Fourier Analysis And Applications
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Journal Of Fourier Analysis And Applications Special Issue
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Author : John J. Benedetto
language : en
Publisher: CRC Press
Release Date : 1995-09-21
Journal Of Fourier Analysis And Applications Special Issue written by John J. Benedetto and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-09-21 with Mathematics categories.
At the end of June 1993, a Conference in Harmonic Analysis was held at the University of Paris-Sud to celebrate the role played by Jean-Pierre Kahane. The large variety of topics ranging from classical Harmonic Analysis to Probability Theory, reflects the intense mathematical curiosity and the broad mathematical interest of Kahane.
Fourier Analysis And Its Applications
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Author : G. B. Folland
language : en
Publisher: American Mathematical Soc.
Release Date : 2009
Fourier Analysis And Its Applications written by G. B. Folland and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
This book presents the theory and applications of Fourier series and integrals, eigenfunction expansions, and related topics, on a level suitable for advanced undergraduates. It includes material on Bessel functions, orthogonal polynomials, and Laplace transforms, and it concludes with chapters on generalized functions and Green's functions for ordinary and partial differential equations. The book deals almost exclusively with aspects of these subjects that are useful in physics and engineering, and includes a wide variety of applications. On the theoretical side, it uses ideas from modern analysis to develop the concepts and reasoning behind the techniques without getting bogged down in the technicalities of rigorous proofs.
Fourier Series Analysis And Applications
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Author : Umana Rafiq
language : en
Publisher: GRIN Verlag
Release Date : 2014-08-27
Fourier Series Analysis And Applications written by Umana Rafiq and has been published by GRIN Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-27 with Mathematics categories.
Scientific Essay from the year 2012 in the subject Mathematics - Analysis, grade: A, , language: English, abstract: Fourier Series, Fourier Analysis, Euler’s Formula for Coefficients, Periodic Functions, Trigonometric Series, Even Function, Odd Function, Properties of Functions, Fourier’s Cosine And Sine Series, Half Range Fourier Sine and Cosine Series, Examples, Complex form, Riemann-Zeta Function, Mathematical analysis, Perseval’s Formula, Piecewise smooth function, Bessel's inequality, Riemann lemma, Perseval’s Theorem, Propositions and Remarks, Gibbs Phenomenon, Physical Applications, Heat distribution in a metal plate, Square wave, Sawtooth wave, Full an Half wave Rectifier, Advantages and Conclusion.
Fourier Analysis And Applications
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Author : Claude Gasquet
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Fourier Analysis And Applications written by Claude Gasquet 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 2013-12-01 with Mathematics categories.
The object of this book is two-fold -- on the one hand it conveys to mathematical readers a rigorous presentation and exploration of the important applications of analysis leading to numerical calculations. On the other hand, it presents physics readers with a body of theory in which the well-known formulae find their justification. The basic study of fundamental notions, such as Lebesgue integration and theory of distribution, allow the establishment of the following areas: Fourier analysis and convolution Filters and signal analysis time-frequency analysis (gabor transforms and wavelets). The whole is rounded off with a large number of exercises as well as selected worked-out solutions.
Fourier Analysis And Its Applications
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Author : Anders Vretblad
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-07-17
Fourier Analysis And Its Applications written by Anders Vretblad 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 2003-07-17 with Mathematics categories.
This book presents the basic ideas in Fourier analysis and its applications to the study of partial differential equations. It also covers the Laplace and Zeta transformations and the fundaments of their applications. The author has intended to make his exposition accessible to readers with a limited background, for example, those not acquainted with the Lebesgue integral or with analytic functions of a complex variable. At the same time, he has included discussions of more advanced topics such as the Gibbs phenomenon, distributions, Sturm-Liouville theory, Cesaro summability and multi-dimensional Fourier analysis, topics which one usually will not find in books at this level. Many of the chapters end with a summary of their contents, as well as a short historical note. The text contains a great number of examples, as well as more than 350 exercises. In addition, one of the appendices is a collection of the formulas needed to solve problems in the field. Anders Vretblad is Senior Lecturer of Mathematics at Uppsala University, Sweden.
Fourier Analysis
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Author : Elias M. Stein
language : en
Publisher: Princeton University Press
Release Date : 2003-04-06
Fourier Analysis written by Elias M. Stein and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-04-06 with Mathematics categories.
