQ}{{3.13}{50}} \newlabel{S_a_k}{{3.14}{50}} \citation{Yadro_Marchenko} \newlabel{f(rz)_1}{{3.15}{51}} \newlabel{n(r)}{{3.16}{51}} \newlabel{Bt/t_leq_1}{{3.17}{51}} \newlabel{QuaziMonot_Bt/t}{{3.18}{51}} \newlabel{Bk/k}{{3.19}{51}} \newlabel{f(rz)_2}{{3.20}{52}} \newlabel{f(rz)_3}{{3.21}{52}} \newlabel{f(rz)}{{3.22}{52}} \newlabel{Lemma_Yadro_2}{{3.2}{53}} \citation{Marchenko2} \newlabel{RmkLemma_Yadro_1}{{3.2}{54}} \newlabel{Lemms_remark}{{3.23}{54}} \@writefile{toc}{\contentsline {section}{\numberline {3.3.}\IeC {\CYRA }\IeC {\cyrb }\IeC {\cyrs }\IeC {\cyrt }\IeC {\cyrr }\IeC {\cyra }\IeC {\cyrk }\IeC {\cyrt }\IeC {\cyrn }\IeC {\cyra } \IeC {\cyrn }\IeC {\cyre }\IeC {\cyrr }\IeC {\cyrii }\IeC {\cyrv }\IeC {\cyrn }\IeC {\cyrii }\IeC {\cyrs }\IeC {\cyrt }\IeC {\cyrsftsn } \IeC {\CYRD }\IeC {\cyrzh }\IeC {\cyre }\IeC {\cyrk }\IeC {\cyrs }\IeC {\cyro }\IeC {\cyrn }\IeC {\cyra } \IeC {\cyrv } \IeC {\cyrb }\IeC {\cyra }\IeC {\cyrn }\IeC {\cyra }\IeC {\cyrh }\IeC {\cyro }\IeC {\cyrv }\IeC {\cyro }\IeC {\cyrm }\IeC {\cyru } \IeC {\cyrp }\IeC {\cyrr }\IeC {\cyro }\IeC {\cyrs }\IeC {\cyrt }\IeC {\cyro }\IeC {\cyrr }\IeC {\cyrii }}{54}} \newlabel{Th1}{{3.1}{54}} \newlabel{eq:2}{{3.24}{54}} \newlabel{Th1rmk}{{3.3}{54}} \newlabel{L0L}{{3.25}{54}} \newlabel{UmovaNaAlpha}{{3.26}{55}} \newlabel{x(rn)inC(infty)}{{3.27}{55}} \newlabel{IntK(nu)U}{{3.28}{55}} \newlabel{Ax(nu)D(A)}{{3.29}{55}} \newlabel{Ax(nu)}{{3.30}{56}} \newlabel{NormA(nu)x}{{3.31}{56}} \newlabel{x(rn)inE(A)}{{3.32}{56}} \newlabel{xx_rk(def)}{{3.33}{57}} \newlabel{Er(1)}{{3.34}{57}} \newlabel{NaslDlyaD(A^m)}{{3.1}{58}} \newlabel{eq:3}{{3.35}{58}} \citation{LubMatsaev} \citation{LubMatsaev} \newlabel{NaslDlyaD(A^m)2}{{3.2}{59}} \newlabel{eq:4}{{3.36}{59}} \@writefile{toc}{\contentsline {section}{\numberline {3.4.}\IeC {\CYRS }\IeC {\cyrp }\IeC {\cyre }\IeC {\cyrk }\IeC {\cyrt }\IeC {\cyrr }\IeC {\cyra }\IeC {\cyrl }\IeC {\cyrsftsn }\IeC {\cyrn }\IeC {\cyrii } \IeC {\cyrp }\IeC {\cyrii }\IeC {\cyrd }\IeC {\cyrp }\IeC {\cyrr }\IeC {\cyro }\IeC {\cyrs }\IeC {\cyrt }\IeC {\cyro }\IeC {\cyrr }\IeC {\cyri } \IeC {\cyrn }\IeC {\cyre }\IeC {\cyrk }\IeC {\cyrv }\IeC {\cyra }\IeC {\cyrz }\IeC {\cyrii }\IeC {\cyra }\IeC {\cyrn }\IeC {\cyra }\IeC {\cyrl }\IeC {\cyrii }\IeC {\cyrt }\IeC {\cyri }\IeC {\cyrch }\IeC {\cyrn }\IeC {\cyro }\IeC {\cyrg }\IeC {\cyro } \IeC {\cyro }\IeC {\cyrp }\IeC {\cyre }\IeC {\cyrr }\IeC {\cyra }\IeC {\cyrt }\IeC {\cyro }\IeC {\cyrr }\IeC {\cyra }}{59}} \newlabel{SpectralSubspaceSection}{{3.4.