Recent Advances in Inverse Scattering, Schur Analysis and Stochastic Processes: A Collection of Papers Dedicated to Lev Sakhnovich

ISBN-13: 9783319376721 / Angielski / Miękka / 2016 / 394 str.

Daniel Alpay; Bernd Kirstein

Opis

The volume is dedicated to Lev Sakhnovich, who made fundamental contributions in operator theory and related topics. Besides bibliographic material, it includesa 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."

Recenzje

"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)

Spis treści

Editorial Introduction.- Part 1: Biographical Material and List of Publications of L.A. Sakhnovich.- L.A. Sakhnovich – Biography.- List of Publications of L.A. Sakhnovich.- L.A. Sakhnovich My Teachers and Studies.- Part 2: Reserach Papers.- D. Alpay, F. Colombo and I. Sabadini: Inner Product Spaces and Krein Spaces in the Quaternionic Setting.- D. Alpay, P. Jorgensen, I. Lewkowicz and I. Martziano: Infinite Product Representations for Kernels and Iterations of Functions.- Y. Arlinski˘ı and S. Hassi: Q-functions and Boundary Triplets of Nonnegative Operators.- S. Boiko, V. Dubovoy and A. Kheifets: On Some Special Cases of the Radon–Nikodym Theorem for Vector- and Operator-valued Measures.- A.E. Frazho, S. ter Horst and M.A. Kaashoek: State Space Formulas for a Suboptimal Rational Leech Problem II: Parametrization of All Solutions.- B. Fritzsche, B. Kirstein and C. Mädler: On a Simultaneous Approach to the Even and Odd Truncated Matricial Hamburger Moment Problems.- F. Gesztesy and R. Nichols: A Jost–Pais-type Reduction of (Modified) Fredholm Determinants for Semi-separable Operators in Infinite Dimensions.- K.A. Makarov and E. Tsekanovski˘i: On the Addition and Multiplication Theorems.- J. Rovnyak and L.A. Sakhnovich: On Indefinite Cases of Operator Identities Which Arise in Interpolation Theory. II.- A. Sakhnovich and L. Sakhnovich: Nonlinear Fokker–Planck Equation: Stability, Distance and the Correspond

ing Extremal Problem in the Spatially Inhomogeneous Case.