This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis. It begins with the simple conviction that Fourier arrived at in the early nineteenth century when studying problems in the physical sciences--that an arbitrary function can be written as an infinite sum of the most basic trigonometric functions. The first part implements this idea in terms of notions of convergence and summability of Fourier series, while highlighting applications such as the isoperimetric inequality and equidistribution. The second part deals with the Fourier transform and its applications to classical partial differential equations and the Radon transform; a clear introduction to the subject serves to avoid technical difficulties. The book closes with Fourier theory for finite abelian groups, which is applied to prime numbers in arithmetic progression. In organizing their exposition, the authors have carefully balanced an emphasis on key conceptual insights against the need to provide the technical underpinnings of rigorous analysis. Students of mathematics, physics, engineering and other sciences will find the theory and applications covered in this volume to be of real interest. The Princeton Lectures in Analysis represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. Numerous examples and applications throughout its four planned volumes, of which Fourier Analysis is the first, highlight the far-reaching consequences of certain ideas in analysis to other fields of mathematics and a variety of sciences. Stein and Shakarchi move from an introduction addressing Fourier series and integrals to in-depth considerations of complex analysis; measure and integration theory, and Hilbert spaces; and, finally, further topics such as functional analysis, distributions and elements of probability theory.
Real Analysis And Applications
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Author : Frank Morgan
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Real Analysis And Applications written by Frank Morgan and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
Real Analysis and Applications starts with a streamlined, but complete approach to real analysis. It finishes with a wide variety of applications in Fourier series and the calculus of variations, including minimal surfaces, physics, economics, Riemannian geometry, and general relativity. The basic theory includes all the standard topics: limits of sequences, topology, compactness, the Cantor set and fractals, calculus with the Riemann integral, a chapter on the Lebesgue theory, sequences of functions, infinite series, and the exponential and Gamma functions. The applications conclude with a computation of the relativistic precession of Mercury's orbit, which Einstein called "convincing proof of the correctness of the theory [of General Relativity]." The text not only provides clear, logical proofs, but also shows the student how to come up with them. The excellent exercises come with select solutions in the back. Here is a text which makes it possible to do the full theory and significant applications in one semester. Frank Morgan is the author of six books and over one hundred articles on mathematics. He is an inaugural recipient of the Mathematical Association of America's national Haimo award for excellence in teaching. With this applied version of his Real Analysis text, Morgan brings his famous direct style to the growing numbers of potential mathematics majors who want to see applications right along with the theory.
Applications Of Discrete And Continuous Fourier Analysis
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Author : H. Joseph Weaver
language : en
Publisher:
Release Date : 1992
Applications Of Discrete And Continuous Fourier Analysis written by H. Joseph Weaver and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
Lectures On The Fourier Transform And Its Applications
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Author : Brad G. Osgood
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-01-18
Lectures On The Fourier Transform And Its Applications written by Brad G. Osgood and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-18 with Mathematics categories.
This book is derived from lecture notes for a course on Fourier analysis for engineering and science students at the advanced undergraduate or beginning graduate level. Beyond teaching specific topics and techniques—all of which are important in many areas of engineering and science—the author's goal is to help engineering and science students cultivate more advanced mathematical know-how and increase confidence in learning and using mathematics, as well as appreciate the coherence of the subject. He promises the readers a little magic on every page. The section headings are all recognizable to mathematicians, but the arrangement and emphasis are directed toward students from other disciplines. The material also serves as a foundation for advanced courses in signal processing and imaging. There are over 200 problems, many of which are oriented to applications, and a number use standard software. An unusual feature for courses meant for engineers is a more detailed and accessible treatment of distributions and the generalized Fourier transform. There is also more coverage of higher-dimensional phenomena than is found in most books at this level.
Higher Order Fourier Analysis And Applications
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Author : HAMED HATAMI; POOYA HATAMI; SHACHAR LOVETT.
language : en
Publisher:
Release Date :
Higher Order Fourier Analysis And Applications written by HAMED HATAMI; POOYA HATAMI; SHACHAR LOVETT. and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Algorithms categories.
This monograph describes applications of the theory of higher-order Fourier analysis in theoretical computer science, and to this end, presents the foundations of this theory through such applications, in particular to the area of property testing.