}{59}} \newlabel{InvThetaDef}{{3.37}{59}} \newlabel{InvMthetaDef}{{3.38}{59}} \citation{Marchenko2} \citation{LubMatsaev} \newlabel{InvLemma1.1.1}{{3.1}{60}} \newlabel{InvPphi}{{3.39}{60}} \newlabel{InvAPphi}{{3.40}{60}} \newlabel{InvPx=x}{{3.41}{60}} \citation{LubMatsaev} \newlabel{InvLemmaEmbedding}{{3.3}{61}} \newlabel{Inv01}{{3.42}{61}} \newlabel{Inv02}{{3.43}{61}} \newlabel{Inv03}{{3.44}{61}} \citation{LubMatsaev} \citation{LubMatsaev} \citation{MGorbShilinst_ExpA} \citation{LubMatsaev} \newlabel{Inv04}{{3.45}{63}} \newlabel{Inv05}{{3.46}{63}} \newlabel{Inv06}{{3.47}{63}} \newlabel{Inv07}{{3.48}{64}} \newlabel{Inv08}{{3.49}{64}} \newlabel{InvBadBernstein}{{3.50}{64}} \newlabel{Inv09}{{3.51}{64}} \newlabel{Inv10}{{3.52}{65}} \@writefile{toc}{\contentsline {section}{\numberline {3.5.}\IeC {\CYRU }\IeC {\cyrz }\IeC {\cyra }\IeC {\cyrg }\IeC {\cyra }\IeC {\cyrl }\IeC {\cyrsftsn }\IeC {\cyrn }\IeC {\cyre }\IeC {\cyrn }\IeC {\cyra } \IeC {\cyrn }\IeC {\cyre }\IeC {\cyrr }\IeC {\cyrii }\IeC {\cyrv }\IeC {\cyrn }\IeC {\cyrii }\IeC {\cyrs }\IeC {\cyrt }\IeC {\cyrsftsn } \IeC {\cyrt }\IeC {\cyri }\IeC {\cyrp }\IeC {\cyru } \IeC {\CYRB }\IeC {\cyre }\IeC {\cyrr }\IeC {\cyrn }\IeC {\cyrsh }\IeC {\cyrt }\IeC {\cyre }\IeC {\cyrishrt }\IeC {\cyrn }\IeC {\cyra }}{65}} \newlabel{Inv10a}{{3.53}{65}} \citation{Marchenko2} \citation{Marchenko2} \citation{LubMatsaev} \newlabel{PropInvBadBernstein2}{{3.2}{66}} \newlabel{InvBadBernstein2}{{3.54}{66}} \newlabel{ThmBernsteinIneq}{{3.2}{66}} \newlabel{InvBernstein}{{3.55}{66}} \newlabel{Inv11}{{3.56}{66}} \newlabel{Inv12}{{3.57}{66}} \newlabel{InvLemmaBernsteinDelta}{{3.3}{67}} \newlabel{InvBernsteinDelta}{{3.58}{67}} \@writefile{toc}{\contentsline {section}{\numberline {3.6.}\IeC {\CYRO }\IeC {\cyrb }\IeC {\cyre }\IeC {\cyrr }\IeC {\cyrn }\IeC {\cyre }\IeC {\cyrn }\IeC {\cyrii } \IeC {\cyrt }\IeC {\cyre }\IeC {\cyro }\IeC {\cyrr }\IeC {\cyre }\IeC {\cyrm }\IeC {\cyri } \IeC {\cyrt }\IeC {\cyre }\IeC {\cyro }\IeC {\cyrr }\IeC {\cyrii }\IeC {\cyryi } \IeC {\cyrn }\IeC {\cyra }\IeC {\cyrb }\IeC {\cyrl }\IeC {\cyri }\IeC {\cyrzh }\IeC {\cyre }\IeC {\cyrn }\IeC {\cyrn }\IeC {\cyrya }}{68}} \newlabel{InvThm}{{3.3}{68}} \newlabel{InvEstimate}{{3.59}{68}} \newlabel{InvOmegaK}{{3.60}{68}} \newlabel{InvLemm}{{3.4}{68}} \newlabel{InvLemmEstimate}{{3.61}{68}} \newlabel{InvLemmOmegaK}{{3.62}{68}} \newlabel{Inv13}{{3.63}{69}} \newlabel{Inv14}{{3.64}{70}} \newlabel{Inv15}{{3.65}{70}} \newlabel{Inv16}{{3.66}{70}} \@writefile{toc}{\contentsline {section}{\numberline {3.7.