Hilbert Space Approach to Some Classical Transforms

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Author :
Publisher : Longman
ISBN 13 :
Total Pages : 228 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Hilbert Space Approach to Some Classical Transforms by : Rainer Picard

Download or read book Hilbert Space Approach to Some Classical Transforms written by Rainer Picard and published by Longman. This book was released on 1989 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Hilbert Space Approach to Some Classical Transforms

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Author :
Publisher :
ISBN 13 : 9780486818443
Total Pages : 208 pages
Book Rating : 4.8/5 (184 download)

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Book Synopsis Hilbert Space Approach to Some Classical Transforms by : Rainer Picard

Download or read book Hilbert Space Approach to Some Classical Transforms written by Rainer Picard and published by . This book was released on 2018-03-30 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Methods of Hilbert Spaces in the Theory of Nonlinear Dynamical Systems

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Author :
Publisher : World Scientific
ISBN 13 : 9789810217532
Total Pages : 148 pages
Book Rating : 4.2/5 (175 download)

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Book Synopsis Methods of Hilbert Spaces in the Theory of Nonlinear Dynamical Systems by : Krzysztof Kowalski

Download or read book Methods of Hilbert Spaces in the Theory of Nonlinear Dynamical Systems written by Krzysztof Kowalski and published by World Scientific. This book was released on 1994 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first monograph on a new powerful method discovered by the author for the study of nonlinear dynamical systems relying on reduction of nonlinear differential equations to the linear abstract Schr”dinger-like equation in Hilbert space. Besides the possibility of unification of many apparently completely different techniques, the ?quantal? Hilbert space formalism introduced enables new original methods to be discovered for solving nonlinear problems arising in investigation of ordinary and partial differential equations as well as difference equations. Applications covered in the book include symmetries and first integrals, linearization transformations, B„cklund transformations, stroboscopic maps, functional equations involving the case of Feigenbaum-Cvitanovic renormalization equations and chaos.

An Introduction to Linear Transformations in Hilbert Space. (AM-4), Volume 4

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Author :
Publisher : Princeton University Press
ISBN 13 : 1400882265
Total Pages : 135 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis An Introduction to Linear Transformations in Hilbert Space. (AM-4), Volume 4 by : Francis Joseph Murray

Download or read book An Introduction to Linear Transformations in Hilbert Space. (AM-4), Volume 4 written by Francis Joseph Murray and published by Princeton University Press. This book was released on 2016-03-02 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, An Introduction to Linear Transformations in Hilbert Space. (AM-4), Volume 4, will be forthcoming.

Applied Analysis by the Hilbert Space Method

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Author :
Publisher : Courier Corporation
ISBN 13 : 0486139298
Total Pages : 578 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Applied Analysis by the Hilbert Space Method by : Samuel S. Holland

Download or read book Applied Analysis by the Hilbert Space Method written by Samuel S. Holland and published by Courier Corporation. This book was released on 2012-05-04 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerous worked examples and exercises highlight this unified treatment. Simple explanations of difficult subjects make it accessible to undergraduates as well as an ideal self-study guide. 1990 edition.

Linear Transformations in Hilbert Space and Their Applications to Analysis

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Publisher : American Mathematical Soc.
ISBN 13 : 0821810154
Total Pages : 632 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Linear Transformations in Hilbert Space and Their Applications to Analysis by : Marshall Harvey Stone

Download or read book Linear Transformations in Hilbert Space and Their Applications to Analysis written by Marshall Harvey Stone and published by American Mathematical Soc.. This book was released on 1932-12-31 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Analysis by the Hilbert Space Method

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Author :
Publisher : Courier Corporation
ISBN 13 : 0486458016
Total Pages : 578 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Applied Analysis by the Hilbert Space Method by : Samuel S. Holland

Download or read book Applied Analysis by the Hilbert Space Method written by Samuel S. Holland and published by Courier Corporation. This book was released on 2007-06-05 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerous worked examples and exercises highlight this unified treatment of the Hermitian operator theory in its Hilbert space setting. Its simple explanations of difficult subjects make it accessible to undergraduates as well as an ideal self-study guide. Featuring full discussions of first and second order linear differential equations, the text introduces the fundamentals of Hilbert space theory and Hermitian differential operators. It derives the eigenvalues and eigenfunctions of classical Hermitian differential operators, develops the general theory of orthogonal bases in Hilbert space, and offers a comprehensive account of Schrödinger's equations. In addition, it surveys the Fourier transform as a unitary operator and demonstrates the use of various differentiation and integration techniques. Samuel S. Holland, Jr. is a professor of mathematics at the University of Massachusetts, Amherst. He has kept this text accessible to undergraduates by omitting proofs of some theorems but maintaining the core ideas of crucially important results. Intuitively appealing to students in applied mathematics, physics, and engineering, this volume is also a fine reference for applied mathematicians, physicists, and theoretical engineers.

