Modern Analysis and Applications

The Mark Krein Centenary Conference Volume 1: Operator Theory and Related Topics

ISBN: 978-3-7643-9918-4 (Print) 978-3-7643-9919-1 (Online)

Table of contents (29 chapters)

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  1. Front Matter

    Pages i-x

  2. Mark Grigorievich Krein (on his 100th birthday anniversary)

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      Book Chapter

      Pages xi-xx

      Mark Grigorievich Krein (on his 100th birthday anniversary)

  3. Mark Grigorievich Krein (on his 100th birthday anniversary)

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      Book Chapter

      Pages xxi-xxii

      Mark Grigorievich Krein (on his 100th birthday anniversary)

  4. Plenary Talks

    1. Front Matter

      Pages 1-1

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      Book Chapter

      Pages 3-26

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

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      Book Chapter

      Pages 27-63

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

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      Book Chapter

      Pages 65-112

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

  5. Research Papers

    1. Front Matter

      Pages 113-113

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      Book Chapter

      Pages 115-122

      Remarks on the Inverse Spectral Theory for Singularly Perturbed Operators

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      Book Chapter

      Pages 123-139

      An Approach to a Generalization of White Noise Analysis

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      Book Chapter

      Pages 141-155

      Some Existence Conditions for the Compact Extrema of Variational Functionals of Several Variables in Sobolev Space W 2 1

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      Book Chapter

      Pages 157-169

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

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      Book Chapter

      Pages 171-190

      Almost Periodic Factorization of Some Triangular Matrix Functions

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      Book Chapter

      Pages 191-195

      On Generalized Operator-valued Toeplitz Kernels

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      Book Chapter

      Pages 197-236

      Abstract Interpolation Problem in Nevanlinna Classes

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      Book Chapter

      Pages 237-242

      On the Strong Kreiss Resolvent Condition in the Hilbert Space

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      Book Chapter

      Pages 243-265

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

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      Book Chapter

      Pages 267-277

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

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      Book Chapter

      Pages 279-294

      On The Unitarization Of Linear Representations Of Primitive Partially Ordered Sets

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      Book Chapter

      Pages 295-314

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

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      Book Chapter

      Pages 315-327

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

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      Book Chapter

      Pages 329-334

      Generalized Selfadjoint Operators

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      Book Chapter

      Pages 335-340

      Orthogonal Decomposition of Functions Subharmonic in the Unit Disc

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