Operator Theory
Edited by Daniel Alpay ()
in Springer Books from Springer
Date: 2015
Edition: 2015
ISBN: 978-3-0348-0667-1
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Chapters in this book:
- Ch 1 The Reproducing Kernel Property and Its Space: The Basics
- Franciszek Hugon Szafraniec
- Ch 2 The Reproducing Kernel Property and Its Space: More or Less Standard Examples of Applications
- Franciszek Hugon Szafraniec
- Ch 3 The Use of Kernel Functions in Solving the Pick Interpolation Problem
- Jim Agler and John E. McCarthy
- Ch 4 Bergman Kernel in Complex Analysis
- Łukasz Kosiński and Włodzimierz Zwonek
- Ch 5 Sampling Theory and Reproducing Kernel Hilbert Spaces
- Antonio G. García
- Ch 6 Reproducing Kernels in Coherent States, Wavelets, and Quantization
- Syed Twareque Ali
- Ch 7 Geometric Perspectives on Reproducing Kernels
- Daniel Beltiţǎ and José E. Galé
- Ch 8 Multi-valued Operators/Linear Relations Between Kreĭn Spaces
- HendrikLuit Wietsma
- Ch 9 Symmetric and Isometric Relations
- Hendrik Luit Wietsma
- Ch 10 Boundary Triplets, Weyl Functions, and the Kreĭn Formula
- Vladimir Derkach
- Ch 11 Contractions and the Commutant Lifting Theorem in Kreĭn Spaces
- Michael Dritschel
- Ch 12 Locally Definitizable Operators: The Local Structure of the Spectrum
- Carsten Trunk
- Ch 13 Schur Analysis in an Indefinite Setting
- Aad Dijksma
- Ch 14 Reproducing Kernel Kreĭn Spaces
- Aurelian Gheondea
- Ch 15 Generalized Nevanlinna Functions: Operator Representations, Asymptotic Behavior
- Annemarie Luger
- Ch 16 Indefinite Hamiltonians
- Michael Kaltenbäck
- Ch 17 The Critical Point Infinity Associated with Indefinite Sturm–Liouville Problems
- Andreas Fleige
- Ch 18 Finite-Dimensional Indefinite Inner Product Spaces and Applications in Numerical Analysis
- Christian Mehl
- Ch 19 The Algebraic Riccati Equation and Its Role in Indefinite Inner Product Spaces
- André C. M. Ran
- Ch 20 Hilbert Spaces of Entire Functions: Early History
- James Rovnyak
- Ch 21 de Branges Spaces and Growth Aspects
- Harald Woracek
- Ch 22 Two-Dimensional Hamiltonian Systems
- Henrik Winkler
- Ch 23 de Branges Spaces and Kreĭn’s Theory of Entire Operators
- Luis O. Silva and Julio H. Toloza
- Ch 24 The Beurling–Malliavin Multiplier Theorem and Its Analogs for the de Branges Spaces
- Yurii Belov and Victor Havin
- Ch 25 Jacobi Matrices and de Branges Spaces
- Roman Romanov
- Ch 26 Schrödinger Operators and Canonical Systems
- Christian Remling
- Ch 27 de Branges–Rovnyak Spaces: Basics and Theory
- Joseph A. Ball and Vladimir Bolotnikov
- Ch 28 de Branges–Rovnyak Spaces and Norm-Constrained Interpolation
- Joseph A. Ball and Vladimir Bolotnikov
- Ch 29 de Branges Spaces of Vector-Valued Functions
- Damir Z. Arov and Harry Dym
- Ch 30 Applications of de Branges Spaces of Vector-Valued Functions
- Damir Z. Arov and Harry Dym
- Ch 31 Realization of Herglotz–Nevanlinna Functions by Conservative Systems
- Yury Arlinskiı̆, Sergey Belyi and Eduard Tsekanovskiı̆
- Ch 32 Synchronization Problems for Spatially Invariant Infinite Dimensional Linear Systems
- Avraham Feintuch
- Ch 33 Linear Transformations in Signal and Optical Systems
- Ahmed I. Zayed
- Ch 34 Perturbations of Unbounded Fredholm Linear Operators in Banach Spaces
- Toka Diagana
- Ch 35 Robust Stabilization of Linear Control Systems Using a Frequency Domain Approach
- Amol Sasane
- Ch 36 Semi- and Quasi-separable Systems
- Patrick Dewilde and Alle-Jan Van der Veen
- Ch 37 Basics of Secrecy Coding
- Phillip A. Regalia
- Ch 38 An Introduction to Hilbert Module Approach to Multivariable Operator Theory
- Jaydeb Sarkar
- Ch 39 Applications of Hilbert Module Approach to Multivariable Operator Theory
- Jaydeb Sarkar
- Ch 40 Commutative Dilation Theory
- Caline Ambrozie and Vladimír Müller
- Ch 41 Operator Theory and Function Theory in Drury–Arveson Space and Its Quotients
- Orr Shalit
- Ch 42 Taylor Functional Calculus
- Vladimír Müller
- Ch 43 Unbounded Operators, Lie Algebras, and Local Representations
- Palle E. T. Jorgensen and Feng Tian
- Ch 44 Arithmetic Functions in Harmonic Analysis and Operator Theory
- Ilwoo Cho and Palle E. T. Jorgensen
- Ch 45 A Von Neumann Algebra over the Adele Ring and the Euler Totient Function
- Ilwoo Cho and Palle E. T. Jorgensen
- Ch 46 Introductory Clifford Analysis
- Frank Sommen and Hennie De Schepper
- Ch 47 Quaternionic Analysis: Application to Boundary Value Problems
- Klaus Gürlebeck and Wolfgang Sprößig
- Ch 48 Function Spaces in Quaternionic and Clifford Analysis
- Mircea Martin
- Ch 49 Quaternionic Analysis and Some Conventional Theories
- Michael Shapiro
- Ch 50 Quaternionic and Clifford Analysis for Non-smooth Domains
- Ricardo Abreu-Blaya and Juan Bory-Reyes
- Ch 51 Clifford Analysis for Higher Spin Operators
- David Eelbode
- Ch 52 Fueter Mapping Theorem in Hypercomplex Analysis
- Tao Qian
- Ch 53 Representation Theory in Clifford Analysis
- Vladimír Souček
- Ch 54 Quaternionic and Clifford Analysis in Several Variables
- Daniele C. Struppa
- Ch 55 Hermitian Clifford Analysis
- Irene Sabadini and Frank Sommen
- Ch 56 Discrete Clifford Analysis
- Uwe Kähler and Frank Sommen
- Ch 57 Slice Hyperholomorphic Functions with Values in Some Real Algebras
- Daniele C. Struppa
- Ch 58 Fourier Transforms in Clifford Analysis
- Hendrik De Bie
- Ch 59 Wavelets in Clifford Analysis
- Swanhild Bernstein
- Ch 60 Monogenic Signal Theory
- Paula Cerejeiras and Uwe Kähler
- Ch 61 Some Peculiarities of Quaternionic Linear Spaces
- Maria Elena Luna-Elizarrarás and Michael Shapiro
- Ch 62 Schur Analysis in the Quaternionic Setting: The Fueter Regular and the Slice Regular Case
- Daniel Alpay, Fabrizio Colombo and Irene Sabadini
- Ch 63 Slice Hyperholomorphic Functional Calculi
- Fabrizio Colombo and Irene Sabadini
- Ch 64 The Monogenic Functional Calculus
- Brian Jefferies
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DOI: 10.1007/978-3-0348-0667-1
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