Mathematics
Operator Analysis


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London Mathematical Society Lecture Note Series #294: Introduction to Operator Space Theory
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London Mathematical Society Lecture Note Series #294: Introduction to Operator Space Theory
by Gilles Pisier

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An introduction to the theory of operator spaces, emphasising applications to C*-algebras....
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Theory of Linear Operators in Hilbert Space
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Theory of Linear Operators in Hilbert Space
by N I Akhiezer

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This classic textbook by two mathematicians from the U.S.S.R.’s prestigious Kharkov Mathematics Institute introduces linear operators in Hilbert space, and presents in detail the geometry of Hilbert space and the spectral theory of unitary and self-...
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Operator Algebras the Abel Symposium 200
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Operator Algebras the Abel Symposium 200
by Ola Bratteli

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The theme of the first Abel Symposium was operator algebras in a wide sense. In the last 40 years operator algebras have developed from a rather special discipline within functional analysis to become a central field in mathematics often described as non-...
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Operator Theory in Function Spaces 2ND Edition
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Operator Theory in Function Spaces 2ND Edition
by Kehe Zhu

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Zhu (mathematics. State U. of New York at Albany) covers Toeplitz operators, Hankel operators and composition operators on both Bergman space and hardy space. His setting is the unit disk and he emphasizes size estimates of these operators in terms of...
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A course in operator theory
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A course in operator theory
by John Conway

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Covers subjects central to operator theory, with chapters on C*- algebras, normal operators, compact operators, ideals of operators, non-normal operators, compact perturbations, Von Neumann algebras, and reflexivity. Includes examples and applications....
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Carleson Curves, Muckenhoupt Weights, & Toeplitz Operators
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Carleson Curves, Muckenhoupt Weights, & Toeplitz Operators
by Albrecht Bottcher

Synopsis
Award-winning monograph of the Ferran Sunyer i Balaguer Prize 1997. This book is a self-contained exposition of the spectral theory of Toeplitz operators with piecewise continuous symbols and singular integral operators with piecewise continuous...
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Linear Differential Operators
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Linear Differential Operators
by Cornelius Lanczos

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This graduate-level, self-contained text addresses the basic and characteristic properties of linear differential operators, examining ideas and concepts and their interrelations rather than mere manipulation of formulae. Written at an advanced level...
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Operator Theory, Advances and Applications #157: Operator Theory, Systems Theory and Scattering Theory: Multidimensional Generalizations
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Operator Theory, Advances and Applications #157: Operator Theory, Systems Theory and Scattering Theory: Multidimensional Generalizations
by Daniel Alpay

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Operator theory, system theory, scattering theory, and the theory of analytic functions of one complex variable are deeply related topics, and the relationships between these theories are well understood. When one leaves the setting of one operator and...
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Analytical Methods and Special Functions #10: Operational Calculus and Related Topics
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Analytical Methods and Special Functions #10: Operational Calculus and Related Topics
by H J Glaeske

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Even though the theories of operational calculus and integral transforms are centuries old, these topics are constantly developing, due to their use in the fields of mathematics, physics, and electrical and radio engineering. Operational Calculus and...
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Modern Trends in Pseudo Differential Ope
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Modern Trends in Pseudo Differential Ope
by Joachim Toft

Publisher Comments
The ISAAC Group in Pseudo-Differential Operators (IGPDO) met at the Fifth ISAAC Congress held at UniversitA di Catania in Italy in July, 2005. This volume consists of papers based on lectures given at the special session on pseudodifferential operators...
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Progress in Mathematics #256: Spectral Theory of Infinite-Area Hyperbolic Surfaces
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Progress in Mathematics #256: Spectral Theory of Infinite-Area Hyperbolic Surfaces
by David Borthwick

Publisher Comments
This book is a self-contained monograph on spectral theory for non-compact Riemann surfaces, focused on the infinite-volume case. A hyperbolic surface of infinite volume provides for a qualitatively different context from either the compact or finite...
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Operator Theory and Interpolation: International Workshop on Operator Theory and Applications, Iwota 96
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Operator Theory and Interpolation: International Workshop on Operator Theory and Applications, Iwota 96
by Hari Bercovici

Synopsis
Systems and control theories use sophisticated operator theoretical methods. They also provide new ideas and problems in operator theory. As a consequence, the biannual MTNS (Mathematical Theory of Networks and Systems) conference is attended by many...
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Factorization of Matrix & Operator Funct
by Harm Bart

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The present book deals with factorization problems for matrix and operator functions. The problems originate from, or are motivated by, the theory of non-selfadjoint operators, the theory of matrix polynomials, mathematical systems and control theory...
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The State Space Method
by Daniel (edt) Alpay

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The state space method developed in the last decades allows us to study the theory of linear systems by using tools from the theory of linear operators; conversely, it had a strong influence on operator theory introducing new questions and topics. The...
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New Trends in the Theory of Hyperbolic E
by Michael Reissig

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This book presents several recent developments in the theory of hyperbolic equations. The carefully selected invited and peer-reviewed contributions deal with questions of low regularity, critical growth, ill-posedness, decay estimates for solutions of...
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Analytic pseudodifferential operators for the Heisenberg group and local solvability
by Daryl Geller

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Develops a calculus of pseudodifferential operators for the Heisenberg group in the (real) analytic setting, and applies this calculus to the study of certain operators arising in several complex variables. No index. Annotation c. Book News, Inc...
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System Theory the Schur Algorithm & Mul
by Daniel Alpay

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This volume contains six peer-refereed articles written on the occasion of the workshop Operator theory, system theory and scattering theory: multidimensional generalizations and related topics, held at the Department of Mathematics of the Ben-Gurion...
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Wavelets Multiscale Systems & Hypercomp
by Daniel Alpay

Publisher Comments
From a mathematical point of view it is fascinating to realize that most, if not all, of the notions arising from the theory of analytic functions in the open unit disk have counterparts when one replaces the integers by the nodes of a homogeneous tree...
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Partially Specified Matrices & Operators: Classification, Completion, Applications
by Israel Gohberg

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Explores a new direction in linear algebra and operator theory dealing with the invariants of partially specified matrices and operators, and the spectral analysis of their completions. The approach revolves around two problems: the classification of...
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Annals of Mathematics Studies #119: Calculus on Heisenberg Manifolds. (Am-119)
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Annals of Mathematics Studies #119: Calculus on Heisenberg Manifolds. (Am-119)
by Richard Beals



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