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Abstract Harmonic Analysis - Dave Rusin; The Mathematical Atlas A short article designed to provide an introduction to abstract harmonic analysis: if Fourier series is the study of periodic real functions, which are invariant under the group of integer translations, then abstract harmonic analysis is the study of functions on general topological groups which are invariant under a (closed) subgroup. This includes topics of varying level of specificity, including analysis on Lie groups or locally compact abelian groups. This area also overlaps with representation theory of topological groups. One can carry over the development of Fourier series for functions on the circle and study the expansion of functions on the sphere; the basic functions then are the spherical harmonics. History; applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus. more>>

All Sites - 4 items found, showing 1 to 4

Le sommaire des Annales de l'Institut Fourier Les Annales de l'Institut Fourier sont une revue de mathématiques non spécialisée paraissant cinq fois par an. Elles publient des articles en français et en anglais. Vous pouvez consulter ici le sommaire de tous les volumes ...more>> Mathematics Journals: Electronic and Printed - Mathematics Dept., Penn State University Links to dozens of journals, from the Academic press electronic journal library to the Ulam Quarterly, and spanning printed journals from Abstract and Applied Analysis to the Zentralblatt für Mathematik. A link to the Bibliothèque Mathématique ...more>> Short Signal Harmonic Spectra and Approximation - Dmitriev E.V. The author writes: "Presently traditional ways to determine signal spectra are based on the expansion of functions in Fourier series or on their representation by Fourier integrals with applying a system of basis ORTHOGONAL functions. For the first time, ...more>> Tewodros Amdeberhan's Electronic Headquarters Tewodros Amdeberhan studies combinatorics, number theory, special functions, partial differential equations, computer algebra, algorithmic proof theory, and harmonic analysis. His articles on these topics, as well as some unpublished musings, are available ...more>>

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