Free Download Robert J. Valenza, "Fourier Analysis on Number Fields"
English | 1999 | pages: 372 | ISBN: 147573087X, 0387984364 | PDF | 24,6 mb
The general aim of this book is to provide a modern approach to number theory through a blending of complementary algebraic and analytic perspectives, emphasizing harmonic analysis on topological groups. The more particular goal is to cover John Tate's visionary thesis, giving virtually all of the necessary analytic details and topological preliminaries-technical prerequisites that are often foreign to the typical, more algebraically inclinded number theorist.

Chowdhury S Numerical Exploration of Fourier Transform and Fourier Series 2024 | 1.33 MB
N/A | 113 Pages

Title: N/A
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Free Download Representations of SU(2,1) in Fourier Term Modules by Roelof W. Bruggeman , Roberto J. Miatello
English | PDF EPUB (True) | 2023 | 217 Pages | ISBN : 303143191X | 30 MB
This book studies the modules arising in Fourier expansions of automorphic forms, namely Fourier term modules on SU(2,1), the smallest rank one Lie group with a non-abelian unipotent subgroup. It considers the "abelian" Fourier term modules connected to characters of the maximal unipotent subgroups of SU(2,1), and also the "non-abelian" modules, described via theta functions. A complete description of the submodule structure of all Fourier term modules is given, with a discussion of the consequences for Fourier expansions of automorphic forms, automorphic forms with exponential growth included.

Free Download 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.

Free Download Fast Fourier Transform and Convolution Algorithms by Henri J. Nussbaumer
English | PDF | 1982 | 286 Pages | ISBN : 354011825X | 20.3 MB
In the first edition of this book, we covered in Chapter 6 and 7 the applications to multidimensional convolutions and DFT's of the transforms which we have introduced, back in 1977, and called polynomial transforms. Since the publication of the first edition of this book, several important new developments concerning the polynomial transforms have taken place, and we have included, in this edition, a discussion of the relationship between DFT and convolution polynomial transform algorithms. This material is covered in Appendix A, along with a presentation of new convolution polynomial transform algorithms and with the application of polynomial transforms to the computation of multidimensional cosine transforms. We have found that the short convolution and polynomial product algorithms of Chap. 3 have been used extensively. This prompted us to include, in this edition, several new one-dimensional and two-dimensional polynomial product algorithms which are listed in Appendix B. Since our book is being used as part of several graduate-level courses taught at various universities, we have added, to this edition, a set of problems which cover Chaps. 2 to 8. Some of these problems serve also to illustrate some research work on DFT and convolution algorithms. I am indebted to Mrs A. Schlageter who prepared the manuscript of this second edition. Lausanne HENRI J. NUSSBAUMER April 1982 Preface to the First Edition This book presents in a unified way the various fast algorithms that are used for the implementation of digital filters and the evaluation of discrete Fourier transforms.

Plonka G Numerical Fourier Analysis 2ed 2023 | 17.81 MB
N/A | 676 Pages

Title: Numerical Fourier Analysis
Author: N/A
Year: N/A

Free Download Fourier Transforms, Filtering, Probability and Random Processes: Introduction to Communication Systems
English | 2023 | ISBN: 3031195795 | 246 Pages | PDF EPUB (True) | 12 MB
This book provides the background and the mathematical methods necessary to understand the basic transforms in signal processing and linear systems and probability and random processes to prepare for in depth study of analog and digital communications systems.

Gibson J Fourier Transforms, Filtering, Probability and Random Processes 2023 | 1.98 MB
English | 161 Pages

Title: Introduction to Probability, Statistics, and Random Processes
Author: Hossein Pishro-Nik
Year: 2014

Goldberg R Fourier Transforms 1970 | 3.05 MB
English | 84 Pages

Title: Fourier Transforms (Cambridge Tracts in Mathematics, Series Number 52)
Author: Richard R. Goldberg
Year: 2009

Beerends R Fourier and Laplace Transforms 2003 | 2.09 MB
English | 459 Pages

Title: Fourier and Laplace Transforms
Author: R. J. Beerends, H. G. ter Morsche, J. C. van den Berg and E. M. van de Vrie
Year: 2003