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\bibitem[BJO]{18} O.~Bratelli, P.~E.~T. Jorgensen, and V.~Ostrovskyi, \emph{Representations theory and numerical {AF}-invariants. {T}he representations and centralizers of certain states on ${O}_d$}, Mem. Amer. Math. Soc. \bibitem[BOS88]{5} Yu.~M. Berezansky, V.~L. Ostrovskyi, and Yu.~S. Samoilenko, \emph{Decomposition on eigenfunctions of families of commuting operators and representations of commutation relations}, Ukr. Math. Zh. \textbf{40} (1988), no.~1, 106--109. \bibitem[OP00]{10} V.~Ostrovskyi and D.~Proskurin, \emph{Operator relations, dynamical systems and representations of a clas of wick algebras}, Operator Theory Adv. Appl. \textbf{118} (2000), 335--345. \bibitem[OS99]{22} V.~Ostrovskyi and Yu. Samoilenko, \emph{Introduction to the theory of representations of finitely presented $*$-algebras. {I}. {R}epresentations by bounded operators}, vol.~11, Rev. Math.\& Math. Phys., no.~1, Gordon \& Breach, London, 1999. \bibitem[Ost00]{16} V.~Ostrovskyi, \emph{On commutation relations arising from one-dimensional flow}, Methods Funct. Anal. Topol. \textbf{6} (2000), no.~2, 60--65. \bibitem[Ost96]{vo_mfat} V.~Ostrovskyi, \emph{On operator relations, centered operators, and nonbijective dynamical systems}, Methods Funct. Anal. Topol. \textbf{2} (1996), no.~3-4, 114--121. \bibitem[BOS88]{bos} Yu.~M. Berezansky, V.~L. Ostrovski\u\i{}, and Yu.~S. Samo\u\i{}lenko, \emph{Eigenfunction expansion of families of commuting operators and representations of commutation relations}, Ukr. Math. Zh. \textbf{40} (1988), no.~1, 106--109, (Russian). \bibitem[OS88]{umz88} V.~L. Ostrovski\u\i{} and Yu.~S. Samo\u\i{}lenko, \emph{Application of the projection spectral theorem to noncommuting families of operators}, Ukr. Math. Zh. \textbf{40} (1988), no.~4, 469--481, (Russian). \bibitem[OS89a]{fa} \bysame, \emph{Families of unbounded selfadjoint operators, which are connected with non-{L}ie relations}, Funct. Anal. Prilozh. \textbf{23} (1989), no.~2, 67--68, (Russian). \bibitem[OS89b]{lomi} \bysame, \emph{Representations of $*$-algebras with two generators and polynomial relations}, Zap. Nauchn. Semin. LOMI \textbf{172} (1989), no.~%, 121--129, (Russian). \bibitem[OS89c]{romp} \bysame, \emph{Unbounded operators satisfying non-{L}ie commutation relations}, Repts. math. phys. \textbf{28} (1989), no.~1, 91--103. \bibitem[OS92a]{adv} \bysame, \emph{Structure theorems for a pair of unbounded selfadjoint operators satisfying a quadratic relation}, Adv. Sov. Math. \textbf{9} (1992), 131--149. \bibitem[OS92b]{ossilv} V.~L. Ostrovski\u\i{} and S.~D. Silvestrov, \emph{Representations of the real forms of a graded analogue of the {L}ie algebra {$sl(2,\Bbb C)$}}, Ukr. Mat. Zhurn. \textbf{44} (1992), no.~11, 1518--1524, (Russian). \bibitem[OS93a]{umz93} V.~L. Ostrovski\u\i{} and Yu.~S. Samo\u\i{}lenko, \emph{On pairs of unbounded selfadjoint operators connected with albebraic relation}, Ukrain. Math. Zh. \textbf{45} (1993), no.~9, 261 -- 266, (Russian). \bibitem[OS93b]{slie} V.~L. Ostrovsky\u\i{} and Yu.~S. Samo\u\i{}lenko, \emph{On pairs of self-adjoint operators}, Seminar Sophus Lie \textbf{3} (1993), no.