Fourier analysis on finite groups and applications:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1999
|
| Schriftenreihe: | London Mathematical Society student texts
43 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references (pages 421-436) and index "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 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 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]) 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 4. Four Questions about Cayley Graphs. 5. Finite Euclidean Graphs and Three Questions about Their Spectra. 6. Random Walks on Cayley Graphs 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. 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 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 |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 0511626266 0521451086 0521457181 1107361982 1107366895 9780511626265 9780521451086 9780521457187 9781107361980 9781107366893 |
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| 100 | 1 | |a Terras, Audrey |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Fourier analysis on finite groups and applications |c Audrey Terras |
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| 490 | 0 | |a London Mathematical Society student texts |v 43 | |
| 500 | |a Includes bibliographical references (pages 421-436) and index | ||
| 500 | |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 | ||
| 500 | |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 | ||
| 500 | |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]) | ||
| 500 | |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 | ||
| 500 | |a 4. Four Questions about Cayley Graphs. 5. Finite Euclidean Graphs and Three Questions about Their Spectra. 6. Random Walks on Cayley Graphs | ||
| 500 | |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. | ||
| 500 | |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 | ||
| 500 | |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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Datensatz im Suchindex
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| author | Terras, Audrey |
| author_facet | Terras, Audrey |
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| author_sort | Terras, Audrey |
| author_variant | a t at |
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| bvnumber | BV043060420 |
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| ctrlnum | (OCoLC)832441599 (DE-599)BVBBV043060420 |
| dewey-full | 515/.2433 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| id | DE-604.BV043060420 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:16:14Z |
| institution | BVB |
| isbn | 0511626266 0521451086 0521457181 1107361982 1107366895 9780511626265 9780521451086 9780521457187 9781107361980 9781107366893 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028484612 |
| oclc_num | 832441599 |
| open_access_boolean | |
| owner | DE-1046 DE-1047 |
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| physical | 1 Online-Ressource |
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| publishDate | 1999 |
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| publisher | Cambridge University Press |
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| series2 | London Mathematical Society student texts |
| spelling | Terras, Audrey Verfasser aut Fourier analysis on finite groups and applications Audrey Terras Cambridge Cambridge University Press 1999 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier London Mathematical Society student texts 43 Includes bibliographical references (pages 421-436) and index "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 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 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]) 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 4. Four Questions about Cayley Graphs. 5. Finite Euclidean Graphs and Three Questions about Their Spectra. 6. Random Walks on Cayley Graphs 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. 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 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 MATHEMATICS / Infinity bisacsh Finite groups fast Fourier analysis fast Fourier analysis Finite groups Endliche Gruppe (DE-588)4014651-0 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 s Endliche Gruppe (DE-588)4014651-0 s 1\p DE-604 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=551360 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Terras, Audrey Fourier analysis on finite groups and applications MATHEMATICS / Infinity bisacsh Finite groups fast Fourier analysis fast Fourier analysis Finite groups Endliche Gruppe (DE-588)4014651-0 gnd Harmonische Analyse (DE-588)4023453-8 gnd |
| subject_GND | (DE-588)4014651-0 (DE-588)4023453-8 |
| title | Fourier analysis on finite groups and applications |
| title_auth | Fourier analysis on finite groups and applications |
| title_exact_search | Fourier analysis on finite groups and applications |
| title_full | Fourier analysis on finite groups and applications Audrey Terras |
| title_fullStr | Fourier analysis on finite groups and applications Audrey Terras |
| title_full_unstemmed | Fourier analysis on finite groups and applications Audrey Terras |
| title_short | Fourier analysis on finite groups and applications |
| title_sort | fourier analysis on finite groups and applications |
| topic | MATHEMATICS / Infinity bisacsh Finite groups fast Fourier analysis fast Fourier analysis Finite groups Endliche Gruppe (DE-588)4014651-0 gnd Harmonische Analyse (DE-588)4023453-8 gnd |
| topic_facet | MATHEMATICS / Infinity Finite groups Fourier analysis Endliche Gruppe Harmonische Analyse |
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