Author: Sir M. J. Lighthill
Publisher: Cambridge University Press
ISBN: 9780521091282
Category : Mathematics
Languages : en
Pages : 112
Book Description
"Clearly and attractively written, but without any deviation from rigorous standards of mathematical proof...." Science Progress
An Introduction to Fourier Analysis and Generalised Functions
Author: Sir M. J. Lighthill
Publisher: Cambridge University Press
ISBN: 9780521091282
Category : Mathematics
Languages : en
Pages : 112
Book Description
"Clearly and attractively written, but without any deviation from rigorous standards of mathematical proof...." Science Progress
Publisher: Cambridge University Press
ISBN: 9780521091282
Category : Mathematics
Languages : en
Pages : 112
Book Description
"Clearly and attractively written, but without any deviation from rigorous standards of mathematical proof...." Science Progress
Introduction to Fourier Analysis and Generalised Functions
Author: Sir M. J. Lighthill
Publisher:
ISBN:
Category : Fourier analysis
Languages : en
Pages : 96
Book Description
Publisher:
ISBN:
Category : Fourier analysis
Languages : en
Pages : 96
Book Description
Introduction to Fourier Analysis and Generalized Functions
Author: M. J. Lighthill
Publisher:
ISBN: 9780054091285
Category :
Languages : en
Pages : 79
Book Description
Publisher:
ISBN: 9780054091285
Category :
Languages : en
Pages : 79
Book Description
Introduction to Fourier Analysis and Generalised Functions
Introduction to Fourier Analysis and Generalized Functions
Introduction to Fourier Analysis and Generalised Functions
Author: Sir M J Lighthill
Publisher: Hassell Street Press
ISBN: 9781013715624
Category :
Languages : en
Pages : 92
Book Description
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.
Publisher: Hassell Street Press
ISBN: 9781013715624
Category :
Languages : en
Pages : 92
Book Description
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.
Generalized Functions and Fourier Analysis
Author: Michael Oberguggenberger
Publisher: Birkhäuser
ISBN: 3319519115
Category : Mathematics
Languages : en
Pages : 276
Book Description
This book gives an excellent and up-to-date overview on the convergence and joint progress in the fields of Generalized Functions and Fourier Analysis, notably in the core disciplines of pseudodifferential operators, microlocal analysis and time-frequency analysis. The volume is a collection of chapters addressing these fields, their interaction, their unifying concepts and their applications and is based on scientific activities related to the International Association for Generalized Functions (IAGF) and the ISAAC interest groups on Pseudo-Differential Operators (IGPDO) and on Generalized Functions (IGGF), notably on the longstanding collaboration of these groups within ISAAC.
Publisher: Birkhäuser
ISBN: 3319519115
Category : Mathematics
Languages : en
Pages : 276
Book Description
This book gives an excellent and up-to-date overview on the convergence and joint progress in the fields of Generalized Functions and Fourier Analysis, notably in the core disciplines of pseudodifferential operators, microlocal analysis and time-frequency analysis. The volume is a collection of chapters addressing these fields, their interaction, their unifying concepts and their applications and is based on scientific activities related to the International Association for Generalized Functions (IAGF) and the ISAAC interest groups on Pseudo-Differential Operators (IGPDO) and on Generalized Functions (IGGF), notably on the longstanding collaboration of these groups within ISAAC.
A First Course in Fourier Analysis
Author: David W. Kammler
Publisher: Cambridge University Press
ISBN: 0521883407
Category : Mathematics
Languages : en
Pages : 863
Book Description
This book introduces applied mathematics through Fourier analysis, with applications to studying sampling theory, PDEs, probability, diffraction, musical tones, and wavelets.
Publisher: Cambridge University Press
ISBN: 0521883407
Category : Mathematics
Languages : en
Pages : 863
Book Description
This book introduces applied mathematics through Fourier analysis, with applications to studying sampling theory, PDEs, probability, diffraction, musical tones, and wavelets.
Distribution Theory and Transform Analysis
Author: A.H. Zemanian
Publisher: Courier Corporation
ISBN: 0486151948
Category : Mathematics
Languages : en
Pages : 400
Book Description
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.
Publisher: Courier Corporation
ISBN: 0486151948
Category : Mathematics
Languages : en
Pages : 400
Book Description
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.
Generalized Functions and Fourier Analysis
Author: John L. Challifour
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 208
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 208
Book Description