Fourier Integral And Certain Of Its Applications
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The Fourier Integral And Certain Of Its Applications
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Author : Norbert Wiener
language : en
Publisher: CUP Archive
Release Date : 1988-11-17
The Fourier Integral And Certain Of Its Applications written by Norbert Wiener and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-11-17 with Mathematics categories.
The book was written from lectures given at the University of Cambridge and maintains throughout a high level of rigour whilst remaining a highly readable and lucid account. Topics covered include the Planchard theory of the existence of Fourier transforms of a function of L2 and Tauberian theorems. The influence of G. H. Hardy is apparent from the presence of an application of the theory to the prime number theorems of Hadamard and de la Vallee Poussin. Both pure and applied mathematicians will welcome the reissue of this classic work. For this reissue, Professor Kahane's Foreword briefly describes the genesis of Wiener's work and its later significance to harmonic analysis and Brownian motion.
The Fourier Integral And Certain Of Its Applications
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Author : N. Wiener
language : en
Publisher:
Release Date : 1945
The Fourier Integral And Certain Of Its Applications written by N. Wiener and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1945 with categories.
Fourier Integral And Certain Of Its Applications
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Author : Norbert Wiener
language : en
Publisher:
Release Date : 2013-09
Fourier Integral And Certain Of Its Applications written by Norbert Wiener and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09 with categories.
The Fourier Integral And Certain Of Its Applications
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Author : Roelof Houwink
language : en
Publisher:
Release Date : 1959
The Fourier Integral And Certain Of Its Applications written by Roelof Houwink and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with categories.
The Fourier Integral And Certain Of Its Application
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Author : Norbert Wiener
language : en
Publisher:
Release Date : 1933
The Fourier Integral And Certain Of Its Application written by Norbert Wiener and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1933 with Integral operators categories.
Fourier Integral Operators
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Author : J.J. Duistermaat
language : en
Publisher: Springer Science & Business Media
Release Date : 1995-11-29
Fourier Integral Operators written by J.J. Duistermaat and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-11-29 with Mathematics categories.
This volume is a useful introduction to the subject of Fourier Integral Operators and is based on the author’s classic set of notes. Covering a range of topics from Hörmander’s exposition of the theory, Duistermaat approaches the subject from symplectic geometry and includes application to hyperbolic equations (= equations of wave type) and oscillatory asymptotic solutions which may have caustics. This text is suitable for mathematicians and (theoretical) physicists with an interest in (linear) partial differential equations, especially in wave propagation, rep. WKB-methods.
An Introduction To The Uncertainty Principle
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Author : Sundaram Thangavelu
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-10-09
An Introduction To The Uncertainty Principle written by Sundaram Thangavelu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-10-09 with Mathematics categories.
In 1932 Norbert Wiener gave a series of lectures on Fourier analysis at the Univer sity of Cambridge. One result of Wiener's visit to Cambridge was his well-known text The Fourier Integral and Certain of its Applications; another was a paper by G. H. Hardy in the 1933 Journalofthe London Mathematical Society. As Hardy says in the introduction to this paper, This note originates from a remark of Prof. N. Wiener, to the effect that "a f and g [= j] cannot both be very small". ... The theo pair of transforms rems which follow give the most precise interpretation possible ofWiener's remark. Hardy's own statement of his results, lightly paraphrased, is as follows, in which f is an integrable function on the real line and f is its Fourier transform: x 2 m If f and j are both 0 (Ix1e- /2) for large x and some m, then each is a finite linear combination ofHermite functions. In particular, if f and j are x2 x 2 2 2 both O(e- / ), then f = j = Ae- / , where A is a constant; and if one x 2 2 is0(e- / ), then both are null.
An Elemenatary Treatise On Fourier S Series And Spherical Cylindrical And Ellipsoidal Harmonics With Applications To Problems In Mathematical Physics
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Author : William Elwood Byerly
language : en
Publisher:
Release Date : 1893
An Elemenatary Treatise On Fourier S Series And Spherical Cylindrical And Ellipsoidal Harmonics With Applications To Problems In Mathematical Physics written by William Elwood Byerly and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1893 with Fourier series categories.
Integral Transforms And Their Applications
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Author : B. Davies
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-27
Integral Transforms And Their Applications written by B. Davies and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-27 with Mathematics categories.
This book is intended to serve as introductory and reference material for the application of integral transforms to a range of common mathematical problems. It has its im mediate origin in lecture notes prepared for senior level courses at the Australian National University, although I owe a great deal to my colleague Barry Ninham, a matter to which I refer below. In preparing the notes for publication as a book, I have added a considerable amount of material ad- tional to the lecture notes, with the intention of making the book more useful, particularly to the graduate student - volved in the solution of mathematical problems in the physi cal, chemical, engineering and related sciences. Any book is necessarily a statement of the author's viewpoint, and involves a number of compromises. My prime consideration has been to produce a work whose scope is selective rather than encyclopedic; consequently there are many facets of the subject which have been omitted--in not a few cases after a preliminary draft was written--because I v believe that their inclusion would make the book too long.
Integrals And Operators
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Author : I.E. Segal
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Integrals And Operators written by I.E. Segal and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
TO THE SECOND EDITION Since publication of the First Edition several excellent treatments of advanced topics in analysis have appeared. However, the concentration and penetration of these treatises naturally require much in the way of technical preliminaries and new terminology and notation. There consequently remains a need for an introduction to some of these topics which would mesh with the material of the First Edition. Such an introduction could serve to exemplify the material further, while using it to shorten and simplify its presentation. It seemed particularly important as well as practical to treat briefly but cogently some of the central parts of operator algebra and higher operator theory, as these are presently represented in book form only with a degree of specialization rather beyond the immediate needs or interests of many readers. Semigroup and perturbation theory provide connections with the theory of partial differential equations. C*-algebras are important in har monic analysis and the mathematical foundations of quantum mechanics. W*-algebras (or von Neumann rings) provide an approach to the theory of multiplicity of the spectrum and some simple but key elements of the gram mar of analysis, of use in group representation theory and elsewhere. The v vi Preface to the Second Edition theory of the trace for operators on Hilbert space is both important in itself and a natural extension of earlier integration-theoretic ideas.