Classical Fourier Analysis, Loukas Grafakos

Автор: Michael Oberguggenberger; Joachim Toft; Jasson Vin
Название: Generalized Functions and Fourier Analysis
ISBN: 3319519107 ISBN-13(EAN): 9783319519104
Издательство: Springer
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Описание: 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.

Автор: Kido, Ken`iti
Название: Digital fourier analysis - fundamentals
ISBN: 1461492599 ISBN-13(EAN): 9781461492597
Издательство: Springer
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Описание: This book covers the basic theory of the discrete and Fast Fourier transform and shows how they are implemented, using clear explanations and a large number of step-by-step illustrations. Includes practice problems.

Автор: Sogge
Название: Fourier Integrals in Classical Analysis
ISBN: 1107120071 ISBN-13(EAN): 9781107120075
Издательство: Cambridge Academ
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Описание: This advanced monograph, concerned with modern treatments of central problems in harmonic analysis, explores the interplay between ideas used to study the propagation of singularities for the wave equation and their counterparts in classical analysis. New chapters discuss the Duistermaat-Guillemin theorem and results related to the Kakeya conjecture.

Автор: Komaravolu Chandrasekharan
Название: Classical Fourier Transforms
ISBN: 3540502483 ISBN-13(EAN): 9783540502487
Издательство: Springer
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Описание: In gratefuZ remerribrance of Marston Morse and John von Neumann This text formed the basis of an optional course of lectures I gave in German at the Swiss Federal Institute of Technology (ETH), Zlirich, during the Wintersemester of 1986-87, to undergraduates whose interests were rather mixed, and who were supposed, in general, to be acquainted with only the rudiments of real and complex analysis. The choice of material and the treatment were linked to that supposition. The idea of publishing this originated with Dr. Joachim Heinze of Springer- Verlag. I have, in response, checked the text once more, and added some notes and references. My warm thanks go to Professor Raghavan Narasimhan and to Dr. Albert Stadler, for their helpful and careful scrutiny of the manuscript, which resulted in the removal of some obscurities, and to Springer-Verlag for their courtesy and cooperation. I have to thank Dr. Stadler also for his assistance with the diagrams and with the proof-reading. Zlirich, September, 1987 K. C. Contents Chapter I. Fourier transforms on L (-oo, oo) 1 1. Basic properties and examples -. -----. . --. . -. -. . . -. -. . -. . . . - 1 2. The L 1-algebra --. . . . . . . ----. . --. -. . --. . --. . -. . . --. . . . --. -. . 16 3. Differentiabili ty properties . . . ---. -. -------. . . . ----. -. . . -. 18 4. Localization, Mellin transforms . . . . . . -. -. . . . . . -. . . . . . -. . -. . 25 5. Fourier series and Poisson's summation formula . . . . . . . --. --. . 32 6. The uniqueness theorem . . . . . . . -. . . . . . . . . . . -. . . . -. . . . . . . . . . . .

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: Luca Brandolini; Leonardo Colzani; Alex Iosevich;
Название: Fourier Analysis and Convexity
ISBN: 0817632638 ISBN-13(EAN): 9780817632632
Издательство: Springer
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Описание: in the past, study of this relationship has led to important mathematical advancesPresents new results and applications to diverse fields such as geometry, number theory, and analysisContributors are leading experts in their respective fieldsWill be of interest to both pure and applied mathematicians

Автор: Mattila
Название: Fourier Analysis and Hausdorff Dimension
ISBN: 1107107350 ISBN-13(EAN): 9781107107359
Издательство: Cambridge Academ
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Описание: During the past two decades there has been active interplay between geometric measure theory and Fourier analysis. This book for graduate students and researchers describes part of that development, concentrating on the relationship between the Fourier transform and Hausdorff dimension. It covers classical results as well as cutting-edge research.

Автор: Luca Brandolini; Leonardo Colzani; Alex Iosevich;
Название: Fourier Analysis and Convexity
ISBN: 146126474X ISBN-13(EAN): 9781461264743
Издательство: Springer
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Цена: 6986.00 р.
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Описание: in the past, study of this relationship has led to important mathematical advancesPresents new results and applications to diverse fields such as geometry, number theory, and analysisContributors are leading experts in their respective fieldsWill be of interest to both pure and applied mathematicians

Автор: Dyke, P. P. G.
Название: An Introduction to Laplace transforms and Fourier series
ISBN: 1852330155 ISBN-13(EAN): 9781852330156
Издательство: Springer
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Описание: This introduction to Laplace transforms and Fourier series is aimed at second year students in applied mathematics. Mathematics students do not usually meet this material until later in their degree course but applied mathematicians and engineers need an early introduction.