Operator Theory
Edited by Daniel Alpay (),
Fabrizio Colombo () and
Irene Sabadini ()
in Springer Books from Springer
Date: 2026
Edition: Second Edition 2026
ISBN: 978-3-032-16356-1
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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 Hilbert Spaces of Entire Functions and Toeplitz Quantization of Euclidean Planes
- Micho Ðurđevich and Stephen Bruce Sontz
- Ch 9 Nonorthogonal Hilbert Space Decompositions with Operator Range Spaces and Reproducing Kernel Hilbert Spaces
- Seppo Hassi and Hendrik S. V. de Snoo
- Ch 10 Multi-valued Operators/Linear Relations Between Kreı̆n Spaces
- Hendrik Luit Wietsma
- Ch 11 Symmetric and Isometric Relations
- Hendrik Luit Wietsma
- Ch 12 Two-Dimensional Hamiltonian Systems
- Henrik Winkler
- Ch 13 Schrödinger Operators and CanonicalSystems
- Christian Remling
- Ch 14 Jacobi Matrices and de Branges Spaces
- Roman Romanov
- Ch 15 Applications of de Branges Spaces of Vector-Valued Functions
- Damir Z. Arov and Harry Dym
- Ch 16 de Branges Spaces of Vector-Valued Functions
- Damir Z. Arov and Harry Dym
- Ch 17 The Beurling–Malliavin Multiplier Theorem and Its Analogs for the de Branges Spaces
- Yurii Belov and Victor Havin
- Ch 18 Boundary Triples, Weyl Functions, and the Krein Formula
- Volodymyr Derkach
- Ch 19 Contractions and the Commutant Lifting Theorem in Kreı̆n Spaces
- Michael A. Dritschel
- Ch 20 Locally Definitizable Operators: The Local Structure of the Spectrum
- Carsten Trunk
- Ch 21 Schur Analysis in an Indefinite Setting
- Aad Dijksma
- Ch 22 Reproducing Kernel Kreı̆n Spaces
- Aurelian Gheondea
- Ch 23 Generalized Nevanlinna Functions: Operator Representations, Asymptotic Behavior
- Annemarie Luger
- Ch 24 Indefinite Hamiltonians
- Michael Kaltenbäck
- Ch 25 The Critical Point Infinity Associated with Indefinite Sturm–Liouville Operators
- Andreas Fleige
- Ch 26 Finite-Dimensional Indefinite Inner Product Spaces and Applications in Numerical Analysis
- Christian Mehl
- Ch 27 The Algebraic Riccati Equation and Its Role in Indefinite Inner Product Spaces
- André C. M. Ran
- Ch 28 Hilbert Spaces of Entire Functions: Early History
- James Rovnyak
- Ch 29 de Branges Spaces and Growth Aspects
- Harald Woracek
- Ch 30 de Branges Spaces and Krein’s Theory of Entire Operators
- Luis O. Silva and Julio H. Toloza
- Ch 31 de Branges–Rovnyak Spaces: Basics and Theory
- Joseph A. Ball and Vladimir Bolotnikov
- Ch 32 de Branges–Rovnyak Spaces and Norm-Constrained Interpolation
- Joseph A. Ball and Vladimir Bolotnikov
- Ch 33 Recent Developments in Conservative Realizations of Herglotz–Nevanlinna Functions
- Yury Arlinskiı̆, Sergey Belyi and Eduard Tsekanovskiı̆
- Ch 34 Synchronization Problems for Spatially Invariant Infinite DimensionalLinear Systems
- Avraham Feintuch
- Ch 35 Linear and Fractional Transformations in Signal Analysis
- Ahmed I. Zayed
- Ch 36 Perturbations of Unbounded Fredholm Linear Operators in Banach Spaces
- Toka Diagana
- Ch 37 Robust Stabilization of Linear Control Systems Using a Frequency DomainApproach
- Amol Sasane
- Ch 38 Quasi-separable Systems
- Patrick Dewilde and Alle-Jan van der Veen
- Ch 39 Basics of Secrecy Coding
- Phillip A. Regalia
- Ch 40 An Introduction to Hilbert Module Approach to Multivariable Operator Theory
- Jaydeb Sarkar
- Ch 41 Applications of Hilbert Module Approach to Multivariable Operator Theory
- Jaydeb Sarkar
- Ch 42 Commutative Dilation Theory
