Kyiv, August 22-26, 2001

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** SCIENTIFIC PROGRAM**

Last updated Aug 20, 2001, at 19:50

**SECTION 1**

**August 22.08, Wednesday**

**10:00-10:30**- P. Sobolevsky (Israel). The theorem on mixed derivatives and the estimate of convergence rate of Galerkin's method for parabolic equation (the third initial boundary value problem).
**10:35-11:05**- H. Neidhardt(Germany), T. Ichinose (Japan), V. Zagrebnov (France). Operator norm convergence of Trotter-Kato product formula.
**11:10-11:40**- A. Plichko (Ukraine). Complemented subspaces in nonseparable Banach spaces

**12:00-12:30**- V. Mikhailov (Russia). On existence of boundary values of the solutions of elliptic equations on the boundary of a domain.
**12:35-13:05**- J. Kisynski (Poland). Distribution semigroups and one parameter semigroups.

**15:00-15:30**- Yu. Arlinsky (Ukraine). On non-negative selfadjoint extensions.
**15:35-16:05**- M. Gorbachuk (Ukraine). On completeness of the set of root vectors of a closed operator with meromorphic resolvent.
**16:15-16:45**- V. Gorbachuk (Ukraine). On weak solutions of operator differential equations.
**16:50-17:20**- A. Kochubei (Ukraine). Differential equations with Carlitz derivatives.
**17:25-17:55**- B. Ptashnik (Ukraine). Multipoint problem for partial differential equations.
**18:00-18:30**- M. Mukhamedov (Uzbekistan). Mutiparameter ()-semigroups of operators.

**August 23.08, Thursday**

**10:00-10:30**- G. Gubreev (Ukraine). Spectral theory of regular quasiexponentials.
**10:35-11:05**- F. Rofe-Beketov, A. Kholkin (Ukraine). Oscillation theory of differential-operator equations.
**11:10-11:40**- D. Arov, M. Nudelman (Ukraine). Criteria of similarity of all minimal dissipative realizations of a given operator of Shur and Caratheodory classes.

**12:00-12:30**- S. Kuzhel (Ukraine). On inverse problem in the Lax-Phillips scattering scheme
**12:35-13:05**- M. Malamud (Ukraine). Self-adjointness of Hamiltonian systems and elliptic operators.

**15:00-15:30**- Yu. Orochko (Russia) Points of degeneration of ordinary symmetric differential operator as penetrable or impenetrable interfaces.
**15:35-16:05**- T. Zelenyak (Russia). On differential properties of generalized solutions of some boundary problems.

River Cruise

**August 24.08, Friday**

**10:00-10:30**- A. Piven, A. Rutkas (Ukraine). Correctness of the Cauchy problem for degenerate equation of high order.
**10:35-11:05**- Ya. Grushka (Ukraine). Description of the intermediate spaces generated by a semigroup of operators, in terms of functional calculus for its generator
**11:10-11:40**- Yu. Mokrousov (Ukraine). On the density of certain subspaces of analytic vectors of a sectorial operator on a Banach space.

**12:00-12:30**- V. M. Gorbachuk (Ukraine). Evolutionary completeness criterion for the set of root vectors of a compact operator.
**12:35-13:05**- B. Peleshenko (Ukraine). Interpolation of quasilinear operators of weak type in the quasinormed spaces.

**15:00-15:30**- M. Jabbarzadeh (Iran). Some results on weighted composition operators on spaces.
**15:35-16:05**- D. Kalyuzhnyi-Verbovetsky (Ukraine). On realization of holomorphic operator functions of severa variables by means of -conservative scattering systems.
**16:15-16:45**- M. Gorodnii (Ukraine). On the -solutions of a difference equation with the unbounded operator.
**16:50-17:20**- A. Zagorodnyuk (Ukraine). Subspaces of analytic funvtions on Banach spaces.
**17:25-17:55**- S. Akhiev, K. Orucoglu (Turkey). Some linear operator equations and their fundamental solutions.
**18:00-18:30**- O. Lopushansky, S. Sharyn (Ukraine). Functional calculus in cone .

