Fourier analysis on finite groups and applications /

"This book gives a friendly introduction to Fourier analysis on finite groups, both commutative and noncommutative. Aimed at students in mathematics, engineering, and the physical sciences. It examines the theory of finite groups in a manner that is both accessible to the beginner and suitable...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Terras, Audrey
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge ; New York : Cambridge University Press, 1999.
Colección:London Mathematical Society student texts ; 43.
Temas:
Fourier analysis.
Finite groups.
Fourier Analysis
Analyse de Fourier.
Groupes finis.
MATHEMATICS > Infinity.
Harmonische Analyse
Acceso en línea:Texto completo

MARC

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245 1 0 |a Fourier analysis on finite groups and applications /  |c Audrey Terras. 
260 |a Cambridge ;  |a New York :  |b Cambridge University Press,  |c 1999. 
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490 1 |a London Mathematical Society student texts ;  |v 43 
504 |a Includes bibliographical references (pages 421-436) and index. 
520 1 |a "This book gives a friendly introduction to Fourier analysis on finite groups, both commutative and noncommutative. Aimed at students in mathematics, engineering, and the physical sciences. It examines the theory of finite groups in a manner that is both accessible to the beginner and suitable for graduate research. With applications in chemistry error-correcting codes, data analysis, graph theory, number theory, and probability the book presents a concrete approach to abstract group theory through applied examples, pictures and computer experiments."--Jacket 
505 0 |a 10. The DFT on Finite Abelian Groups -- Finite Tori. 11. Error-Correcting Codes. 12. The Poisson Sum Formula on a Finite Abelian Group. 13. Some Applications in Chemistry and Physics. 14. The Uncertainty Principle. 
505 0 |a 19. Finite Symmetric Spaces -- Finite Upper Half Plane H [subscript q]. 20. Special Functions on H [subscript q] -- K-Bessel and Spherical. 21. The General Linear Group GL(2, F [subscript q]). 
505 0 |a 22. Selberg's Trace Formula and Isospectral Non-isomorphic Graphs. 23. The Trace Formula on Finite Upper Half Planes. 24. Trace Formula For a Tree and Ihara's Zeta Function. 
505 0 |a 4. Four Questions about Cayley Graphs. 5. Finite Euclidean Graphs and Three Questions about Their Spectra. 6. Random Walks on Cayley Graphs. 
505 0 |a 7. Applications in Geometry and Analysis. Connections between Continuous and Finite Problems. Dido's Problem for Polygons. 8. The Quadratic Reciprocity Law. 9. The Fast Fourier Transform or FFT. 
505 0 |a pt. I. Finite Abelian Groups. 1. Congruences and the Quotient Ring of the Integers mod n. 2. The Discrete Fourier Transform on the Finite Circle Z/nZ. 3. Graphs of Z/nZ, Adjacency Operators, Eigenvalues. 
505 0 |a pt. II. Finite Nonabelian Groups. 15. Fourier Transform and Representations of Finite Groups. 16. Induced Representations. 17. The Finite ax+b Group. 18. The Heisenberg Group. 
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650 0 |a Finite groups. 
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650 6 |a Groupes finis. 
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650 7 |a Fourier analysis.  |2 fast  |0 (OCoLC)fst00933401 
650 7 |a Harmonische Analyse  |2 gnd 
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