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...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
1999.
|
| Schriftenreihe: | London Mathematical Society student texts ;
43. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "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 |
| Beschreibung: | 1 online resource |
| Bibliographie: | Includes bibliographical references (pages 421-436) and index. |
| ISBN: | 9781107361980 1107361982 9780511626265 0511626266 9781107366893 1107366895 |
Internformat
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| 245 | 1 | 0 | |a Fourier analysis on finite groups and applications / |c Audrey Terras. |
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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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Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn832441599 |
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| _version_ | 1816882226431787008 |
| adam_text | |
| any_adam_object | |
| author | Terras, Audrey |
| author_GND | http://id.loc.gov/authorities/names/n84172127 |
| author_facet | Terras, Audrey |
| author_role | |
| author_sort | Terras, Audrey |
| author_variant | a t at |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA403 |
| callnumber-raw | QA403.5 .T47 1999eb |
| callnumber-search | QA403.5 .T47 1999eb |
| callnumber-sort | QA 3403.5 T47 41999EB |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 450 |
| collection | ZDB-4-EBA |
| contents | 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. |
| ctrlnum | (OCoLC)832441599 |
| dewey-full | 515/.2433 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.2433 |
| dewey-search | 515/.2433 |
| dewey-sort | 3515 42433 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| illustrated | Illustrated |
| indexdate | 2024-11-27T13:25:15Z |
| institution | BVB |
| isbn | 9781107361980 1107361982 9780511626265 0511626266 9781107366893 1107366895 |
| language | English |
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| series | London Mathematical Society student texts ; |
| series2 | London Mathematical Society student texts ; |
| spelling | Terras, Audrey. http://id.loc.gov/authorities/names/n84172127 Fourier analysis on finite groups and applications / Audrey Terras. Cambridge ; New York : Cambridge University Press, 1999. 1 online resource text txt rdacontent computer c rdamedia online resource 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. Print version record. Fourier analysis. http://id.loc.gov/authorities/subjects/sh85051088 Finite groups. http://id.loc.gov/authorities/subjects/sh85048354 Fourier Analysis https://id.nlm.nih.gov/mesh/D005583 Analyse de Fourier. Groupes finis. MATHEMATICS Infinity. bisacsh Finite groups fast Fourier analysis fast Harmonische Analyse gnd http://d-nb.info/gnd/4023453-8 has work: Fourier analysis on finite groups and applications (Text) https://id.oclc.org/worldcat/entity/E39PCG3pxBQV4TvwrWj3fBVf7b https://id.oclc.org/worldcat/ontology/hasWork Print version: Terras, Audrey. Fourier analysis on finite groups and applications. Cambridge ; New York : Cambridge University Press, 1999 0521451086 (DLC) 98036455 (OCoLC)39624927 London Mathematical Society student texts ; 43. http://id.loc.gov/authorities/names/n84727069 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=551360 Volltext |
| spellingShingle | Terras, Audrey Fourier analysis on finite groups and applications / London Mathematical Society student texts ; 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. Fourier analysis. http://id.loc.gov/authorities/subjects/sh85051088 Finite groups. http://id.loc.gov/authorities/subjects/sh85048354 Fourier Analysis https://id.nlm.nih.gov/mesh/D005583 Analyse de Fourier. Groupes finis. MATHEMATICS Infinity. bisacsh Finite groups fast Fourier analysis fast Harmonische Analyse gnd http://d-nb.info/gnd/4023453-8 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85051088 http://id.loc.gov/authorities/subjects/sh85048354 https://id.nlm.nih.gov/mesh/D005583 http://d-nb.info/gnd/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 | Fourier analysis. http://id.loc.gov/authorities/subjects/sh85051088 Finite groups. http://id.loc.gov/authorities/subjects/sh85048354 Fourier Analysis https://id.nlm.nih.gov/mesh/D005583 Analyse de Fourier. Groupes finis. MATHEMATICS Infinity. bisacsh Finite groups fast Fourier analysis fast Harmonische Analyse gnd http://d-nb.info/gnd/4023453-8 |
| topic_facet | Fourier analysis. Finite groups. Fourier Analysis Analyse de Fourier. Groupes finis. MATHEMATICS Infinity. Finite groups Fourier analysis Harmonische Analyse |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=551360 |
| work_keys_str_mv | AT terrasaudrey fourieranalysisonfinitegroupsandapplications |