Modern Analysis and Applications - The Mark Krein Centenary Conference - Volume 1: Operator Theory and Related Topics

Contents

Preface

Mark Grigorievich Krein ( on his 100th birthday anniversary)

Part 1 Plenary Talks

Modified Krein Formula and Analytic Perturbation Procedure for Scattering on Arbitrary Junction

The Schur Transformation for Nevanlinna Functions: Operator Representations, Resolvent Matrices, and Orthogonal Polynomials

M. Krein’s Research on Semi-Bounded Operators, its Contemporary Developments, and Applications

Part 2 Research Papers

Remarks on the Inverse Spectral Theory for Singularly Perturbed Operators

An Approach to a Generalization of White Noise Analysis

Some Existence Conditions for the Compact Extrema of Variational Functionals of Several

Variables in Sobolev Space

The Moment Problem for Rational Measures: Convexity in the Spirit of Krein

Almost Periodic Factorization of Some Triangular Matrix Functions

On Generalized Operator-valued Toeplitz Kernels

Abstract Interpolation Problem in Nevanlinna Classes

On the Strong Kreiss Resolvent Condition in the Hilbert Space

Anatomy of the C*-algebra Generated by Toeplitz Operators with Piece- wise Continuous Symbols

Block Tridiagonal Matrices and a Beefed-up Version of the Ehrenfest Urn Model

On the Unitarization of Linear Representations of Primitive Partially Ordered Sets

Direct and Inverse Theorems in the Theory of Approximation of Banach Space Vectors by Exponential Type Entire Vectors

Results on Convergence in Norm of Exponential Product Formulas and Pointwise of the Corresponding Integral Kernels

Generalized Selfadjoint Operators

Orthogonal Decomposition of Functions Subharmonic in the Unit Disc

Asymptotics of Toeplitz Matrices with Symbols in Some Generalized Krein Algebras

Generators of Random Processes in Ultrametric Spaces and Their Spectra

On Pseudo-Hermitian Operators with Generalized C-symmetries

Nonisospectral Flows on Self-adjoint, Unitary and Normal Semi- infinite Block Jacobi Matrices

Compact Extrema: A General Theory and Its Applications to Variational Functionals

On Extremal Problem for Algebraic Polynomials in Loading Spaces

On Coxeter Graph Related Configurations of Subspaces of a Hilbert Space

Correlation Functions of Intrinsically Stationary Random Fields

Inverse Problem for Conservative Curved Systems