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Infinite-dimensional analysis: operators in hilbert space; stochastic calculus via representations, and duality theory, Jorgensen, Palle (the Univ Of Iowa, Usa) Tian, James (american Mathematics Society, Usa)


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Автор: Jorgensen, Palle (the Univ Of Iowa, Usa) Tian, James (american Mathematics Society, Usa)
Название:  Infinite-dimensional analysis: operators in hilbert space; stochastic calculus via representations, and duality theory
ISBN: 9789811225772
Издательство: World Scientific Publishing
Классификация:
ISBN-10: 981122577X
Обложка/Формат: Hardback
Страницы: 252
Вес: 0.51 кг.
Дата издания: 08.02.2021
Серия: Mathematics
Язык: English
Размер: 24.41 x 16.99 x 3.33 cm
Читательская аудитория: Tertiary education (us: college)
Ключевые слова: Functional analysis & transforms, MATHEMATICS / Calculus,MATHEMATICS / Mathematical Analysis,MATHEMATICS / Probability & Statistics / Stochastic
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Поставляется из: Англии
Описание:

The purpose of this book is to make available to beginning graduate students, and to others, some core areas of analysis which serve as prerequisites for new developments in pure and applied areas. We begin with a presentation (Chapters 1 and 2) of a selection of topics from the theory of operators in Hilbert space, algebras of operators, and their corresponding spectral theory. This is a systematic presentation of interrelated topics from infinite-dimensional and non-commutative analysis; again, with view to applications. Chapter 3 covers a study of representations of the canonical commutation relations (CCRs); with emphasis on the requirements of infinite-dimensional calculus of variations, often referred to as Ito and Malliavin calculus, Chapters 4-6. This further connects to key areas in quantum physics.




Unbounded Self-Adjoint Operators on Hilbert Space

Автор: Schm?dgen
Название: Unbounded Self-Adjoint Operators on Hilbert Space
ISBN: 9400747527 ISBN-13(EAN): 9789400747524
Издательство: Springer
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Цена: 10480.00 р.
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Описание: The book is a graduate text on unbounded self-adjoint operators on Hilbert space and their spectral theory with the emphasis on applications in mathematical physics (especially, Schroedinger operators) and analysis (Dirichlet and Neumann Laplacians, Sturm-Liouville operators, Hamburger moment problem) .

Hilbert Space Operators in Quantum Physics

Автор: Jir? Blank; Pavel Exner; Miloslav Havl?cek
Название: Hilbert Space Operators in Quantum Physics
ISBN: 9048180120 ISBN-13(EAN): 9789048180127
Издательство: Springer
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Цена: 14365.00 р.
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Описание: The new edition of this book detailing the theory of linear-Hilbert space operators and their use in quantum physics contains two new chapters devoted to properties of quantum waveguides and quantum graphs. The bibliography contains 130 new items.

Spectral Theory of Operators in Hilbert Space

Автор: Kurt O. Friedrichs
Название: Spectral Theory of Operators in Hilbert Space
ISBN: 0387900764 ISBN-13(EAN): 9780387900766
Издательство: Springer
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Цена: 19564.00 р.
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Описание: The present lectures intend to provide an introduction to the spectral analysis of self-adjoint operators within the framework of Hilbert space theory. Next, simple differential operators are treated as operators in Hilbert space, and the final chapter deals with the perturbation of discrete and continuous spectra.

Unbounded Self-adjoint Operators on Hilbert Space

Автор: Konrad Schm?dgen
Название: Unbounded Self-adjoint Operators on Hilbert Space
ISBN: 9400797419 ISBN-13(EAN): 9789400797413
Издательство: Springer
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Цена: 9083.00 р.
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Описание: This book explores unbounded self-adjoint operators on Hilbert space and their spectral theory, placing emphasis on applications in mathematical physics and analysis. Addresses advanced topics, and includes many examples and exercises.

Hilbert Space Operators in Quantum Physics

Автор: Jir? Blank; Pavel Exner; Miloslav Havl?cek
Название: Hilbert Space Operators in Quantum Physics
ISBN: 1402088698 ISBN-13(EAN): 9781402088698
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Explains the theory of linear Hilbert-space operators and their use in quantum physics. This book focuses on the spectral theory of self-adjoint operators. It discusses logical building of the operator structure of quantum theory as well as its practical aspects, such as spectral properties of quantum mechanical Hamiltonians and scattering theory.

A Glimpse at Hilbert Space Operators

Автор: Sheldon Axler; Peter Rosenthal; Donald Sarason
Название: A Glimpse at Hilbert Space Operators
ISBN: 3034803109 ISBN-13(EAN): 9783034803106
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This commemorative volume honors mathematician Paul R. Halmos, whose research, unparalleled mathematical exposition, and dedication to service made a major impact on the mathematics community. Various articles discuss his contributions to the operator theory.