On Certain Unitary Representations of an Infinite Group of Transformations

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Author :
Publisher : World Scientific
ISBN 13 : 9789810246433
Total Pages : 108 pages
Book Rating : 4.2/5 (464 download)

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Book Synopsis On Certain Unitary Representations of an Infinite Group of Transformations by : L‚on Hove

Download or read book On Certain Unitary Representations of an Infinite Group of Transformations written by L‚on Hove and published by World Scientific. This book was released on 2001 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: On April 20, 1951, L‚on Van Hove presented his thesis ?Sur certaines repr‚sentations unitaires d'un groupe infini de transformations' to the Universit‚ libre de Bruxelles (Free University of Brussels), two days before the University of Grenoble had approved the creation of L'Ecole d'‚t‚ de physique th‚orique at Les Houches (Haute Savoie, France). The first session of the ?Ecole des Houches? began on July 15, 1951, with a month-long course by Van Hove on quantum mechanics. The lecture notes for this course were written for the benefit of physicists who ? like most of their colleagues outside the US, Canada, and England at that time ? did not know quantum mechanics but wanted to learn it seriously. Van Hove's course met their expectations fully. The physics course benefitted from the mathematical expertise of the lecturer, which is also apparent in this thesis. Without his own research as scaffolding, Van Hove could not have built the short and beautiful course which provided the participants with a solid, useful foundation in modern physics.The lecture notes are in French. If they had been in English they would have been published together with the translation of the thesis. The first three pages of the notes are reproduced at the end of this book. The set of notes was reproduced by stencils and distributed to the participants at the beginning of the course.The translation of L‚on Van Hove's thesis was initiated in late 2000, when Bob Hermann, formerly in the Department of Mathematics at MIT, sent to Van Hove's son Michel his view on the thesis: ?I would consider it as one of the most important mathematical physics papers of the past fifty years, containing the key ideas for what has become known as ?geometric quantization.?? Indeed, the thesis is interesting both to historians of science and to theoretical physicists and mathematicians exploring the relationships between quantum and classical physics, based on the Hilbert-space approach to classical mechanics.

On Certain Unitary Representations Of An Infinite Group Of Transformations - Thesis By Leon Van Hove

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Author :
Publisher : World Scientific
ISBN 13 : 981449089X
Total Pages : 103 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis On Certain Unitary Representations Of An Infinite Group Of Transformations - Thesis By Leon Van Hove by : Marcus Berg

Download or read book On Certain Unitary Representations Of An Infinite Group Of Transformations - Thesis By Leon Van Hove written by Marcus Berg and published by World Scientific. This book was released on 2001-05-17 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: On April 20, 1951, Léon Van Hove presented his thesis “Sur certaines représentations unitaires d'un groupe infini de transformations' to the Université libre de Bruxelles (Free University of Brussels), two days before the University of Grenoble had approved the creation of L'Ecole d'été de physique théorique at Les Houches (Haute Savoie, France). The first session of the “Ecole des Houches” began on July 15, 1951, with a month-long course by Van Hove on quantum mechanics. The lecture notes for this course were written for the benefit of physicists who — like most of their colleagues outside the US, Canada, and England at that time — did not know quantum mechanics but wanted to learn it seriously. Van Hove's course met their expectations fully. The physics course benefitted from the mathematical expertise of the lecturer, which is also apparent in this thesis. Without his own research as scaffolding, Van Hove could not have built the short and beautiful course which provided the participants with a solid, useful foundation in modern physics.The lecture notes are in French. If they had been in English they would have been published together with the translation of the thesis. The first three pages of the notes are reproduced at the end of this book. The set of notes was reproduced by stencils and distributed to the participants at the beginning of the course.The translation of Léon Van Hove's thesis was initiated in late 2000, when Bob Hermann, formerly in the Department of Mathematics at MIT, sent to Van Hove's son Michel his view on the thesis: “I would consider it as one of the most important mathematical physics papers of the past fifty years, containing the key ideas for what has become known as ‘geometric quantization.’” Indeed, the thesis is interesting both to historians of science and to theoretical physicists and mathematicians exploring the relationships between quantum and classical physics, based on the Hilbert-space approach to classical mechanics.

Mathematical Topics Between Classical and Quantum Mechanics

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 146121680X
Total Pages : 547 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Mathematical Topics Between Classical and Quantum Mechanics by : Nicholas P. Landsman

Download or read book Mathematical Topics Between Classical and Quantum Mechanics written by Nicholas P. Landsman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph draws on two traditions: the algebraic formulation of quantum mechanics as well as quantum field theory, and the geometric theory of classical mechanics. These are combined in a unified treatment of the theory of Poisson algebras of observables and pure state spaces with a transition probability, which leads on to a discussion of the theory of quantization and the classical limit from this perspective. A prototype of quantization comes from the analogy between the C*- algebra of a Lie groupoid and the Poisson algebra of the corresponding Lie algebroid. The parallel between reduction of symplectic manifolds in classical mechanics and induced representations of groups and C*- algebras in quantum mechanics plays an equally important role. Examples from physics include constrained quantization, curved spaces, magnetic monopoles, gauge theories, massless particles, and $theta$- vacua. Accessible to mathematicians with some prior knowledge of classical and quantum mechanics, and to mathematical physicists and theoretical physicists with some background in functional analysis.

