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

This is the first of two volumes containing peer-reviewed research and survey papers based on invited talks at the International Conference on Modern Analysis and Applications. The conference, which was dedicated to the 100th anniversary of the birth of Mark Krein, one of the greatest mathematicians of the 20th century, was held in Odessa, Ukraine, on April 9-14, 2007. The papers describe the contemporary development of subjects influenced by Krein, such as the theory of operators in Hilbert and Krein spaces, differential operators, applications of functional analysis in function theory, theory of networks and systems, mathematical physics and mechanics.

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This is the first of two volumes containing peer-reviewed research and survey papers based on invited talks at the International Conference on Modern Analysis and Applications. The conference, which was dedicated to the 100th anniversary of the birth of Mark Krein, one of the greatest mathematicians of the 20th century, was held in Odessa, Ukraine, on April 9-14, 2007. The papers describe the contemporary development of subjects influenced by Krein, such as the theory of operators in Hilbert and Krein spaces, differential operators, applications of functional analysis in function theory, theory of networks and systems, mathematical physics and mechanics.

Content:
Front Matter....Pages i-x
Mark Grigorievich Krein (on his 100th birthday anniversary)....Pages xi-xx
Mark Grigorievich Krein (on his 100th birthday anniversary)....Pages xxi-xxii
Front Matter....Pages 1-1
Modified Krein Formula and Analytic Perturbation Procedure for Scattering on Arbitrary Junction....Pages 3-26
The Schur Transformation for Nevanlinna Functions: Operator Representations, Resolvent Matrices, and Orthogonal Polynomials....Pages 27-63
M. Kre?n’s Research on Semi-Bounded Operators, its Contemporary Developments, and Applications....Pages 65-112
Front Matter....Pages 113-113
Remarks on the Inverse Spectral Theory for Singularly Perturbed Operators....Pages 115-122
An Approach to a Generalization of White Noise Analysis....Pages 123-139
The Moment Problem for Rational Measures: Convexity in the Spirit of Krein....Pages 141-155
Almost Periodic Factorization of Some Triangular Matrix Functions....Pages 157-169
On Generalized Operator-valued Toeplitz Kernels....Pages 171-190
Abstract Interpolation Problem in Nevanlinna Classes....Pages 191-195
On the Strong Kreiss Resolvent Condition in the Hilbert Space....Pages 197-236
Anatomy of the C*-algebra Generated by Toeplitz Operators with Piece-wise Continuous Symbols....Pages 237-242
Block Tridiagonal Matrices and a Beefed-up Version of the Ehrenfest Urn Model....Pages 243-265
On The Unitarization Of Linear Representations Of Primitive Partially Ordered Sets....Pages 267-277
Direct and Inverse Theorems in the Theory of Approximation of Banach Space Vectors by Exponential Type Entire Vectors....Pages 279-294
Results on Convergence in Norm of Exponential Product Formulas and Pointwise of the Corresponding Integral Kernels....Pages 295-314
Generalized Selfadjoint Operators....Pages 315-327
Orthogonal Decomposition of Functions Subharmonic in the Unit Disc....Pages 329-334
Front Matter....Pages 335-340
Asymptotics of Toeplitz Matrices with Symbols in Some Generalized Krein Algebras....Pages 113-113
Generators of Random Processes in Ultrametric Spaces and Their Spectra....Pages 341-359
On Pseudo-Hermitian Operators with Generalized C-symmetries....Pages 361-373
Nonisospectral Flows on Self-adjoint, Unitary and Normal Semi-infinite Block Jacobi Matrices....Pages 375-385
Compact Extrema: A General Theory and Its Applications to Variational Functionals....Pages 387-395
On Extremal Problem for Algebraic Polynomials in Loading Spaces....Pages 397-417
On Coxeter Graph Related Configurations of Subspaces of a Hilbert Space....Pages 419-428
Correlation Functions of Intrinsically Stationary Random Fields....Pages 429-450
Inverse Problem for Conservative Curved Systems....Pages 451-470
....Pages 471-490