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000745460 049__ $$aISEA
000745460 050_4 $$aQA329$$b.R43 2015eb
000745460 08204 $$a515/.7246$$223
000745460 24500 $$aRecent advances in inverse scattering, Schur analysis and stochastic processes$$h[electronic resource] :$$ba collection of papers dedicated to Lev Sakhnovich /$$cDaniel Alpay, Bernd Kirstein, editors.
000745460 264_1 $$aCham :$$bBirkhauser,$$c[2015]
000745460 300__ $$a1 online resource :$$bcolor illustrations
000745460 336__ $$atext$$btxt$$2rdacontent
000745460 337__ $$acomputer$$bc$$2rdamedia
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000745460 4901_ $$aOperator theory: advances and applications,$$x2296-4878 ;$$vvolume 244
000745460 500__ $$a"LOLS, linear operations and linear systems"--Cover.
000745460 504__ $$aIncludes bibliographical references.
000745460 5050_ $$aEditorial Introduction; References; Part 1 Biographical Material and List of Publications of L.A. Sakhnovich; L.A. Sakhnovich -- Biography; List of Publications of L.A. Sakhnovich; Surveys; Papers and other publications; My Teachers and Studies; Part 2 Reserach Papers; Inner Product Spaces and Krein Spaces in the Quaternionic Setting; 1. Introduction; 2. Quaternionic topological vector spaces; 3. Principles of quaternionic functional analysis; 4. Ortho-complemented spaces; 5. Fundamental decompositions; 6. Partial majorants; 7. Majorant topologies and inner product spaces
000745460 5058_ $$a8. The spectral theorem and decomposability9. Quaternionic Krein spaces; Acknowlegment; References; Infinite Product Representations for Kernels and Iterations of Functions; 1. Introduction; 1.1 Representations; 1.2 Kernels; 1.3 Local analysis; 2. Preliminaries on reproducing kernel Hilbert spaces; 2.1. Generalities; 2.2. L spaces; 3. A general setting; 3.1. A representation of the Cuntz algebra ON; 4. Harmonic analysis of kernels from Blaschke products and Bergmann space; 4.1. H(b) spaces; 4.2. The Bergmann space; 4.3. Functions with real positive part
000745460 5058_ $$a5. Harmonic analysis of representations6. An orthogonal basis; 7. Example: A Julia set; References; Q-functions and Boundary Triplets of Nonnegative Operators; 1. Introduction; 2. Basic Preliminaries; 2.1. Closed nonnegative forms and nonnegative selfadjoint relations; 2.2. Kreĭn shorted operators; 2.3. Selfadjoint contractive extensions of a nondensely defined Hermitian contraction; 2.4. Nonnegative linear relations and their nonnegative selfadjoint extensions; 3. Special pairs of nonnegative selfadjoint linear relations and corresponding pairs of selfadjoint contractions
000745460 5058_ $$a4. Special pairs of selfadjoint extensions4.1. Construction of special pairs of nonnegative selfadjoint contractions; 4.2. Construction of special pairs of selfadjoint contractions and selfadjoint contractive extensions; 4.3. Construction of special pairs of nonnegative selfadjoint operators and nonnegative selfadjoint extensions; 5. Q-functions of Hermitian contraction corresponding to the special pairs of selfadjoint contractive extensions; 6. Q-functions of a nonnegative symmetric operator corresponding to the special pairs of nonnegative selfadjoint extensions
000745460 506__ $$aAccess limited to authorized users.
000745460 520__ $$aThe volume is dedicated to Lev Sakhnovich, who made fundamental contributions in operator theory and related topics. Besides bibliographic material, it includes a number of selected papers related to Lev Sakhnovich's research interests. The papers are related to operator identities, moment problems, random matrices and linear stochastic systems.
000745460 588__ $$aOnline resource; title from PDF title page (viewed May 5, 2015).
000745460 650_0 $$aScattering (Mathematics)
000745460 650_0 $$aSchur functions.
000745460 7001_ $$aAlpay, Daniel,$$eeditor.
000745460 7001_ $$aKirstein, Bernd,$$d1953-$$eeditor.
000745460 77608 $$iPrint version:$$z9783319103341
000745460 830_0 $$aOperator theory, advances and applications ;$$vv. 244.
000745460 85280 $$bebk$$hSpringerLink
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