~2, 185--218. \bibitem[OS95a]{umz95} V.~L. Ostrovs'ky\u\i{} and Yu.~S. Samo\u\i{}lenko, \emph{On representations of the {H}eisenberg relations for the quantum {$E(2)$} group}, Ukr. Mat. Zh. \textbf{47} (1995), no.~5, 689--692. \bibitem[OS95b]{non} \bysame, \emph{Representations of $*$-algebras and dynamical systems}, Nonlinear Math. Phys. \textbf{2} (1995), no.~2, 133--150. \bibitem[OS95c]{romp2} V.~L. Ostrovsky\u\i{} and Yu.~S. Samo\u\i{}lenko, \emph{Representations of quadratic $*$-algebras by bounded and unbounded operators}, Repts. Math. Phys. \textbf{35} (1995), no.~2/3, 283--301. \bibitem[OS96]{fu2} V.~L. Ostrovs'ky\u\i{} and Yu.~S. Samo\u\i{}lenko, \emph{On representations of $*$-algebras in mathematical physics}, Nonlinear Mathematical Physics \textbf{3} (1996), no.~1--2, 160--163. \bibitem[Ost89]{three} V.~L. Ostrovski\u\i{}, \emph{Representations of a family of quadratic algebras with three generators}, Applications of methods of Functional Analysis in Mathematical Physics, Inst. Math. Acad. Sci. Ukr. SSR, Kiev, 1989, (Russian; Translated in: Selecta Math. Sov., 1993, {\bf 12}), pp.~94--103. \bibitem[Ost93]{sel} \bysame, \emph{Representations of a family of quadratic algebras with three generators}, Selecta Math. Sov. \textbf{12} (1993), no.~2, 119--127. \bibitem[OT95a]{ostur2} V.~L. Ostrovs'ky\u\i{} and L.~B. Turovskaya, \emph{On unbounded centered operators}, International Workshop on Operator theory and Applications IWOTA~95. Final Programme and Book of Abstracts, Univ. Regensburg, July 31--August 4 1995, pp.~54--55. \bibitem[OT95b]{ostur} V.~L. Ostrovsky\u\i{} and L.~B. Turovskaya, \emph{Representations of $*$-algebras and multidimensional dynamical systems}, Ukr. Mat. Zhurn. \textbf{47} (1995), no.~4, 488--497. \bibitem[BOS88]{bos} Yu.~M. Berezanski\u\i{}, V.~L. Ostrovski\u\i{}, and Yu.~S. Samo\u\i{}lenko, \emph{Eigenfunction expansion of families of commuting operators and representations of commutation relations}, Ukr. Math. Zh. \textbf{40} (1988), no.~1, 106--109, (Russian). \bibitem[OS88]{umz88} V.~L. Ostrovski\u\i{} and Yu.~S. Samo\u\i{}lenko, \emph{Application of the projection spectral theorem to noncommuting families of operators}, Ukr. Math. Zh. \textbf{40} (1988), no.~4, 469--481, (Russian). \bibitem[OS89a]{fa} \bysame, \emph{Families of unbounded selfadjoint operators, which are connected with non-{L}ie relations}, Funct. Anal. and its Appl. \textbf{23} (1989), no.~2, 67--68, (Russian). \bibitem[OS89b]{lomi} \bysame, \emph{Representations of $*$-algebras with two generators and polynomial relations}, Zap.\ Nauchn.\ Semin.\ LOMI \textbf{172} (1989), no.~%, 121 -- 129, (Russian). \bibitem[OS89c]{romp} \bysame, \emph{Unbounded operators satisfying non-{L}ie commutation relations}, Repts. math. phys. \textbf{28} (1989), no.~1, 91--103. \bibitem[OS92a]{adv} \bysame, \emph{Structure theorems for a pair of unbounded selfadjoint operators satisfying a quadratic relation}, Adv. Sov. Math. \textbf{9} (1992), 131--149. \bibitem[OS92b]{ossilv} V.~L. Ostrovski\u\i{} and S.~D. Silvestrov, \emph{Representations of the real forms of a graded analogue of the {L}ie algebra {$sl(2,\Bbb C)$}}, Ukr. Mat. Zhurn. \textbf{44} (1992), no.