Lectures on the Fourier Transform and Its Applications, Brad G. Osgood

Автор: Wiener, Norbert
Название: The Fourier Integral and Certain of its Applications
ISBN: 0521358841 ISBN-13(EAN): 9780521358842
Издательство: Cambridge Academ
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Описание: 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.

Автор: Bracewell
Название: The Fourier Transform And Its Applications
ISBN: 0071160434 ISBN-13(EAN): 9780071160438
Издательство: McGraw-Hill
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Описание: Intended for use in a senior undergraduate or graduate level course in Fourier Transforms. This text applies mathematical concepts to the physical world, equipping students to think about the world and physics in terms of transforms. It includes such tools as the pictorial dictionary of transforms and bibliographic references.

Автор: Anders Vretblad
Название: Fourier Analysis and Its Applications
ISBN: 1441918418 ISBN-13(EAN): 9781441918413
Издательство: Springer
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Описание: TheclassicaltheoryofFourierseriesandintegrals, aswellasLaplacetra- forms, is of great importance for physical and technical applications, and its mathematical beauty makes it an interesting study for pure mathema- cians as well. I have taught courses on these subjects for decades to civil engineeringstudents, andalsomathematicsmajors, andthepresentvolume can be regarded as my collected experiences from this work. There is, of course, an unsurpassable book on Fourier analysis, the tr- tise by Katznelson from 1970. That book is, however, aimed at mathem- ically very mature students and can hardly be used in engineering courses. Ontheotherendofthescale, thereareanumberofmore-or-lesscookbo- styled books, where the emphasis is almost entirely on applications. I have felt the need for an alternative in between these extremes: a text for the ambitious and interested student, who on the other hand does not aspire to become an expert in the ?eld. There do exist a few texts that ful?ll these requirements (see the literature list at the end of the book), but they do not include all the topics I like to cover in my courses, such as Laplace transforms and the simplest facts about distributi

Автор: J.S. Byrnes
Название: Recent Advances in Fourier Analysis and Its Applications
ISBN: 9401067848 ISBN-13(EAN): 9789401067843
Издательство: Springer
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Описание: Proceedings of the NATO Advanced Study Institute on Fourier Analysis and its Applications, Il Ciocco, Italy, July 16-29, 1989

Автор: Robert Vich
Название: Z Transform Theory and Applications
ISBN: 9027719179 ISBN-13(EAN): 9789027719171
Издательство: Springer
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Автор: Nagel Alexander, Stein Elias M.
Название: Lectures on Pseudo-Differential Operators: Regularity Theorems and Applications to Non-Elliptic Problems. (MN-24)
ISBN: 0691601097 ISBN-13(EAN): 9780691601090
Издательство: Wiley
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Описание: The theory of pseudo-differential operators (which originated as singular integral operators) was largely influenced by its application to function theory in one complex variable and regularity properties of solutions of elliptic partial differential equations. Given here is an exposition of some new classes of pseudo-differential operators relevan

Автор: Qian
Название: Mathematical Analysis, Probability and Applications – Plenary Lectures
ISBN: 3319419439 ISBN-13(EAN): 9783319419435
Издательство: Springer
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Описание: This book collects lectures given by the plenary speakers at the 10th International ISAAC Congress, held in Macau, China in 2015. The contributions, authored by eminent specialists, present some of the most exciting recent developments in mathematical analysis, probability theory, and related applications. Topics include: partial differential equations in mathematical physics, Fourier analysis, probability and Brownian motion, numerical analysis, and reproducing kernels. The volume also presents a lecture on the visual exploration of complex functions using the domain coloring technique. Thanks to the accessible style used, readers only need a basic command of calculus.

Автор: William A. Schwalm
Название: Lectures on Selected Topics in Mathematical Physics: Introduction to Lie Theory with Applications
ISBN: 1681744481 ISBN-13(EAN): 9781681744483
Издательство: Mare Nostrum (Eurospan)
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Описание: This book provides an introduction to Lie Theory for first year graduate students and professional physicists who may not have across the theory in their studies. In particular, it is a summary overview of the theory of finite groups, a brief description of a manifold, and then an informal development of the theory of one-parameter Lie groups, especially as they apply to ordinary differential equations. The treatment is informal, but systematic and reasonably self-contained, as it assumes a familiarity with basic physics and applied calculus, but it does not assume additional mathematical training. Interested readers should have a fair chance of finding symmetries of a second order differential equation and should be able to use it to reduce the order of the differential equation.