}\IeC {\CYRP }\IeC {\cyrr }\IeC {\cyri }\IeC {\cyrk }\IeC {\cyrl }\IeC {\cyra }\IeC {\cyrd }\IeC {\cyri } \IeC {\cyrz }\IeC {\cyra }\IeC {\cyrs }\IeC {\cyrt }\IeC {\cyro }\IeC {\cyrs }\IeC {\cyru }\IeC {\cyrv }\IeC {\cyra }\IeC {\cyrn }\IeC {\cyrn }\IeC {\cyrya } \IeC {\cyra }\IeC {\cyrb }\IeC {\cyrs }\IeC {\cyrt }\IeC {\cyrr }\IeC {\cyra }\IeC {\cyrk }\IeC {\cyrt }\IeC {\cyrn }\IeC {\cyri }\IeC {\cyrh } \IeC {\cyrn }\IeC {\cyre }\IeC {\cyrr }\IeC {\cyrii }\IeC {\cyrv }\IeC {\cyrn }\IeC {\cyro }\IeC {\cyrs }\IeC {\cyrt }\IeC {\cyre }\IeC {\cyrishrt } \IeC {\CYRD }\IeC {\cyrzh }\IeC {\cyre }\IeC {\cyrk }\IeC {\cyrs }\IeC {\cyro }\IeC {\cyrn }\IeC {\cyra } \IeC {\cyrt }\IeC {\cyra } \IeC {\CYRB }\IeC {\cyre }\IeC {\cyrr }\IeC {\cyrn }\IeC {\cyrsh }\IeC {\cyrt }\IeC {\cyre }\IeC {\cyrishrt }\IeC {\cyrn }\IeC {\cyra } \IeC {\cyrd }\IeC {\cyro } \IeC {\cyrk }\IeC {\cyro }\IeC {\cyrn }\IeC {\cyrk }\IeC {\cyrr }\IeC {\cyre }\IeC {\cyrt }\IeC {\cyrn }\IeC {\cyri }\IeC {\cyrh } \IeC {\cyrp }\IeC {\cyrr }\IeC {\cyro }\IeC {\cyrs }\IeC {\cyrt }\IeC {\cyro }\IeC {\cyrr }\IeC {\cyrii }\IeC {\cyrv }}{72}} \newlabel{Example2}{{3.2}{72}} \newlabel{NormaZsyvy}{{3.67}{72}} \citation{GK1989} \citation{Rudin1970} \newlabel{example_inequal}{{3.68}{73}} \citation{LubMatsaev} \@writefile{toc}{\contentsline {section}{\IeC {\CYRV }\IeC {\cyri }\IeC {\cyrs }\IeC {\cyrn }\IeC {\cyro }\IeC {\cyrv }\IeC {\cyrk }\IeC {\cyri } \IeC {\cyrd }\IeC {\cyro } \IeC {\cyrr }\IeC {\cyro }\IeC {\cyrz }\IeC {\cyrd }\IeC {\cyrii }\IeC {\cyrl }\IeC {\cyru } \ref {chapter3}}{75}} \citation{GrushkaTorba2007} \citation{GrushkaTorba2007a} \citation{Gor1991} \citation{Sue1979} \citation{GM2004} \citation{Ryab2006} \citation{AG1993} \citation{GM1994} \citation{GM1996} \citation{MVR2002} \citation{GM2004} \@writefile{toc}{\contentsline {chapter}{\normalfont \MakeUppercase {{\Ukrainian \CYRR \cyro \cyrz \cyrd \cyrii \cyrl }} 4. \IeC {\CYRP }\IeC {\cyrr }\IeC {\cyrya }\IeC {\cyrm }\IeC {\cyrii } \IeC {\cyrt }\IeC {\cyra } \IeC {\cyro }\IeC {\cyrb }\IeC {\cyre }\IeC {\cyrr }\IeC {\cyrn }\IeC {\cyre }\IeC {\cyrn }\IeC {\cyrii } \IeC {\cyrt }\IeC {\cyre }\IeC {\cyro }\IeC {\cyrr }\IeC {\cyre }\IeC {\cyrm }\IeC {\cyri } \IeC {\cyrn }\IeC {\cyra }\IeC {\cyrb }\IeC {\cyrl }\IeC {\cyri }\IeC {\cyrzh }\IeC {\cyre }\IeC {\cyrn }\IeC {\cyri }\IeC {\cyrh } \IeC {\cyrm }\IeC {\cyre }\IeC {\cyrt }\IeC {\cyro }\IeC {\cyrd }\IeC {\cyrii }\IeC {\cyrv } \IeC {\cyrr }\IeC {\cyro }\IeC {\cyrz }\IeC {\cyrv }'\IeC {\cyrya }\IeC {\cyrz }\IeC {\cyru }\IeC {\cyrv }\IeC {\cyra }\IeC {\cyrn }\IeC {\cyrn }\IeC {\cyrya } \IeC {\cyra }\IeC {\cyrb }\IeC {\cyrs }\IeC {\cyrt }\IeC {\cyrr }\IeC {\cyra }\IeC {\cyrk }\IeC {\cyrt }\IeC {\cyrn }\IeC {\cyro }\IeC {\cyryi } \IeC {\cyrz }\IeC {\cyra }\IeC {\cyrd }\IeC {\cyra }\IeC {\cyrch }\IeC {\cyrii } \IeC {\cyrk }\IeC {\cyro }\IeC {\cyrsh }\IeC {\cyrii }}{77}} \@writefile{lof}{\addvspace {10\p@ }} \@writefile{lot}{\addvspace {10\p@ }} \newlabel{chapter4}{{4}{77}} \@writefile{toc}{\contentsline {section}{\numberline {4.1.}\IeC {\CYRP }\IeC {\cyrr }\IeC {\cyrya }\IeC {\cyrm }\IeC {\cyrii } \IeC {\cyrt }\IeC {\cyre }\IeC {\cyro }\IeC {\cyrr }\IeC {\cyre }\IeC {\cyrm }\IeC {\cyri } \IeC {\cyrn }\IeC {\cyra }\IeC {\cyrb }\IeC {\cyrl }\IeC {\cyri }\IeC {\cyrzh }\IeC {\cyre }\IeC {\cyrn }\IeC {\cyrn }\IeC {\cyrya }}{77}} \newlabel{lager_0}{{4.1}{77}} \newlabel{lager_1}{{4.2}{77}} \citation{MVR2002} \citation{Ryab2006} \newlabel{lager_2}{{4.3}{78}} \newlabel{lager_3}{{4.4}{78}} \newlabel{lager_3_1}{{4.5}{78}} \newlabel{lager_4}{{4.6}{78}} \citation{GM2004} \newlabel{lager_thm1}{{4.1}{79}} \newlabel{lager_5}{{4.7}{79}} \newlabel{lager_6}{{4.8}{79}} \newlabel{lager_thm1_1}{{4.2}{80}} \newlabel{lager_6_1}{{4.9}{80}} \newlabel{lager_6_2}{{4.10}{81}} \newlabel{lager_6_3}{{4.11}{81}} \newlabel{lager_6_4}{{4.12}{81}} \newlabel{lager_thm1_2}{{4.3}{81}} \newlabel{lager_6_5}{{4.13}{81}} \newlabel{lager_6_6}{{4.14}{81}} \newlabel{lager_6_6a}{{4.15}{82}} \newlabel{lager_6_7}{{4.16}{82}} \newlabel{lager_6_8}{{4.17}{82}} \newlabel{lager_6_9}{{4.18}{82}} \@writefile{toc}{\contentsline {section}{\numberline {4.2.}\IeC {\CYRO }\IeC {\cyrb }\IeC {\cyre }\IeC {\cyrr }\IeC {\cyrn }\IeC {\cyre }\IeC {\cyrn }\IeC {\cyrii } \IeC {\cyrt }\IeC {\cyre }\IeC {\cyro }\IeC {\cyrr }\IeC {\cyre }\IeC {\cyrm }\IeC {\cyri } \IeC {\cyrn }\IeC {\cyra }\IeC {\cyrb }\IeC {\cyrl }\IeC {\cyri }\IeC {\cyrzh }\IeC {\cyre }\IeC {\cyrn }\IeC {\cyrn }\IeC {\cyrya }}{83}} \newlabel{lager_thm2}{{4.4}{83}} \newlabel{lager_8}{{4.19}{84}} \newlabel{lager_9}{{4.20}{84}} \newlabel{lager_thm2_1}{{4.5}{86}} \newlabel{lager_10}{{4.21}{86}} \newlabel{lager_13}{{4.22}{86}} \citation{GK1989} \newlabel{lager_14}{{4.23}{87}} \newlabel{lager_16}{{4.24}{87}} \newlabel{lager_17}{{4.25}{87}} \newlabel{lager_18}{{4.26}{87}} \@writefile{toc}{\contentsline {section}{\numberline {4.3.