Operator Analysis: Hilbert Space Methods in Complex Analysis

Автор: Jim Agler, John Edward McCarthy, Nicholas John Young
Название: Operator Analysis: Hilbert Space Methods in Complex Analysis
ISBN: 1108485448 ISBN-13(EAN): 9781108485449
Издательство: Cambridge Academ
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Цена: 21226.00 р.
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Описание: This monograph, aimed at graduate students and researchers, explores the use of Hilbert space methods in function theory. Explaining how operator theory interacts with function theory in one and several variables, the authors journey from an accessible explanation of the techniques to their uses in cutting edge research.

Kato`s Type Inequalities for Bounded Linear Operators in Hilbert Spaces

Автор: Silvestru Sever Dragomir
Название: Kato`s Type Inequalities for Bounded Linear Operators in Hilbert Spaces
ISBN: 3030174581 ISBN-13(EAN): 9783030174583
Издательство: Springer
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Цена: 7685.00 р.
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Описание: The aim of this book is to present results related to Kato's famous inequality for bounded linear operators on complex Hilbert spaces obtained by the author in a sequence of recent research papers. As Linear Operator Theory in Hilbert spaces plays a central role in contemporary mathematics, with numerous applications in fields including Partial Differential Equations, Approximation Theory, Optimization Theory, and Numerical Analysis, the volume is intended for use by both researchers in various fields and postgraduate students and scientists applying inequalities in their specific areas. For the sake of completeness, all the results presented are completely proved and the original references where they have been firstly obtained are mentioned.

An Introduction to the Theory of Reproducing Kernel Hilbert Spaces

Автор: Paulsen
Название: An Introduction to the Theory of Reproducing Kernel Hilbert Spaces
ISBN: 1107104092 ISBN-13(EAN): 9781107104099
Издательство: Cambridge Academ
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Цена: 9979.00 р.
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Описание: Covering the fundamental underlying theory as well as a range of applications, this unique text provides a unified overview of reproducing kernel Hilbert spaces. It offers an unrivalled and accessible introduction to the field, ideal for graduate students and researchers working in functional analysis or its applications.

A Primer on Hilbert Space Operators

Автор: So?tan
Название: A Primer on Hilbert Space Operators
ISBN: 331992060X ISBN-13(EAN): 9783319920603
Издательство: Springer
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Цена: 6288.00 р.
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Описание:

The book concisely presents the fundamental aspects of the theory of operators on Hilbert spaces. The topics covered include functional calculus and spectral theorems, compact operators, trace class and Hilbert-Schmidt operators, self-adjoint extensions of symmetric operators, and one-parameter groups of operators.

The exposition of the material on unbounded operators is based on a novel tool, called the z-transform, which provides a way to encode full information about unbounded operators in bounded ones, hence making many technical aspects of the theory less involved.

Functional Analysis: Entering Hilbert Space (Second Edition)

Автор: Hansen Vagn Lundsgaard
Название: Functional Analysis: Entering Hilbert Space (Second Edition)
ISBN: 981473392X ISBN-13(EAN): 9789814733922
Издательство: World Scientific Publishing
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Цена: 7603.00 р.
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Описание: This book presents basic elements of the theory of Hilbert spaces and operators on Hilbert spaces, culminating in a proof of the spectral theorem for compact, self-adjoint operators on separable Hilbert spaces.

Invitation to unbounded representations of  -algebras on hilbert space

Автор: Schmudgen, Konrad
Название: Invitation to unbounded representations of -algebras on hilbert space
ISBN: 3030463656 ISBN-13(EAN): 9783030463656
Издательство: Springer
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Цена: 6567.00 р.
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Описание: General Notation.- 1 Prologue: The Algebraic Approach to Quantum Theories.- 2 ∗-Algebras.- 3 O*-Algebras.- 4 ∗-Representations.- 5 Positive Linear Functionals.- 6 Representations of Tensor Algebras.- 7 Integrable Representations of Commutative ∗-Algebras.- 8 The Weyl Algebra and the Canonical Commutation Relation.- 9 Integrable Representations of Enveloping Algebras.- 10 Archimedean Quadratic Modules and Positivstellensдtze.- 11 The Operator Relation XX*=F(X*X).- 12 Induced ∗-Representations.- 13 Well-behaved ∗-Representations.- 14 Representations on Rigged Spaces and Hilbert C*-modules. A Unbounded Operators on Hilbert Space.- B C*-Algebras and Representations.- C Locally Convex Spaces and Separation of Convex Sets.- References.- Symbol Index.- Subject Index.


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