Hilbert Space Operators

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Publisher : Springer Science & Business Media
ISBN 13 : 1461220645
Total Pages : 162 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Hilbert Space Operators by : Carlos S. Kubrusly

Download or read book Hilbert Space Operators written by Carlos S. Kubrusly and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained work on Hilbert space operators takes a problem-solving approach to the subject, combining theoretical results with a wide variety of exercises that range from the straightforward to the state-of-the-art. Complete solutions to all problems are provided. The text covers the basics of bounded linear operators on a Hilbert space and gradually progresses to more advanced topics in spectral theory and quasireducible operators. Written in a motivating and rigorous style, the work has few prerequisites beyond elementary functional analysis, and will appeal to graduate students and researchers in mathematics, physics, engineering, and related disciplines.

A Primer for a Secret Shortcut to PDEs of Mathematical Physics

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Publisher : Springer Nature
ISBN 13 : 3030473333
Total Pages : 191 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis A Primer for a Secret Shortcut to PDEs of Mathematical Physics by : Des McGhee

Download or read book A Primer for a Secret Shortcut to PDEs of Mathematical Physics written by Des McGhee and published by Springer Nature. This book was released on 2020-08-24 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: ​This book presents a concise introduction to a unified Hilbert space approach to the mathematical modelling of physical phenomena which has been developed over recent years by Picard and his co-workers. The main focus is on time-dependent partial differential equations with a particular structure in the Hilbert space setting that ensures well-posedness and causality, two essential properties of any reasonable model in mathematical physics or engineering.However, the application of the theory to other types of equations is also demonstrated. By means of illustrative examples, from the straightforward to the more complex, the authors show that many of the classical models in mathematical physics as well as more recent models of novel materials and interactions are covered, or can be restructured to be covered, by this unified Hilbert space approach. The reader should require only a basic foundation in the theory of Hilbert spaces and operators therein. For convenience, however, some of the more technical background requirements are covered in detail in two appendices The theory is kept as elementary as possible, making the material suitable for a senior undergraduate or master’s level course. In addition, researchers in a variety of fields whose work involves partial differential equations and applied operator theory will also greatly benefit from this approach to structuring their mathematical models in order that the general theory can be applied to ensure the essential properties of well-posedness and causality.

Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 9401153329
Total Pages : 247 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics by : W.-H. Steeb

Download or read book Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics written by W.-H. Steeb and published by Springer Science & Business Media. This book was released on 2013-03-07 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a comprehensive introduction to modern quantum mechanics, emphasising the underlying Hilbert space theory and generalised function theory. All the major modern techniques and approaches used in quantum mechanics are introduced, such as Berry phase, coherent and squeezed states, quantum computing, solitons and quantum mechanics. Audience: The book is suitable for graduate students in physics and mathematics.

Recent Developments in Theoretical Fluid Mechanics

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Publisher : CRC Press
ISBN 13 : 1000941019
Total Pages : 176 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Recent Developments in Theoretical Fluid Mechanics by : G P Galdi

Download or read book Recent Developments in Theoretical Fluid Mechanics written by G P Galdi and published by CRC Press. This book was released on 2023-07-21 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Including previously unpublished, original research material, this comprehensive book analyses topics of fundamental importance in theoretical fluid mechanics. The five papers appearing in this volume are centred around the mathematical theory of the Navier-Stokes equations (incompressible and compressible) and certain selected non-Newtonian modifications.

Calculus of Variations, Applications and Computations

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Publisher : CRC Press
ISBN 13 : 9780582239623
Total Pages : 300 pages
Book Rating : 4.2/5 (396 download)

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Book Synopsis Calculus of Variations, Applications and Computations by : C Bandle

Download or read book Calculus of Variations, Applications and Computations written by C Bandle and published by CRC Press. This book was released on 1995-04-26 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research presents some important domains of partial differential equations and applied mathematics including calculus of variations, control theory, modelling, numerical analysis and various applications in physics, mechanics and engineering. These topics are now part of many areas of science and have experienced tremendous development during the last decades.

Emerging Applications in Free Boundary Problems

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Publisher : CRC Press
ISBN 13 : 1000153754
Total Pages : 296 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Emerging Applications in Free Boundary Problems by : J M Chadam

Download or read book Emerging Applications in Free Boundary Problems written by J M Chadam and published by CRC Press. This book was released on 2020-12-22 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Research Note presents a collection of papers on emerging applications in free boundary problems. The subjects covered include microgravity, chemical and biological reactions, and electromagnetism and electronics.

Rings and Radicals

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Publisher : CRC Press
ISBN 13 : 9780582292819
Total Pages : 276 pages
Book Rating : 4.2/5 (928 download)

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Book Synopsis Rings and Radicals by : R. Wiegandt

Download or read book Rings and Radicals written by R. Wiegandt and published by CRC Press. This book was released on 1996-04-18 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1996. Routledge is an imprint of Taylor & Francis, an informa company.