An Introduction To Fourier Analysis And Generalised Functions
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An Introduction To Fourier Analysis And Generalised Functions
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Author : Sir M. J. Lighthill
language : en
Publisher: Cambridge University Press
Release Date : 1958
An Introduction To Fourier Analysis And Generalised Functions written by Sir M. J. Lighthill and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with Mathematics categories.
"Clearly and attractively written, but without any deviation from rigorous standards of mathematical proof...." Science Progress
An Introduction To Fourier Analysis And Generalised Functions
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Author : M. J. Lighthill
language : en
Publisher:
Release Date : 1958
An Introduction To Fourier Analysis And Generalised Functions written by M. J. Lighthill and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with Mathematics categories.
"Clearly and attractively written, but without any deviation from rigorous standards of mathematical proof...." Science Progress
Introduction To Fourier Analysis And Generalised Functions
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Author : M. J. Lighthill
language : en
Publisher:
Release Date : 1970
Introduction To Fourier Analysis And Generalised Functions written by M. J. Lighthill and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with categories.
Introduction To Fourier Analysis And Generalised Functions
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Author : Michael James Lighthill
language : en
Publisher:
Release Date : 1960
Introduction To Fourier Analysis And Generalised Functions written by Michael James Lighthill and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Fourier series categories.
Introduction To Fourier Analysis And Generalised Functions
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Author : M. J. Lighthill
language : en
Publisher:
Release Date : 1958
Introduction To Fourier Analysis And Generalised Functions written by M. J. Lighthill and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with Fourier series categories.
Introduction To Fourier Analysis And Generalised Functions
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Author : Michael James Lighthill (Mathématicien)
language : en
Publisher:
Release Date : 1959
Introduction To Fourier Analysis And Generalised Functions written by Michael James Lighthill (Mathématicien) 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.
Introduction To Fourier Analysis And Generalised Functions
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Author : Sir M J Lighthill
language : en
Publisher: Hassell Street Press
Release Date : 2021-09-09
Introduction To Fourier Analysis And Generalised Functions written by Sir M J Lighthill and has been published by Hassell Street Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-09 with categories.
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Distribution Theory And Transform Analysis
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Author : A.H. Zemanian
language : en
Publisher: Courier Corporation
Release Date : 2011-11-30
Distribution Theory And Transform Analysis written by A.H. Zemanian and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-30 with Mathematics categories.
Distribution theory, a relatively recent mathematical approach to classical Fourier analysis, not only opened up new areas of research but also helped promote the development of such mathematical disciplines as ordinary and partial differential equations, operational calculus, transformation theory, and functional analysis. This text was one of the first to give a clear explanation of distribution theory; it combines the theory effectively with extensive practical applications to science and engineering problems. Based on a graduate course given at the State University of New York at Stony Brook, this book has two objectives: to provide a comparatively elementary introduction to distribution theory and to describe the generalized Fourier and Laplace transformations and their applications to integrodifferential equations, difference equations, and passive systems. After an introductory chapter defining distributions and the operations that apply to them, Chapter 2 considers the calculus of distributions, especially limits, differentiation, integrations, and the interchange of limiting processes. Some deeper properties of distributions, such as their local character as derivatives of continuous functions, are given in Chapter 3. Chapter 4 introduces the distributions of slow growth, which arise naturally in the generalization of the Fourier transformation. Chapters 5 and 6 cover the convolution process and its use in representing differential and difference equations. The distributional Fourier and Laplace transformations are developed in Chapters 7 and 8, and the latter transformation is applied in Chapter 9 to obtain an operational calculus for the solution of differential and difference equations of the initial-condition type. Some of the previous theory is applied in Chapter 10 to a discussion of the fundamental properties of certain physical systems, while Chapter 11 ends the book with a consideration of periodic distributions. Suitable for a graduate course for engineering and science students or for a senior-level undergraduate course for mathematics majors, this book presumes a knowledge of advanced calculus and the standard theorems on the interchange of limit processes. A broad spectrum of problems has been included to satisfy the diverse needs of various types of students.
Lecture Notes On The Mathematics Of Acoustics
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Author : Matthew C. M. Wright
language : en
Publisher: World Scientific
Release Date : 2005
Lecture Notes On The Mathematics Of Acoustics written by Matthew C. M. Wright and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Science categories.
Based on lectures given at a one week summer school held at the University of Southampton, July 2003.
Methods Of The Theory Of Generalized Functions
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Author : V. S. Vladimirov
language : en
Publisher: CRC Press
Release Date : 2002-08-15
Methods Of The Theory Of Generalized Functions written by V. S. Vladimirov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-08-15 with Mathematics categories.
This volume presents the general theory of generalized functions, including the Fourier, Laplace, Mellin, Hilbert, Cauchy-Bochner and Poisson integral transforms and operational calculus, with the traditional material augmented by the theory of Fourier series, abelian theorems, and boundary values of helomorphic functions for one and several variables. The author addresses several facets in depth, including convolution theory, convolution algebras and convolution equations in them, homogenous generalized functions, and multiplication of generalized functions. This book will meet the needs of researchers, engineers, and students of applied mathematics, control theory, and the engineering sciences.