~11, 1518--1524, (Russian). \bibitem[OS93a]{umz93} V.~L. Ostrovski\u\i{} and Yu.~S. Samo\u\i{}lenko, \emph{On pairs of unbounded selfadjoint operators connected with albebraic relation}, Ukrain. Math. Zh. \textbf{45} (1993), no.~9, 261 -- 266, (Russian). \bibitem[OS93b]{slie} V.~L. Ostrovsky\u\i{} and Yu.~S. Samo\u\i{}lenko, \emph{On pairs of self-adjoint operators}, Seminar Sophus Lie \textbf{3} (1993), no.~2, 185--218. \bibitem[OS94]{romp2} V.~L. Ostrovsky\u\i{} and Yu.~S. Samo\u\i{}lenko, \emph{Representations of quadratic $*$-algebras by bounded and unbounded operators}, Repts. Math. Phys. \textbf{35} (1994), no.~2/3, 279--296. \bibitem[OS95a]{umz95} V.~L. Ostrovs'ky\u\i{} and Yu.~S. Samo\u\i{}lenko, \emph{On representations of the {H}eisenberg relations for the quantum {$E(2)$} group}, Ukr. Mat. Zh. \textbf{47} (1995), no.~5, 689--692. \bibitem[OS95b]{non} \bysame, \emph{Representations of $*$-algebras and dynamical systems}, Nonlinear Math. Phys. \textbf{2} (1995), no.~2, 133--150. \bibitem[OS96]{fu2} \bysame, \emph{On representations of $*$-algebras in mathematical physics}, Nonlinear Mathematical Physics \textbf{3} (1996), no.~1--2, 160--163. \bibitem[Ost]{ostr} V.~Ostrovs'ky\u\i{}, \emph{On operator relations, centered operators and non-bijective dynamical systems}, to appear. \bibitem[Ost89]{three} Ostrovski\u\i{}, \emph{Representations of a family of quadratic algebras with three generators}, Applications of methods of Functional Analysis in Mathematical Physics, Inst. Math. Acad. Sci. Ukr. SSR, Kiev, 1989, (Russian; Translated in: Selecta Math. Sov., 1993, {\bf 12}), pp.~94--103. \bibitem[Ost93]{sel} \bysame, \emph{Representations of a family of quadratic algebras with three generators}, Selecta Math. Sov. \textbf{12} (1993), no.~2, 119--127. \bibitem[OT95a]{ostur2} V.~L. Ostrovs'ky\u\i{} and L.~B. Turovskaya, \emph{On unbounded centered operators}, International Workshop on Operator theory and Applications IWOTA~95. Final Programme and Book of Abstracts, Univ. Regensburg, July 31--August 4 1995, pp.~54--55. \bibitem[OT95b]{ostur} V.~L. Ostrovsky\u\i{} and L.~B. Turovskaya, \emph{Representations of $*$-algebras and multidimensional dynamical systems}, Ukr. Mat. Zhurn. \textbf{47} (1995), no.~4, 488--497. \bibitem[BOS88]{bos} Yu.~M. Berezanski\u\i{}, V.~L. Ostrovski\u\i{}, and Yu.~S. Samo\u\i{}lenko, \emph{Eigenfunction expansion of families of commuting operators and representations of commutation relations}, Ukr. Math. Zh. \textbf{40} (1988), no.~1, 106--109, (Russian). \bibitem[OS88]{umz88} V.~L. Ostrovski\u\i{} and Yu.~S. Samo\u\i{}lenko, \emph{Application of the projection spectral theorem to noncommuting families of operators}, Ukr. Math. Zh. \textbf{40} (1988), no.~4, 469--481, (Russian). \bibitem[OS89a]{fa} \bysame, \emph{Families of unbounded selfadjoint operators, which are connected with non-{L}ie relations}, Funct. Anal. and its Appl. \textbf{23} (1989), no.~2, 67--68, (Russian). \bibitem[OS89b]{lomi} \bysame, \emph{Representations of $*$-algebras with two generators and polynomial relations}, Zap.\ Nauchn.\ Semin.\ LOMI \textbf{172} (1989), no.