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Cover: 9780521457187 | Fourier Analysis on Finite Groups and Applications | Audrey Terras
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Fourier Analysis on Finite Groups and Applications
Taschenbuch von Audrey Terras
Sprache: Englisch

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Beschreibung
A friendly introduction to Fourier analysis on finite groups, accessible to undergraduates/graduates in mathematics, engineering and the physical sciences.
A friendly introduction to Fourier analysis on finite groups, accessible to undergraduates/graduates in mathematics, engineering and the physical sciences.
Inhaltsverzeichnis
Introduction; Cast of characters; Part I: 1. Congruences and the quotient ring of the integers mod n; 1.2 The discrete Fourier transform on the finite circle; 1.3 Graphs of Z/nZ, adjacency operators, eigenvalues; 1.4 Four questions about Cayley graphs; 1.5 Finite Euclidean graphs and three questions about their spectra; 1.6 Random walks on Cayley graphs; 1.7 Applications in geometry and analysis; 1.8 The quadratic reciprocity law; 1.9 The fast Fourier transform; 1.10 The DFT on finite Abelian groups - finite tori; 1.11 Error-correcting codes; 1.12 The Poisson sum formula on a finite Abelian group; 1.13 Some applications in chemistry and physics; 1.14 The uncertainty principle; Part II. Introduction; 2.1 Fourier transform and representations of finite groups; 2.2 Induced representations; 2.3 The finite ax + b group; 2.4 Heisenberg group; 2.5 Finite symmetric spaces - finite upper half planes Hq; 2.6 Special functions on Hq - K-Bessel and spherical; 2.7 The general linear group GL(2, Fq); 2.8. Selberg's trace formula and isospectral non-isomorphic graphs; 2.9 The trace formula on finite upper half planes; 2.10 The trace formula for a tree and Ihara's zeta function.
Details
Erscheinungsjahr: 2005
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521457187
ISBN-10: 0521457181
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Terras, Audrey
Hersteller: Cambridge University Press
Maße: 229 x 152 x 27 mm
Von/Mit: Audrey Terras
Erscheinungsdatum: 29.10.2005
Gewicht: 0,735 kg
Artikel-ID: 106795263
Inhaltsverzeichnis
Introduction; Cast of characters; Part I: 1. Congruences and the quotient ring of the integers mod n; 1.2 The discrete Fourier transform on the finite circle; 1.3 Graphs of Z/nZ, adjacency operators, eigenvalues; 1.4 Four questions about Cayley graphs; 1.5 Finite Euclidean graphs and three questions about their spectra; 1.6 Random walks on Cayley graphs; 1.7 Applications in geometry and analysis; 1.8 The quadratic reciprocity law; 1.9 The fast Fourier transform; 1.10 The DFT on finite Abelian groups - finite tori; 1.11 Error-correcting codes; 1.12 The Poisson sum formula on a finite Abelian group; 1.13 Some applications in chemistry and physics; 1.14 The uncertainty principle; Part II. Introduction; 2.1 Fourier transform and representations of finite groups; 2.2 Induced representations; 2.3 The finite ax + b group; 2.4 Heisenberg group; 2.5 Finite symmetric spaces - finite upper half planes Hq; 2.6 Special functions on Hq - K-Bessel and spherical; 2.7 The general linear group GL(2, Fq); 2.8. Selberg's trace formula and isospectral non-isomorphic graphs; 2.9 The trace formula on finite upper half planes; 2.10 The trace formula for a tree and Ihara's zeta function.
Details
Erscheinungsjahr: 2005
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521457187
ISBN-10: 0521457181
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Terras, Audrey
Hersteller: Cambridge University Press
Maße: 229 x 152 x 27 mm
Von/Mit: Audrey Terras
Erscheinungsdatum: 29.10.2005
Gewicht: 0,735 kg
Artikel-ID: 106795263
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