**August 25.08, Saturday**

**10:00-10:30**- N. Tita (Romania). Properties of some bilinear operators on approximation spaces.
**10:35-11:05**- I. Orlov (Ukraine). Projective indeces and dual scales of the spaces.
**11:10-11:40**- V. Lozynska (Ukraine). Functional calculus of generators of ()-groups in algebras of distributions of exponential type.

**12:00-12:30**- S. Saprikin (Ukraine). Optimal and -optimal linear dissipative systems with Pontryagin state space.
**12:35-13:05**- Ya. Vasylkiv (Ukraine). Asymptotic behaviour of subharmonic functions of completely regular growth and their conjugates.

**15:00-15:30**- M. Potapov (Russia). On application of generalized shift operators in approximation theory
**15:3516:05**- M. Dmytryshyn (Ukraine). Interpolation of spaces generated by exponential type vectors.
**16:15-16:45**- Z. Arova (Ukraine). On operator nodes with strongly regular -inner characteristic matrix functions.
**16:50-17:20**- K. Kudaibergenov, I. Ganiev (Uzbekistan). Measurable bundles of compact operators.
**17:25-17:55**- A. Kholkin (Ukraine). Fundamental solution of a operator-differential equation with singular boundary condition.
**18:00-18:30**- R. Turgunbayev (Uzbekistan) Triple norm systems over the field of -adic numbers

**Augugst 26.08, Sunday**

**10:00-10:30**- G. Poletaev (Ukraine). Monomial single-projector equations of the second order with factorable coefficients.
**10:35-11:05**- E. Tokarev (Ukraine). Structural theory of Banach spaces.
**11:10-11:40**- A. Baskakov, K. Chenyshev (Russia). Linear equation in a Banach space with a irreversible operator at the derivative

**12:00-12:30**- A. Tarasenko (Mexico). On operator-function with the derivative fron the class of Hardy.
**12:35-13:00**- S. Musabekov (Uzbekistan). On example of the spaces with ordinal unity.

**15:00-15:30**- R. Grabovska, H. V. Krapiva (Ukraine). Some not solvable under highest derivative singular operator-differential equations of -th order.
**15:35-16:05**- M. Volkova (Ukraine). Unconditional bases generates by Muchenhaupt weights and their applications.
**16:15-16:45**- S. Hassi (Finland). A model for -functions.
**16:50-17:20**- E. I. Olefir (Ukraine). Unconditional bases of family of vactor exponentials.
**17:25-17:55**- L. Gevorgyan (Armenia). The full spectral theory of class of operators.
**18:00-18:30**- L. Vlasenko (Ukraine). On properties of solutions to degenerate neutral functional differential equations in Banach spaces.

**SECTION 2**

**August 22.08, Wednesday**

**10:00-10:30**- Z. Sheftel (Germany). Problems with a shift for elliptic equations and systems.
**10:35-11:05**- J. Brasche (Sweden). On scattering and spectral theory for Schrödinger operators with potentials supported by sets with capacity zero.
**11:10-11:40**- H. de Snoo (Nederland). Spectral functions of Sturm-Liouville operators.

**12:00-12:30**- I. Kalynyak (Ukraine). Isospectral operators generated by non-local elliptic problems
**12:35-13:05**- R. Hryniv (Ukraine). Shrödinger operators with singular potentials.

**15:00-15:30**- V. Marchenko (Ukraine). General solution of Korteveg-de-Vries equation.
**15:35-16:05**- L. Niznik (Ukraine). Inverse scattering problem for hyperbolic equations and its applications.
**16:15-16:45**- V. Mikhailets (Ukraine). Self-adjointness problem for one-dimensional Shrödinger operator with singular potential.
**16:50-17:20**- V. Derkach (Ukraine). On indefinite generalized interpolation.
**17:25-17:55**- V. Belonosov (Russia). Estimations of solutions of general boundary problems for quasi-elliptic equations.
**18:00-18:30**- E. Buryachenko (Ukraine). The characteristic billiard for the fourth order differential equations and solution uniqueness of some boundary value problem.

