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Harmonic analysis and discrete potential theory

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Published by Plenum Press in New York .
Written in English

Subjects:

  • Harmonic analysis,
  • Potential theory (Mathematics)

Book details:

Edition Notes

Statementedited by Massimo A. Picardello.
ContributionsPicardello, Massimo A., 1949-
Classifications
LC ClassificationsQA403 .H22 1992
The Physical Object
Paginationviii, 302 p. ;
Number of Pages302
ID Numbers
Open LibraryOL1736358M
ISBN 100306442256
LC Control Number92041405

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ISBN: OCLC Number: Notes: "Proceedings of a international meeting on harmonic analysis and discrete potential theory, held July , , in Frascati (Rome), Italy"--Title page verso. This self-contained book introduces readers to discrete harmonic analysis with an emphasis on the Discrete Fourier Transform and the Fast Fourier Transform on finite groups and finite fields, as well as their noncommutative versions. It also features applications to number theory, graph theory, and representation theory of finite : Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli. This book provides an introduction to discrete harmonic analysis (DHA) with a view towards applications to digital signal processing. In a nutshell, DHA is used to determine the time-frequency structure of a digitized signal, providing a representation of the signal as a sum of spectral components that can then be analyzed. Harmonic analysis is a branch of mathematics concerned with the representation of functions or signals as the superposition of basic waves, and the study of and generalization of the notions of Fourier series and Fourier transforms (i.e. an extended form of Fourier analysis).In the past two centuries, it has become a vast subject with applications in areas as diverse as number theory.

The breakthrough achieved by Tao and Green is attributed to applications of techniques from ergodic theory and harmonic analysis to problems in number theory. Articles in the present volume are based on talks delivered by plenary speakers at a conference on Harmonic Analysis and Ergodic Theory (DePaul University, Chicago, December 2–4, ). Therefore the book is addressed not only to experts in harmonic analysis, summability of Fourier series and singular integrals, but also in potential theory, symmetric spaces, analysis and partial differential equations on Riemannian manifolds, analysis on graphs, trees, buildings and discrete groups, Lie groups and Lie algebras, and even in. Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than contrast to real numbers that have the property of varying "smoothly", the objects studied in discrete mathematics – such as integers, graphs, and statements in logic – do not vary smoothly in this way, but have distinct, separated values. This self-contained text is ideal for graduate students and researchers working in the areas of representation theory, group theory, harmonic analysis and Markov chains. Its topics range from the basic theory needed for students new to this area, to advanced topics such as the theory of Green's algebras, the complete analysis of the random.

  This self-contained book introduces readers to discrete harmonic analysis with an emphasis on the Discrete Fourier Transform and the Fast Fourier Transform on finite groups and finite fields, as well as their noncommutative versions. It also features applications to number theory, graph theory, and representation theory of finite groups. Electronic books: Additional Physical Format: Print version: Harmonic analysis and discrete potential theory. New York: Plenum Press, © (DLC) (OCoLC) Material Type: Document, Internet resource: Document Type: Internet Resource, Computer File: All Authors / Contributors: Massimo A Picardello.   Discrete Harmonic Analysis: Representations, Number Theory, Expanders, and the Fourier Transform (Cambridge Studies in Advanced Mathematics Book ) - Kindle edition by Ceccherini-Silberstein, Tullio, Scarabotti, Fabio, Tolli, Filippo. Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Discrete Manufacturer: Cambridge University Press. Discrete Harmonic Analysis: Representations, Number Theory, Expanders, and the Fourier Transform | Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli | download | B–OK. Download books for free. Find books.