Автор: Luigi G. Rodino; Joachim Toft
Название: Mathematical Analysis and Applications—Plenary Lectures
ISBN: 3030131513 ISBN-13(EAN): 9783030131517
Издательство: Springer
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Описание: This book includes the texts of the survey lectures given by plenary speakers at the 11th International ISAAC Congress held in V?xj?, Sweden, on 14-18 August, 2017. It is the purpose of ISAAC to promote analysis, its applications, and its interaction with computation. Analysis is understood here in the broad sense of the word, including differential equations, integral equations, functional analysis, and function theory. With this objective, ISAAC organizes international Congresses for the presentation and discussion of research on analysis.The plenary lectures in the present volume, authored by eminent specialists, are devoted to some exciting recent developments, topics including: local solvability for subprincipal type operators; fractional-order Laplacians; degenerate complex vector fields in the plane; lower bounds for pseudo-differential operators; a survey on Morrey spaces; localization operators in Signal Theory and Quantum Mechanics. Thanks to the accessible style used, readers only need a basic command of Calculus.This book will appeal to scientists, teachers, and graduate students in Mathematics, in particular Mathematical Analysis, Probability and Statistics, Numerical Analysis and Mathematical Physics.

Автор: Sinitsyn Igor, Pugachev V S
Название: Lectures On Functional Analysis And Applications (Second Edition)
ISBN: 981320317X ISBN-13(EAN): 9789813203174
Издательство: World Scientific Publishing
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Описание: This volume is not only intended for mathematicians who deal with applications of functional analysis, but also for those having only a moderate background in mathematics in their areas of work.The materials covered, which includes practically all the information on functional analysis that may be necessary for those working in various areas of mathematics applications, as well as the simplicity of presentation, differentiates this book from others. The method and style of presentation of materials make it digestible and easily understood by readers.This second edition includes new and updated 300 examples and more than 500 problems to help readers understand and master the theories presented. In addition, necessary improvements for bringing the contents more up to date with current fundamental and applied developments in Chapters 1-10 were made. Now, Chapter 9 covers nonlinear and stochastic problems and Chapter 10, devoted to elements of numerical functional analysis, has been completely revised and broadened.

Автор: Sinitsyn Igor, Pugachev V S
Название: Lectures On Functional Analysis And Applications (Second Edition)
ISBN: 9813203188 ISBN-13(EAN): 9789813203181
Издательство: World Scientific Publishing
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Описание: This volume is not only intended for mathematicians who deal with applications of functional analysis, but also for those having only a moderate background in mathematics in their areas of work.The materials covered, which includes practically all the information on functional analysis that may be necessary for those working in various areas of mathematics applications, as well as the simplicity of presentation, differentiates this book from others. The method and style of presentation of materials make it digestible and easily understood by readers.This second edition includes new and updated 300 examples and more than 500 problems to help readers understand and master the theories presented. In addition, necessary improvements for bringing the contents more up to date with current fundamental and applied developments in Chapters 1-10 were made. Now, Chapter 9 covers nonlinear and stochastic problems and Chapter 10, devoted to elements of numerical functional analysis, has been completely revised and broadened.

Автор: Luigi G. Rodino; Joachim Toft
Название: Mathematical Analysis and Applications—Plenary Lectures
ISBN: 3030008738 ISBN-13(EAN): 9783030008734
Издательство: Springer
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Цена: 111790.00 T
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Описание: This book includes the texts of the survey lectures given by plenary speakers at the 11th International ISAAC Congress held in V?xj?, Sweden, on 14-18 August, 2017. It is the purpose of ISAAC to promote analysis, its applications, and its interaction with computation. Analysis is understood here in the broad sense of the word, including differential equations, integral equations, functional analysis, and function theory. With this objective, ISAAC organizes international Congresses for the presentation and discussion of research on analysis.The plenary lectures in the present volume, authored by eminent specialists, are devoted to some exciting recent developments, topics including: local solvability for subprincipal type operators; fractional-order Laplacians; degenerate complex vector fields in the plane; lower bounds for pseudo-differential operators; a survey on Morrey spaces; localization operators in Signal Theory and Quantum Mechanics. Thanks to the accessible style used, readers only need a basic command of Calculus.This book will appeal to scientists, teachers, and graduate students in Mathematics, in particular Mathematical Analysis, Probability and Statistics, Numerical Analysis and Mathematical Physics.