**August 23.08, Thursday**

**10:00-10:30**- Yu. Berezansky (Ukraine). Spectral representations of positive definite kernels.
**10:35-11:05**- M. Matiychuk (Ukraine). Boundary value problems for a class of degenerate parabolic operators
**11:10-11:40**- E. Khruslov (Ukraine). Homogenized non-Newtonian viscoellastic rheology of suspention of interacting particles in a viscous Newtonian fluid.

**12:00-12:30**- N. Kopachevsky (Ukraine), Yu. Pashkova (Ukraine), R. Mennicken (Germany). Complete second order linear differential equations in Hilbert space and its hydrodynamical applications.
**12:35-13:05**- R. Mennicken (Germany). Spectral Problems for 2x2-Operator Matrices and Applications.

**15:00-15:30**- Yu. Karlovich (Mexico). Pseudodifferential operators with slowly oscillation data and their applications.
**15:35-16:05**- T. Cheremnikh (Ukraine). Fridrichs' moel and Titchmarsh-Weyl's function.

River Cruise

**August 24.08, Friday**

**10:00-10:30**- F. Rofe-Beketov (Ukraine). Perturbations of the spectrum of almost periodic one-dimensional Srödinger operator.
**10:35-11:05**- I. Egorova (Ukraine). Spectral analysis for asymptotically periodic Jacobi matrix.
**11:10-11:40**- Yu. Tverdokhleb (Ukraine). On almost periodic difference operators.

**12:00-12:30**- M. Bayramoglu (Turkey), H. Sahinturk (Turkey). Regularized trace formula for the Sturm-Liouville equation with operator coefficient contained spectral parameter in the boundary condition.
**12:35-13:05**- A. Orujov (Turkey). On a spectrum of a class of second order differential operators family with almost periodic coefficients.

**15:00-15:30**- N. Iskenderov (Azerbaijan). Scattering data for a hyperbolic system of first-order differential equations on semi-axis.
**15:35-16:05**- V. Tarasov (Ukraine). Multidimentoinal inverse scattering problems for the integro-differential equations.
**16:15-16:45**- O. Tarasova (Ukraine). The inverse scattering problem for the wave equations.
**16:50-17:20**- A. Ibragimov (Uzbekistan). Inverse problem for Dirac operator with periodic potential on semi-axis.
**17:25-17:55**- A. Nematov (Uzbekistan). Inverse problem of scattering theory for Sturm-Liouville operator in a class of potentials, which have different finite-gap behaviours if
**18:00-18:30**- K. Orucoglu (Turkey), S. Akhiev (Azerbaijan). The fundamental solution of a hyperbolic equation with a singular parameter.

**August 25.08, Saturday**

**10:00-10:30**- V. Los (Ukraine). Elliptic Sobolev problem for systems of the Douglas-Nirenberg structure.
**10:35-11:05**- A. Zavorotinskyi (Ukraine). Parameter-Elliptic Problems of Transmission in Complete Scales of Spaces of Distributions of Sobolev Type.
**11:10-11:40**- O. Komarenko (Ukraine). Spectral sheory for transmission problems.

**12:00-12:30**- I. Nizhnik (Ukraine). Bounded stationary solutions of a fourth order nonlinear parabolic equation.
**12:35-13:05**- M. Denche (Algeria). Abstract Elliptic Differential Equation with a Spectral Parameter in the Boundary Conditions.

**15:00-15:30**- V. Tyurin (Russia). On the spectrums of some class of linear differential operator in Hölder spaces.
**15:35-16:05**- I. Popov (Russia). Spectral asymptotics for waveguides and layers coupled through small apertures.
**16:15-16:45**- Ya. Baranetskyi, P. Kalenyuk (Ukraine). Isospectral operators generated by nonlocal elliptic problems.
**16:50-17:20**- V. Erovenko (Belarus). On the essential spectrum of Banach-space operator.
**17:25-17:55**- M. Dzhenaliev, M. Ramazanov (Uzbekistan). About solvability of the Cauchy problem for loaded nonlinear differential operator equation.