- Cǎlin Ambrozie and Vladimir Müller
- Ch 43 Operator Theory and Function Theory in Drury-Arveson Space and Its Quotients
- Michael Hartz and Orr Moshe Shalit
- Ch 44 Taylor Functional Calculus
- Vladimir Müller
- Ch 45 Operator Theory on Noncommutative Polyballs
- Gelu Popescu
- Ch 46 Shift-Cyclicity in Analytic Function Spaces
- Jeet Sampat
- Ch 47 Rational Inner Functions on the Polydisk: A Survey
- Greg Knese
- Ch 48 Unbounded Operators, Lie Algebras, and Local Representations
- Palle E. T. Jorgensen and James Tian
- Ch 49 Arithmetic Functions in Harmonic Analysis and Operator Theory
- Ilwoo Cho and Palle E. T. Jorgensen
- Ch 50 A Von Neumann Algebra over the Adele Ring and the Euler Totient Function
- Ilwoo Cho and Palle E. T. Jorgensen
- Ch 51 On Extreme Points of Symmetric Doubly Stochastic Matrices
- Ali Bayati Eshkaftaki, Selcuk Koyuncu, Javad Mashreghi and Mostafa Nasri
- Ch 52 Introductory Clifford Analysis
- Frank Sommen and Hennie De Schepper
- Ch 53 Quaternionic Analysis: Application to Boundary Value Problems
- Klaus Gürlebeck and Wolfgang Sprößig
- Ch 54 Function Spaces in Quaternionic and Clifford Analysis
- Mircea Martin
- Ch 55 Quaternionic Analysis and Some Conventional Theories
- Michael Shapiro
- Ch 56 Wavelets in Clifford Analysis
- Swanhild Bernstein
- Ch 57 Some Peculiarities of Quaternionic Linear Spaces
- Maria Elena Luna-Elizarrarás and Michael Shapiro
- Ch 58 Quaternionic and Clifford Analysis for Non-smooth Domains
- Ricardo Abreu Blaya and Juan Bory Reyes
- Ch 59 Clifford Analysis for Higher Spin Operators
- David Eelbode
- Ch 60 Fueter Mapping Theorem in Hypercomplex Analysis
- Tao Qian
- Ch 61 Representation Theory in Clifford Analysis
- Vladimír Souček
- Ch 62 Quaternionic and Clifford Analysis in Several Variables
- Daniele C. Struppa
- Ch 63 Hermitian Clifford Analysis
- Irene Sabadini and Frank Sommen
- Ch 64 Discrete Clifford Analysis
- Uwe Kähler and Frank Sommen
- Ch 65 Slice Hyperholomorphic Functions with Values in Some Real Algebras
- Daniele C. Struppa
- Ch 66 Fourier Transforms in Clifford Analysis
- Hendrik De Bie and Pan Lian
- Ch 67 Monogenic Signal Theory
- Paula Cerejeiras and Uwe Kähler
- Ch 68 Schur Analysis in the Quaternionic Setting: The Fueter Regular and the Slice Regular Case
- Daniel Alpay, Fabrizio Colombo and Irene Sabadini
- Ch 69 Slice Hyperholomorphic Functional Calculi and the Spectral Theorem on the S-Spectrum
- Fabrizio Colombo and Irene Sabadini
- Ch 70 The Monogenic Functional Calculus
- Brian Jefferies
- Ch 71 Toward Fock Spaces in Hypercomplex Analysis
- Kamal Diki
- Ch 72 The Fine Structure Theories on the S-Spectrum
- Antonino De Martino
- Ch 73 On Generators of Hardy and Bergman Spaces
- Valentin V. Andreev, Miron B. Bekker and Joseph A. Cima
- Ch 74 Dirichlet Spaces with a Class of Nonradial Weights
- Guanlong Bao
- Ch 75 On the Equivalence of the Corona and Strong Corona Problems for H ∞ $${\mathbf {H}}^\infty $$ on a Polydisk
- Alexander Brudnyi
- Ch 76 Kernels of Paired Operators and Their Adjoints
- M. Cristina Câmara and Jonathan R. Partington
- Ch 77 Cyclicity of the Shift Operator and a Related Completeness Problem in de Branges–Rovnyak Spaces
- Emmanuel Fricain and Romain Lebreton
- Ch 78 A Survey on Q K $$\mathcal {Q}_{\textit {K}}$$ Spaces
- Songxiao Li and Hasi Wulan
- Ch 79 Regular Functions in de Branges-Rovnyak Spaces
- Bartosz Malman
- Ch 80 On Log Integrability of Radon–Nikodym Derivatives
