Fourier Analysis

Classical Fourier Analysis (Repost)  eBooks & eLearning

Posted by AvaxGenius at March 21, 2022
Classical Fourier Analysis (Repost)

Classical Fourier Analysis by Loukas Grafakos
English | PDF | 2008 | 494 Pages | ISBN : 0387094318 | 4.9 MB

The primary goal of these two volumes is to present the theoretical foundation of the field of Euclidean Harmonic analysis. The original edition was published as a single volume, but due to its size, scope, and the addition of new material, the second edition consists of two volumes. The present edition contains a new chapter on time-frequency analysis and the Carleson-Hunt theorem.

Numerical Fourier Analysis, Second Edition  eBooks & eLearning

Posted by AvaxGenius at Nov. 9, 2023
Numerical Fourier Analysis, Second Edition

Numerical Fourier Analysis, Second Edition by Gerlind Plonka , Daniel Potts , Gabriele Steidl , Manfred Tasche
English | PDF EPUB (True) | 2023 | 676 Pages | ISBN : 3031350049 | 80.2 MB

New technological innovations and advances in research in areas such as spectroscopy, computer tomography, signal processing, and data analysis require a deep understanding of function approximation using Fourier methods. To address this growing need, this monograph combines mathematical theory and numerical algorithms to offer a unified and self-contained presentation of Fourier analysis.

Exercises in Fourier Analysis  eBooks & eLearning

Posted by arundhati at May 28, 2020
Exercises in Fourier Analysis

T. W. Körner, "Exercises in Fourier Analysis"
English | ISBN: 0521432766 | | 395 pages | PDF | 14 MB

Fourier Analysis and Stochastic Processes  eBooks & eLearning

Posted by arundhati at Feb. 2, 2021
Fourier Analysis and Stochastic Processes

Pierre Brémaud, "Fourier Analysis and Stochastic Processes "
English | ISBN: 3319095897 | 2014 | 398 pages | EPUB | 8 MB

Methods of Fourier Analysis and Approximation Theory  eBooks & eLearning

Posted by arundhati at May 31, 2020
Methods of Fourier Analysis and Approximation Theory

Michael Ruzhansky, "Methods of Fourier Analysis and Approximation Theory "
English | ISBN: 3319274651 | 2016 | 258 pages | PDF | 3 MB

Principles of Fourier Analysis, 2nd Edition  eBooks & eLearning

Posted by readerXXI at June 14, 2022
Principles of Fourier Analysis, 2nd Edition

Principles of Fourier Analysis, 2nd Edition
by Kenneth B. Howell
English | 2017 | ISBN: 149873409X | 805 Pages | True PDF | 10.6 MB

Partial Differential Equations: Topics in Fourier Analysis  eBooks & eLearning

Posted by roxul at Oct. 10, 2020
Partial Differential Equations: Topics in Fourier Analysis

M.W. Wong, "Partial Differential Equations: Topics in Fourier Analysis"
English | ISBN: 1466584017 | 2013 | 184 pages | PDF | 4 MB

Fourier Analysis: An Introduction  eBooks & eLearning

Posted by arundhati at March 2, 2021
Fourier Analysis: An Introduction

Elias M. Stein, "Fourier Analysis: An Introduction "
English | ISBN: 7510340519 | 2003 | 320 pages | PDF | 22 MB

An Introduction to Basic Fourier Series  eBooks & eLearning

Posted by AvaxGenius at Jan. 9, 2024
An Introduction to Basic Fourier Series

An Introduction to Basic Fourier Series by Sergei K. Suslov
English | PDF | 2003 | 379 Pages | ISBN : 1402012217 | 25.6 MB

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.

Foundations of Time-Frequency Analysis  eBooks & eLearning

Posted by AvaxGenius at Feb. 20, 2022
Foundations of Time-Frequency Analysis

Foundations of Time-Frequency Analysis by Karlheinz Gröchenig
English | PDF | 2001 | 367 Pages | ISBN : 0817640223 | 25.8 MB

Time-frequency analysis is a modern branch of harmonic analysis. It com­ prises all those parts of mathematics and its applications that use the struc­ ture of translations and modulations (or time-frequency shifts) for the anal­ ysis of functions and operators. Time-frequency analysis is a form of local Fourier analysis that treats time and frequency simultaneously and sym­ metrically. My goal is a systematic exposition of the foundations of time-frequency analysis, whence the title of the book.