**Augugst 26.08, Sunday**

**10:00-10:30**- A. Karlovich (Portugal). Invertibility of Functional Operators with Slowly Oscillating nn-Carleman Shifts.
**10:35-11:05**- A. Rutkas (Ukraine), T. Yatsenko (Ukraine). Certain type solution of initial boundary value problem for viscous-elactic fluid.
**11:10-11:40**- S. Dashkovski (Germany). Optimal regularity for the solutions of a semi-linear hypoelliptic equations.

**12:00-12:30**- Yu. Golovaty (Ukraine). On low and high frequency vibrations in stiff eigenvalue problems.
**12:35-13:05**- M. M. Dzhenalieva (Kazakhstan). About Boundary Value Problems for Parabolic Equations with Mean-Values.

**15:00-15:30**- M. Bricchi (Germany). Besov spaces on fractals.
**15:35-16:05**- A. Brusentsev (Russia). About self-ajointness in essential of Schrödinger non semi-bounded operator with strongly singular potential.
**16:15-16:45**- V. Il'ina (Ukraine). On semilinear boundary value problems on graphs.
**16:50-17:20**- O. Chernobai (Ukraine). On integral representation of positive definite Toepitz kernels.
**17:25-17:55**- O. Myl'o, O. Storozh (Ukraine). On semi-smooth perturbations of a Sturm-Liouville type operatoron the semi-axis
**18:00-18:30**- Y. Saidov (Uzbekistan). Integral representation of harmonic functions

**SECTION 3**

**August 22.08, Wednesday**

**10:00-10:30**- R. Grigorchuk (Russia) Self-similarity and spectral problem in theory of discrete Laplace operator
**10:35-11:05**- V. Sushchansky (Ukraine) Diagonal limit of symmetric groups and their representations
**11:10-11:40**- V. Nekrashevich (Ukraine) Cuntz-Pimsner algebras associated to group actions

**12:00-12:30**- N. Tretyakova (Belarus) Passages to limit in the group representation theory
**12:35-13:00**- V. Zolotarev (Ukraine) The functional model of a bounded operator

**15:00-15:30**- Yu. Samoilenko (Ukraine) On families of projections and idempotents
**15:35-16:05**- P. Dudnikov (Ukraine) The spectral theory of
idempotent operators
**16:15-16:45**- N. Vasilevsky (Mexico) On the structure of Toeplitz operator algebras
**16:50-17:20**- V. Ostrovskyi (Ukraine) On centered one-parameter semigroups and representations of double commutator
**17:25-17:55**- A. Kalyuzhnyi (Ukraine) Conditional expectations on quantum groups and new examples of quantum hypergroups

**August 23.08, Thursday**

**10:00-10:30**- A. Klimyk (Ukraine) Classification of finite dimensional irreducible representations of the -algebra
**10:35-11:05**- N. Iorgov (Ukraine) Tensor operators and Wigner-Eckart theorem for quantum algebra
**11:10-11:40**- L. Turowska (Sweden) On the complexity of description of -algebras representations by unbounded operators

**12:00-12:30**- A. Kirillov (USA) Quantum eigenvlues, quantum multiplicities and quantum Caley identity
**12:35-13:05**- W. Connett (USA) The geometry of the support of the orthogonality measure for certain families of polynomials in two real variables

**15:00-15:30**- R. Hudson (Great Britain) On near representations of the canonical commutation relations
**15:35-16:05**- V. Belavkin (Great Britain) Quantum probability: Representations of Ito algebras and classification of non-classical differential calculi

River Cruise

**August 24.08, Friday**

**10:00-10:30**- V. Golodets (Ukraine) The spectral properties of completely positive entropy actions of countable amenable groups
**10:35-11:05**- S. Gefter (Ukraine) On formal power series in Banach algebras
**11:10-11:40**- B. Rubshtein (Israel) M. Muratov, Yu. Pashkova (Ukraine) Some properties of positive contractions in symmetric spaces.

