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Recent Advances in Inverse Scattering, Schur Analysis and Stochastic Processes

A Collection of Papers Dedicated to Lev Sakhnovich

  • Book
  • © 2015

Overview

Editors:
  1. Daniel Alpay

    1. Department of Mathematics, Ben-Gurion University of the Negev, Beer Sheva, Israel

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    You can also search for this editor in PubMed   Google Scholar

  2. Bernd Kirstein

    1. Mathematisches Institut, Universität Leipzig, Leipzig, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Presents unique material on Lev Sakhnovich
  • Includes state of the art papers on operator theory and stochastic processes?

Part of the book series: Operator Theory: Advances and Applications (OT, volume 244)

Part of the book sub series: Linear Operators and Linear Systems (LOLS)

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-ix
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  2. Biographical Material and List of Publications of L.A. Sakhnovich

    1. Front Matter

      Pages 1-1
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    2. L.A. Sakhnovich – Biography

      • Daniel Alpay, Bernd Kirstein
      Pages 3-8

    3. List of Publications of L.A. Sakhnovich

      • Daniel Alpay, Bernd Kirstein
      Pages 9-22

    4. My Teachers and Studies

      • Daniel Alpay, Bernd Kirstein, L. A. Sakhnovich
      Pages 23-30

  3. Reserach Papers

    1. Front Matter

      Pages 31-31
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    2. Inner Product Spaces and Krein Spaces in the Quaternionic Setting

      • Daniel Alpay, Fabrizio Colombo, Irene Sabadini
      Pages 33-65

    3. Infinite Product Representations for Kernels and Iterations of Functions

      • Daniel Alpay, Palle Jorgensen, Izchak Lewkowicz, Itzik Martziano
      Pages 67-87

    4. Q-functions and Boundary Triplets of Nonnegative Operators

      • Yuri M. Arlinskĭ, Seppo Hassi
      Pages 89-130

    5. On Some Special Cases of the Radon–Nikodym Theorem for Vector- and Operator-valued Measures

      • S. Boiko, V. Dubovoy, A. Kheifets
      Pages 131-147

    6. State Space Formulas for a Suboptimal Rational Leech Problem II: Parametrization of All Solutions

      • A. E. Frazho, S. ter Horst, M. A. Kaashoek
      Pages 149-179

    7. On a Simultaneous Approach to the Even and Odd Truncated Matricial Hamburger Moment Problems

      • Bernd Fritzsche, Bernd Kirstein, Conrad Mädler
      Pages 181-285

    8. A Jost–Pais-type Reduction of (Modified) Fredholm Determinants for Semi-separable Operators in Infinite Dimensions

      • Fritz Gesztesy, Roger Nichols
      Pages 287-314

    9. On the Addition and Multiplication Theorems

      • K. A. Makarov, E. Tsekanovskiĭ
      Pages 315-339

    10. On Indefinite Cases of Operator Identities Which Arise in Interpolation Theory. II

      • J. Rovnyak, L. A. Sakhnovich
      Pages 341-378

    11. Nonlinear Fokker–Planck Equation: Stability, Distance and the Corresponding Extremal Problem in the Spatially Inhomogeneous Case

      • Alexander Sakhnovich, Lev Sakhnovich
      Pages 379-394
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Keywords

About this book

The volume is dedicated to Lev Sakhnovich, who made fundamental contributions in operator theory and related topics. Besides bibliographic material, it includes a number of selected papers related to Lev Sakhnovich's research interests. The papers are related to operator identities, moment problems, random matrices and linear stochastic systems.

Reviews

“Lev Aronovich Saknovich was born on February 24, 1932 in Lugansk, Ukraine. … This book is compiled on the occasion of his 80th birthday. It starts with a short biography and a list of his publications. … a collection of research papers that will be of interest to the mathematcians and engineers … .” (Adhemar Bultheel, euro-math-soc.eu, July, 2015)

Editors and Affiliations

  • Department of Mathematics, Ben-Gurion University of the Negev, Beer Sheva, Israel

    Daniel Alpay

  • Mathematisches Institut, Universität Leipzig, Leipzig, Germany

    Bernd Kirstein

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