~%, 121 -- 129, (Russian). \bibitem[OS89c]{romp} \bysame, \emph{Unbounded operators satisfying non-{L}ie commutation relations}, Repts. math. phys. \textbf{28} (1989), no.~1, 91--103. \bibitem[OS92a]{adv} \bysame, \emph{Structure theorems for a pair of unbounded selfadjoint operators satisfying a quadratic relation}, Adv. Sov. Math. \textbf{9} (1992), 131--149. \bibitem[OS92b]{ossilv} V.~L. Ostrovski\u\i{} and S.~D. Silvestrov, \emph{Representations of the real forms of a graded analogue of the {L}ie algebra {$sl(2,\Bbb C)$}}, Ukr. Mat. Zhurn. \textbf{44} (1992), no.~11, 1518--1524, (Russian). \bibitem[OS93a]{umz93} V.~L. Ostrovski\u\i{} and Yu.~S. Samo\u\i{}lenko, \emph{On pairs of unbounded selfadjoint operators connected with albebraic relation}, Ukrain. Math. Zh. \textbf{45} (1993), no.~9, 261 -- 266, (Russian). \bibitem[OS93b]{slie} V.~L. Ostrovsky\u\i{} and Yu.~S. Samo\u\i{}lenko, \emph{On pairs of self-adjoint operators}, Seminar Sophus Lie \textbf{3} (1993), no.~2, 185--218. \bibitem[OS94]{romp2} V.~L. Ostrovsky\u\i{} and Yu.~S. Samo\u\i{}lenko, \emph{Representations of quadratic $*$-algebras by bounded and unbounded operators}, Repts. Math. Phys. \textbf{35} (1994), no.~2/3, 279--296. \bibitem[OS95a]{umz95} V.~L. Ostrovs'ky\u\i{} and Yu.~S. Samo\u\i{}lenko, \emph{On representations of the {H}eisenberg relations for the quantum {$E(2)$} group}, Ukr. Mat. Zh. \textbf{47} (1995), no.~5, 689--692. \bibitem[OS95b]{non} \bysame, \emph{Representations of $*$-algebras and dynamical systems}, Nonlinear Math. Phys. \textbf{2} (1995), no.~2, 133--150. \bibitem[OS96]{fu2} \bysame, \emph{On representations of $*$-algebras in mathematical physics}, Nonlinear Mathematical Physics \textbf{3} (1996), no.~1--2, 160--163. \bibitem[Ost89]{three} V.~L. Ostrovski\u\i{}, \emph{Representations of a family of quadratic algebras with three generators}, Applications of methods of Functional Analysis in Mathematical Physics, Inst. Math. Acad. Sci. Ukr. SSR, Kiev, 1989, (Russian; Translated in: Selecta Math. Sov., 1993, {\bf 12}), pp.~94--103. \bibitem[Ost93]{sel} \bysame, \emph{Representations of a family of quadratic algebras with three generators}, Selecta Math. Sov. \textbf{12} (1993), no.~2, 119--127. \bibitem[OT95a]{ostur2} V.~L. Ostrovs'ky\u\i{} and L.~B. Turovskaya, \emph{On unbounded centered operators}, International Workshop on Operator theory and Applications IWOTA~95. Final Programme and Book of Abstracts, Univ. Regensburg, July 31--August 4 1995, pp.~54--55. \bibitem[OT95b]{ostur} V.~L. Ostrovsky\u\i{} and L.~B. Turovskaya, \emph{Representations of $*$-algebras and multidimensional dynamical systems}, Ukr. Mat. Zhurn. \textbf{47} (1995), no.~4, 488--497. \bibitem[Ost]{ostr} V.~Ostrovs'ky\u\i{}, \emph{On operator relations, centered operators and non-bijective dynamical systems}, to appear. \bibitem[OT]{ostur2} V.~L. Ostrovs'ky\u\i{} and L.~B. Turovskaya, \emph{On unbounded centered operators}, International Workshop on Operator theory and Applications IWOTA~95. Final Programme and Book of Abstracts, Univ. Regensburg, July 31--August 4 1995, pp.~54--55.
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