**12:00-12:30**- A. Kosyak (Ukraine), R. Zekri (France) Regular representations of infinite-dimensional group and factors
**12:35-13:05**- N. Nessonov (Ukraine) Classification of KMS-states on

**15:00-15:30**- Zakirov (Uzbekistan) Lorentz spaces associated with a measure with values in a ring of measurable functions
**15:35-16:05**- F. Mukhamedov (Uzbekistan) On individual Dunford-Schwartz theorem on von Neumann algebras
**16:15-16:45**- Sh. Ayupov (Uzbekistan) Description of real von Neumann algebras with abelian skew-Hermitian part.
**16:50-17:20**- Sh. Ayupov, A. Rakhimov, A. Abduvaitov (Uzbekistan) Real -algebras with abelian Hermitian part.
**17:25-17:55**- I. Ganiev, V. Chilin (Uzbekistan) Measurable bundles of noncommutative -spaces.

**August 25.08, Saturday**

**10:00-10:30**- Yu. Karlovich (Mexico) Convolution type operators with oscillating symbols
**10:35-11:05**- V. Kisil (Great Britain) Spectrum of operator: invading in the third dimension
**11:10-11:40**- N. Vasilevsky (Mexico) Commutative algebras of Toeplitz operators and hyperbolic geometry

**12:00-12:30**- V. Strauss (Venezuela) On differential operators with a singular potential
**12:35-13:05**- S. Khoroshkin (Germany) Integral presentation of the Universal -matrices

**15:00-15:30**- V. Lozynska (Ukraine) On a convolution algebra of analytic functionals of exponential type
**15:35-16:05**- G. Poletaev (Ukraine) Pair equations with correct factorizable coefficients in rings with factorization pairs
**16:15-16:45**- O. Karabyn (Ukraine) On spectrum of hyperfinite dimension operator
**16:50-17:20**- A. Sukhotin (Russia) About alone false premise

**Augugst 26.08, Sunday** To be announced

**SECTION 4**

**August 22.08, Wednesday**

**10:00-10:30**- C. Cattani (Italy) Spline wavelet approximation of differential operators
**10:35-11:05**- V. Zagrebnov (France) Ultimate optimal error bound for a self-adjoint Trotter product formula
**11:10-11:40**- A. Chebotarev (Russia) What is quantum stochastic differential equation from the point of view of functional analysis?

**12:00-12:30**- Yu. Kondratiev (Ukraine/Geramny) New analytic methods in mathematical physics of continuous systems
**12:35-13:05**- A. Rebenko (Ukraine) Cluster Expansions on The Configuration Space

**15:00-15:30**- V. Koshmanenko (Ukraine) On negative eigenvalues under singular perturbations
**15:35-16:05**- L. Pastur (Ukraine) Absolutely continuous spectrum and scattering in the surface Maryland model
**16:15-16:45**- O. Storozh, O. Shuvar (Ukraine) On some spectral properties of differential-boundary operators in vector-function spaces
**16:50-17:20**- V. Bursky, T. Shtepina (Ukraine) Onn the spectrum of operator of equivariant boundary problem for the Poisson equation in a ball
**17:25-17:55**- A. Rutkas (Ukraine) Spectral methods of investiagation of degenerated equations

**August 23.08, Thursday**

**10:00-10:30**- J. Bruening (Germany), V. Geyler (Russia) Geometric scattering on Riemannian manifolds
**10:35-11:05**- A. Daletsky (Great Britain) On stochastic cohomology of Poisson configuration spaces
**11:10-11:40**- P. Kurasov (Sweden) Method of supersingular perturbations for few-body Schrödinger operators