}\IeC {\CYRP }\IeC {\cyrr }\IeC {\cyrya }\IeC {\cyrm }\IeC {\cyrii } \IeC {\cyrt }\IeC {\cyra } \IeC {\cyro }\IeC {\cyrb }\IeC {\cyre }\IeC {\cyrr }\IeC {\cyrn }\IeC {\cyre }\IeC {\cyrn }\IeC {\cyrii } \IeC {\cyrt }\IeC {\cyre }\IeC {\cyro }\IeC {\cyrr }\IeC {\cyre }\IeC {\cyrm }\IeC {\cyri } \IeC {\cyrn }\IeC {\cyra }\IeC {\cyrb }\IeC {\cyrl }\IeC {\cyri }\IeC {\cyrzh }\IeC {\cyre }\IeC {\cyrn }\IeC {\cyrn }\IeC {\cyrya } \IeC {\cyrv } \IeC {\cyrk }\IeC {\cyrl }\IeC {\cyra }\IeC {\cyrs }\IeC {\cyra }\IeC {\cyrh } \IeC {\cyrn }\IeC {\cyre }\IeC {\cyrs }\IeC {\cyrk }\IeC {\cyrii }\IeC {\cyrn }\IeC {\cyrch }\IeC {\cyre }\IeC {\cyrn }\IeC {\cyrn }\IeC {\cyro } \IeC {\cyrd }\IeC {\cyri }\IeC {\cyrf }\IeC {\cyre }\IeC {\cyrr }\IeC {\cyre }\IeC {\cyrn }\IeC {\cyrc }\IeC {\cyrii }\IeC {\cyrishrt }\IeC {\cyro }\IeC {\cyrv }\IeC {\cyrn }\IeC {\cyri }\IeC {\cyrh } \IeC {\cyrv }\IeC {\cyre }\IeC {\cyrk }\IeC {\cyrt }\IeC {\cyro }\IeC {\cyrr }\IeC {\cyrii }\IeC {\cyrv } \IeC {\cyro }\IeC {\cyrp }\IeC {\cyre }\IeC {\cyrr }\IeC {\cyra }\IeC {\cyrt }\IeC {\cyro }\IeC {\cyrr }\IeC {\cyra } $A$}{87}} \citation{Rad1983} \citation{MGorb_AnSolutions} \citation{MVR2002} \newlabel{lager_20}{{4.27}{88}} \newlabel{lager_thm3_1}{{4.6}{88}} \newlabel{lager_21}{{4.28}{88}} \newlabel{lager_22}{{4.29}{89}} \newlabel{lager_24}{{4.30}{89}} \newlabel{lager_24_1}{{4.31}{89}} \newlabel{lager_25}{{4.32}{89}} \citation{GK1989} \newlabel{lager_26}{{4.33}{90}} \newlabel{lager_27}{{4.34}{90}} \newlabel{lager_30}{{4.35}{90}} \newlabel{lager_31}{{4.36}{90}} \newlabel{lager_thm3_0}{{4.7}{91}} \newlabel{lager_thm3_2}{{4.1}{91}} \newlabel{lager_32}{{4.37}{91}} \newlabel{lager_34}{{4.38}{91}} \newlabel{lager_39}{{4.39}{92}} \newlabel{lager_38}{{4.40}{92}} \newlabel{lager_41}{{4.41}{92}} \newlabel{lager_thm3_3}{{4.2}{93}} \newlabel{lager_42}{{4.42}{93}} \newlabel{lager_43}{{4.43}{93}} \newlabel{lager_44}{{4.44}{93}} \newlabel{lager_45}{{4.45}{94}} \newlabel{lager_46}{{4.46}{94}} \newlabel{lager_47}{{4.47}{94}} \citation{Torba2007} \newlabel{lager_48}{{4.48}{95}} \@writefile{toc}{\contentsline {section}{\IeC {\CYRV }\IeC {\cyri }\IeC {\cyrs }\IeC {\cyrn }\IeC {\cyro }\IeC {\cyrv }\IeC {\cyrk }\IeC {\cyri } \IeC {\cyrd }\IeC {\cyro } \IeC {\cyrr }\IeC {\cyro }\IeC {\cyrz }\IeC {\cyrd }\IeC {\cyrii }\IeC {\cyrl }\IeC {\cyru } \ref {chapter4}}{95}} \@writefile{toc}{\contentsline {chapter}{\IeC {\CYRV }\IeC {\cyri }\IeC {\cyrs }\IeC {\cyrn }\IeC {\cyro }\IeC {\cyrv }\IeC {\cyrk }\IeC {\cyri }}{96}} \bibcite{Axiezer_Appr}{1} \bibcite{Axizer-Glazman}{2} \bibcite{Bab1986}{3} \bibcite{Bab1984}{4} \bibcite{Bernstein1937}{5} \bibcite{Bernstein1952}{6} \bibcite{Bernstein1954}{7} \bibcite{Birman_Solomjak}{8} \bibcite{MVR2002}{9} \bibcite{Vinogradov2005}{10} \bibcite{GM2004}{11} \@writefile{toc}{\contentsline {chapter}{\IeC {\CYRS }\IeC {\cyrp }\IeC {\cyri }\IeC {\cyrs }\IeC {\cyro }\IeC {\cyrk } \IeC {\cyrv }\IeC {\cyri }\IeC {\cyrk }\IeC {\cyro }\IeC {\cyrr }\IeC {\cyri }\IeC {\cyrs }\IeC {\cyrt }\IeC {\cyra }\IeC {\cyrn }\IeC {\cyri }\IeC {\cyrh } \IeC {\cyrd }\IeC {\cyrzh }\IeC {\cyre }\IeC {\cyrr }\IeC {\cyre }\IeC {\cyrl }}{97}} \bibcite{MGorb_BDVectors}{12} \bibcite{MGorbShilinst_ExpA}{13} \bibcite{MGorb_OperAppr}{14} \bibcite{Gorb2001}{15} \bibcite{GK1989}{16} \bibcite{MGorb_AnSolutions}{17} \bibcite{GG1984}{18} \bibcite{Gorb_Gr_Torba1}{19} \bibcite{Gorb_Gr_Torba}{20} \bibcite{Djushkariani}{21} \bibcite{Dzyad1977}{22} \bibcite{Marchenko2}{23} \bibcite{Kash2002}{24} \bibcite{KM1998}{25} \bibcite{KH1983}{26} \bibcite{Kyptsov}{27} \bibcite{Lychka}{28} \bibcite{Lubich1960}{29} \bibcite{LubMatsaev}{30} \bibcite{Yadro_Marchenko}{31} \bibcite{Mixlin}{32} \bibcite{Radzievsky1997}{33} \bibcite{Radzievsky1998}{34} \bibcite{Radz2001}{35} \bibcite{Radzievsky2003}{36} \bibcite{Rad1983}{37} \bibcite{Ryab2006}{38} \bibcite{Serdyuk2005}{39} \bibcite{Stepanets2002_1}{40} \bibcite{Stepanets2002_2}{41} \bibcite{Stepanets_Serduyk}{42} \bibcite{Sue1979}{43} \bibcite{Terjoxin}{44} \bibcite{Timan1960}{45} \bibcite{Torba2007}{46} \bibcite{Chernux1967}{47} \bibcite{Chernux}{48} \bibcite{AG1993}{49} \bibcite{AGM1994}{50} \bibcite{BerLop2002}{51} \bibcite{ButzerBerens1967}{52} \bibcite{DeVoreLor1993}{53} \bibcite{Dostanic1996}{54} \bibcite{FKS2006}{55} \bibcite{GM1994}{56} \bibcite{GM2005}{57} \bibcite{Gor1991}{58} \bibcite{GrushkaTorba2007}{59} \bibcite{GrushkaTorba2007a}{60} \bibcite{Huang1997}{61} \bibcite{Kryakin2005}{62} \bibcite{Levin1996}{63} \bibcite{MV1999}{64} \bibcite{Rudin1970}{65} \bibcite{Vasil'ev2001}{66} \newlabel{last_biblio}{{66}{103}}