Recent Advances in Inverse Scattering, Schur Analysis and Stochastic Processes

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

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.

• Schur analysis
• linear stochastic systems
• moment problems
• operator identities
• random matrices

“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)

• 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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