**12:00-12:30**- M. Feller (Ukraine) Non-linear parabolic equations with the Levy Laplacian
**12:35-13:05**- V. Vigak, A. Rychagivskyi (Ukraine). Necessary conditions for correctness of solutions of two-dimensional and three-dimensional elasticity problems

**15:00-15:30**- Yu. Mishura (Ukraine) Atomic decompositions and inequalities of Burkholder-Davis-Gundy type for vector-valued martingales
**15:35-16:05**- O.Lopushansky, A. Zagorodnyuk (Ukraine) Spectral theorem for Hardy type space of analytic functions on the Hilbert ball

River Cruise

**August 24.08, Friday**

**10:00-10:30**- E. Lytvynov (Germany) Scaling limit of stochastic dynamics in classical continuous systems
**10:35-11:05**- M. Oliveira (Germany) Poissonian white noise analysis and harmonic analysis on configuration spaces
**11:10-11:40**- T. Pasurek (Germany) Euclidean Gibbs states of quantum crystals

**12:00-12:30**- D. Finkelshtein (Ukraine) Gauss-Ostrogradsky formula on configuration spaces
**12:35-13:05**- D. Mierzejewski (Ukraine) The structure of the extended Fock space and its application to some constructions of gamma analysis

**15:00-15:30**- D. Ivanovic, V. Saljnikov, U. Karadic (Yugoslavia) On equation of MHD unsteady boundary layer on porous contour in parametric approximation
**15:35-16:05**- A. Pankov (Ukraine) On nonlinear Schroedinger equations with a steep potential well
**16:15-16:45**- I.-P. Syroid (Ukraine) Solving problematic problems for non self-adjoint operators
**16:50-17:20**- I.-P. Syroid, O. Myaus (Ukraine) Schroedinger-analysis problems over soliton manifolds
**17:25-17:55**- V. Revenko (Ukraine). Explicit solution of the Gelfand-Levitan-Marchenko equation and certain integral relations

**August 25.08, Saturday**

**10:00-10:30**- T. Azizov (Russia) On the boundedness of Hamiltonians
**10:35-11:05**- Z. Dudek (Poland) Isotonic Banach functionals and risk evaluation
**11:10-11:40**- N. Dudkin (Ukraine) Singularly perturbed normal opeartors

**12:00-12:30**- S. Pehlivan (Turkey) On weak statistical convergence
**12:35-13:05**- V. Romanov (Ukraine) Cauchy problem for vector measures with different types of continuity of initial condition

**15:00-15:30**- M. Amangalieva (Kazakhstan) About boundary value problems for parabolic equations with mean-values
**15:35-16:05**- V. Gordevsky (Ukraine) Approximate bimodal solutions of the Boltzmann equation
**16:15-16:45**- A. Khasanov, G. Urazbaev (Uzbekistan) Integration method of the Korteweg-de Vries equation with a self-consistent source from steplike initual data, by inverse scattering method
**16:50-17:20**- V. Khatskevitch (Russia) Attractor of the problem of nonlinear-viscous fluid motion
**17:25-17:55**- A. Skubachevskii, R. Shamin (Russia) Parabolic differential-difference equations

**Augugst 26.08, Sunday**

**10:00-10:30**- A. Konstantinov (Ukraine) On the Friedrichs extension of block operator matrices
**10:35-11:05**- O. Kutovyi (Ukraine) On the essential spectrum of block operator matrices
**11:10-11:40**- Yu. Grinyk (Ukraine) On the essential spectrum of a boundary value problem

**12:00-12:30**- A. Kalitvin (Russia) Romanovskij type equations with partial integrals
**12:35-13:05**- E. Frolova, A. Kalitvin (Russia) Volterra integral equations with partial integrals on the unbounded domain

**15:00-15:30**- I. Nurov (Tajikistan) The method of impulse-frequency characteristics in the construction bifurcation solution of nonlinear systems
**15:35-16:05**- M. Yahshinboev (Uzbekistan) Asymptotic solution of multidimensional integral equation of first genus
**16:15-16:45**- M. Glaskova (Russia) A criteria of the closedness of a linear pencil