- Robert T. W. Martin
- Ch 81 Golden Ratio and Lebesgue Constant in Local Dirichlet Spaces
- Mostafa Nasri
- Ch 82 Lectures on the Hardy Space
- William T. Ross
- Ch 83 Operators in the Toeplitz Algebra on the Bergman Space
- Nina Zorboska
- Ch 84 Noncommutative Inner–Outer Factorizations
- Michael T. Jury, Robert T. W. Martin and E. Shamovich
- Ch 85 Extreme Points of Matrix Convex Sets and Their Spanning Properties
- Eric Evert, Benjamin Passer and Tea Štrekelj
- Ch 86 Games and Algebras
- Samuel J. Harris and Vern I. Paulsen
- Ch 87 Noncommutative Choquet Theory: A Survey
- Kenneth R. Davidson and Matthew Kennedy
- Ch 88 Linear Matrix Pencils and Noncommutative Convexity
- Jurij Volčič
- Ch 89 Positivity of State, Trace, and Moment Polynomials and Applications in Quantum Information
- Felix Huber, Victor Magron and Jurij Volčič
- Ch 90 The Sequential Compactness Theorem Modulo Unitary Conjugation in the Strong Operator Topology
- James E. Pascoe
- Ch 91 Introduction to Superoscillations: Past and Present
- Yakir Aharonov, Fabrizio Colombo, Irene Sabadini and Daniele C. Struppa
- Ch 92 Supershift and Analyticity
- Daniele C. Struppa and Alain Yger
- Ch 93 Differential Operators of Infinite Order and Spaces of Entire Functions
- Takashi Aoki and Yasunori Okada
- Ch 94 Superoscillating Sequences in Several Variables
- Stefano Pinton and Irene Sabadini
- Ch 95 Integral Representation and Time Evolution of Superoscillations
- Jussi Behrndt, Fabrizio Colombo and Peter Schlosser
- Ch 96 Superoscillations and Physical Applications
- Andrew N. Jordan, John C. Howell, Nicholas Vamivakas and Ebrahim Karimi
- Ch 97 Hamiltonians for Quantum Systems with Contact Interactions
- Alessandro Teta and Daniele Ferretti
- Ch 98 Existence of Ground States in Nonrelativistic Field Theories
- Marco Falconi
- Ch 99 On the Magnetic Perturbation Theory for Chern Insulators
- Horia D. Cornean and Massimo Moscolari
- Ch 100 The Aharonov-Bohm Hamiltonian: Self-adjointness, Spectral, and Scattering Properties
- Davide Fermi
- Ch 101 The Koopman Operator
- Mihai Putinar
- Ch 102 An Overview on Stability Theory in a Koopman Operator-Theoretic Perspective
- Alexandre Mauroy
- Ch 103 Koopman Resolvents
- Yoshihiko Susuki
- Ch 104 Koopman Operators: Spectra, Function Spaces, and Representations
- Igor Mezić
- Ch 105 Koopman and Transfer Operator Techniques from the Perspective of Quantum Theory
- Dimitrios Giannakis and Michael Montgomery
- Ch 106 An Introductory Guide to Koopman Learning
- Matthew Colbrook, Zlatko Drmač and Andrew Horning
- Ch 107 Continuous Topological Insulators Classification and Bulk-Edge Correspondence
- Guillaume Bal
- Ch 108 An Operator Approach to the Analysis of Electromagnetic Wave Propagation in Dispersive Media: Part 1—General Results
- Maxence Cassier and Patrick Joly
- Ch 109 An Operator Approach to the Analysis of Electromagnetic Wave Propagation in Dispersive Media: Part 2—Transmission Problems
- Maxence Cassier and Patrick Joly
- Ch 110 Operator Aspects of Wave Propagation Through Periodic Media
- Kirill Cherednichenko and Yi-Sheng Lim
- Ch 111 Algebraic Aspects of Periodic Graph Operators
- Stephen P. Shipman and Frank Sottile
- Ch 112 Effective Operators in the Mathematical Theory of Composite Materials: The Hilbert Space Framework
- Aaron Welters
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DOI: 10.1007/978-3-032-16356-1
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