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BL
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| Record Number
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603933
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| Doc. No
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b433152
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| Title & Author
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Recent advances in inverse scattering, Schur analysis and stochastic processes : : a collection of papers dedicated to Lev Sakhnovich /\ Daniel Alpay, Bernd Kirstein, editors
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| Series Statement
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Operator theory: advances and applications,; volume 244
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| Page. NO
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1 online resource :: color illustrations
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| ISBN
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3319103342
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: 3319103350
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: 9783319103341
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: 9783319103358
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9783319103341
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| Notes
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"LOLS, linear operations and linear systems"--Cover
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| Bibliographies/Indexes
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Includes bibliographical references
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| Contents
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Editorial 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
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4. 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
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5. 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
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8. 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
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| Abstract
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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
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| Subject
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Scattering (Mathematics)
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| Subject
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Schur functions
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| LC Classification
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QA329.R43 2015eb
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| Added Entry
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Alpay, Daniel
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Kirstein, Bernd,1953-
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| Added Entry
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Ohio Library and Information Network
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