Fourier Series
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Fourier Series
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Author : Georgi P. Tolstov
language : en
Publisher: Courier Corporation
Release Date : 2012-03-14
Fourier Series written by Georgi P. Tolstov and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-14 with Mathematics categories.
This reputable translation covers trigonometric Fourier series, orthogonal systems, double Fourier series, Bessel functions, the Eigenfunction method and its applications to mathematical physics, operations on Fourier series, and more. Over 100 problems. 1962 edition.
An Introduction To Basic Fourier Series
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Author : Sergei Suslov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
An Introduction To Basic Fourier Series written by Sergei Suslov 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 2013-03-09 with Mathematics categories.
It was with the publication of Norbert Wiener's book ''The Fourier In tegral and Certain of Its Applications" [165] in 1933 by Cambridge Univer sity Press that the mathematical community came to realize that there is an alternative approach to the study of c1assical Fourier Analysis, namely, through the theory of c1assical orthogonal polynomials. Little would he know at that time that this little idea of his would help usher in a new and exiting branch of c1assical analysis called q-Fourier Analysis. Attempts at finding q-analogs of Fourier and other related transforms were made by other authors, but it took the mathematical insight and instincts of none other then Richard Askey, the grand master of Special Functions and Orthogonal Polynomials, to see the natural connection between orthogonal polynomials and a systematic theory of q-Fourier Analysis. The paper that he wrote in 1993 with N. M. Atakishiyev and S. K Suslov, entitled "An Analog of the Fourier Transform for a q-Harmonic Oscillator" [13], was probably the first significant publication in this area. The Poisson k~rnel for the contin uous q-Hermite polynomials plays a role of the q-exponential function for the analog of the Fourier integral under considerationj see also [14] for an extension of the q-Fourier transform to the general case of Askey-Wilson polynomials. (Another important ingredient of the q-Fourier Analysis, that deserves thorough investigation, is the theory of q-Fourier series.
An Introduction To Fourier Series And Integrals
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Author : Robert T. Seeley
language : en
Publisher: Courier Corporation
Release Date : 2014-02-20
An Introduction To Fourier Series And Integrals written by Robert T. Seeley and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-20 with Mathematics categories.
A compact, sophomore-to-senior-level guide, Dr. Seeley's text introduces Fourier series in the way that Joseph Fourier himself used them: as solutions of the heat equation in a disk. Emphasizing the relationship between physics and mathematics, Dr. Seeley focuses on results of greatest significance to modern readers. Starting with a physical problem, Dr. Seeley sets up and analyzes the mathematical modes, establishes the principal properties, and then proceeds to apply these results and methods to new situations. The chapter on Fourier transforms derives analogs of the results obtained for Fourier series, which the author applies to the analysis of a problem of heat conduction. Numerous computational and theoretical problems appear throughout the text.
Introduction To Fourier Series
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Author : Rupert Lasser
language : en
Publisher: CRC Press
Release Date : 2020-08-12
Introduction To Fourier Series written by Rupert Lasser and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-12 with Mathematics categories.
This work addresses all of the major topics in Fourier series, emphasizing the concept of approximate identities and presenting applications, particularly in time series analysis. It stresses throughout the idea of homogenous Banach spaces and provides recent results. Techniques from functional analysis and measure theory are utilized.;College and university bookstores may order five or more copies at a special student price, available on request from Marcel Dekker, Inc.
Fourier Series And Integral Transforms
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Author : Sreenadh S./ Ranganatham S./ Prasad M.V.S.S.N. & Babu, Ramesh V.
language : en
Publisher: S. Chand Publishing
Release Date : 2014
Fourier Series And Integral Transforms written by Sreenadh S./ Ranganatham S./ Prasad M.V.S.S.N. & Babu, Ramesh V. and has been published by S. Chand Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Science categories.
For the Students of B.A., B.Sc. (Third Year) as per UGC MODEL CURRICULUM
Fourier Series
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Author : Ian Naismith Sneddon
language : en
Publisher:
Release Date : 1961
Fourier Series written by Ian Naismith Sneddon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Fourier series categories.
Fourier Series Fourier Transforms And Function Spaces
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Author : Tim Hsu
language : en
Publisher: American Mathematical Society
Release Date : 2023-12-07
Fourier Series Fourier Transforms And Function Spaces written by Tim Hsu and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-07 with Mathematics categories.
Fourier Series, Fourier Transforms, and Function Spaces is designed as a textbook for a second course or capstone course in analysis for advanced undergraduate or beginning graduate students. By assuming the existence and properties of the Lebesgue integral, this book makes it possible for students who have previously taken only one course in real analysis to learn Fourier analysis in terms of Hilbert spaces, allowing for both a deeper and more elegant approach. This approach also allows junior and senior undergraduates to study topics like PDEs, quantum mechanics, and signal processing in a rigorous manner. Students interested in statistics (time series), machine learning (kernel methods), mathematical physics (quantum mechanics), or electrical engineering (signal processing) will find this book useful. With 400 problems, many of which guide readers in developing key theoretical concepts themselves, this text can also be adapted to self-study or an inquiry-based approach. Finally, of course, this text can also serve as motivation and preparation for students going on to further study in analysis.
Fourier Series And Transforms
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Author : R.D Harding
language : en
Publisher: CRC Press
Release Date : 2019-09-16
Fourier Series And Transforms written by R.D Harding and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-16 with Mathematics categories.
This book helps in giving a qualitative feel for the properties of Fourier series and Fourier transforms by using the illustrative powers of computer graphics. It is useful for wide variety of students as it focuses on qualitative aspects and the flexibility with regard to program modification.
Fourier Series
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Author : G. H. Hardy
language : en
Publisher: Courier Corporation
Release Date : 2013-05-27
Fourier Series written by G. H. Hardy and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-27 with Mathematics categories.
Classic graduate-level text discusses the Fourier series in Hilbert space, examines further properties of trigonometrical Fourier series, and concludes with a detailed look at the applications of previously outlined theorems. 1956 edition.
Fourier Series And Wavelets
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Author : Jean-Pierre Kahane
language : en
Publisher: Routledge
Release Date : 1995
Fourier Series And Wavelets written by Jean-Pierre Kahane and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
Consists of two sections: the first, by Jean-Pierre Kahane, deals with Fourier series in the classical sense; the second, by Pierre-Gilles Lemarié-Rieusset, expounds the modern theory of wavelets. Includes original papers by Fourier, Dirichlet, Riemann, and Cantor.