Fourier analysis on finite groups and applications:
This book gives a friendly introduction to Fourier analysis on finite groups, both commutative and non-commutative. 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 gr...
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: | BSB01 FHN01 UBR01 UBY01 Volltext |
| Zusammenfassung: | This book gives a friendly introduction to Fourier analysis on finite groups, both commutative and non-commutative. 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. In the first part, the author parallels the development of Fourier analysis on the real line and the circle, and then moves on to analogues of higher dimensional Euclidean space. The second part emphasizes matrix groups such as the Heisenberg group of upper triangular 2x2 matrices. The book concludes with an introduction to zeta functions on finite graphs via the trace formula |
| Beschreibung: | 1 Online-Ressource (x, 442 Seiten) |
| ISBN: | 9780511626265 |
| DOI: | 10.1017/CBO9780511626265 |
Internformat
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| 490 | 0 | |a London Mathematical Society student texts |v 43 | |
| 520 | |a This book gives a friendly introduction to Fourier analysis on finite groups, both commutative and non-commutative. 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. In the first part, the author parallels the development of Fourier analysis on the real line and the circle, and then moves on to analogues of higher dimensional Euclidean space. The second part emphasizes matrix groups such as the Heisenberg group of upper triangular 2x2 matrices. The book concludes with an introduction to zeta functions on finite graphs via the trace formula | ||
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Datensatz im Suchindex
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| dewey-full | 515/.2433 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| discipline | Mathematik |
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| id | DE-604.BV043940535 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:13Z |
| institution | BVB |
| isbn | 9780511626265 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349505 |
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| publishDate | 1999 |
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| spelling | Terras, Audrey 1942- Verfasser (DE-588)115217320 aut Fourier analysis on finite groups and applications Audrey Terras Fourier Analysis on Finite Groups & Applications Cambridge Cambridge University Press 1999 1 Online-Ressource (x, 442 Seiten) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society student texts 43 This book gives a friendly introduction to Fourier analysis on finite groups, both commutative and non-commutative. 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. In the first part, the author parallels the development of Fourier analysis on the real line and the circle, and then moves on to analogues of higher dimensional Euclidean space. The second part emphasizes matrix groups such as the Heisenberg group of upper triangular 2x2 matrices. The book concludes with an introduction to zeta functions on finite graphs via the trace formula Fourier analysis Finite groups Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Endliche Gruppe (DE-588)4014651-0 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 s Endliche Gruppe (DE-588)4014651-0 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 978-0-521-45108-6 Erscheint auch als Druck-Ausgabe 978-0-521-45718-7 https://doi.org/10.1017/CBO9780511626265 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Terras, Audrey 1942- Fourier analysis on finite groups and applications Fourier analysis Finite groups Harmonische Analyse (DE-588)4023453-8 gnd Endliche Gruppe (DE-588)4014651-0 gnd |
| subject_GND | (DE-588)4023453-8 (DE-588)4014651-0 |
| title | Fourier analysis on finite groups and applications |
| title_alt | Fourier Analysis on Finite Groups & 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 Finite groups Harmonische Analyse (DE-588)4023453-8 gnd Endliche Gruppe (DE-588)4014651-0 gnd |
| topic_facet | Fourier analysis Finite groups Harmonische Analyse Endliche Gruppe |
| url | https://doi.org/10.1017/CBO9780511626265 |
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