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Discrete Harmonic Analysis: Representation
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Located in: Fairfield, Ohio, United States
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eBay item number:386157764326
Item specifics
- Condition
- Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
- ISBN-13
- 9781107182332
- Book Title
- Discrete Harmonic Analysis
- ISBN
- 9781107182332
- Subject Area
- Mathematics
- Publication Name
- Discrete Harmonic Analysis : Representations, Number Theory, Expanders, and the Fourier Transform
- Publisher
- Cambridge University Press
- Item Length
- 9.3 in
- Subject
- Algebra / General, Discrete Mathematics
- Publication Year
- 2018
- Series
- Cambridge Studies in Advanced Mathematics Ser.
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Height
- 1.4 in
- Item Weight
- 34 Oz
- Item Width
- 6.1 in
- Number of Pages
- 586 Pages
About this product
Product Information
This self-contained book introduces readers to discrete harmonic analysis with an emphasis on the Discrete Fourier Transform and the Fast Fourier Transform on finite groups and finite fields, as well as their noncommutative versions. It also features applications to number theory, graph theory, and representation theory of finite groups. Beginning with elementary material on algebra and number theory, the book then delves into advanced topics from the frontiers of current research, including spectral analysis of the DFT, spectral graph theory and expanders, representation theory of finite groups and multiplicity-free triples, Tao's uncertainty principle for cyclic groups, harmonic analysis on GL(2,Fq), and applications of the Heisenberg group to DFT and FFT. With numerous examples, figures, and over 160 exercises to aid understanding, this book will be a valuable reference for graduate students and researchers in mathematics, engineering, and computer science.
Product Identifiers
Publisher
Cambridge University Press
ISBN-10
1107182336
ISBN-13
9781107182332
eBay Product ID (ePID)
240952004
Product Key Features
Number of Pages
586 Pages
Language
English
Publication Name
Discrete Harmonic Analysis : Representations, Number Theory, Expanders, and the Fourier Transform
Publication Year
2018
Subject
Algebra / General, Discrete Mathematics
Type
Textbook
Subject Area
Mathematics
Series
Cambridge Studies in Advanced Mathematics Ser.
Format
Hardcover
Dimensions
Item Height
1.4 in
Item Weight
34 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
LCCN
2017-057902
Dewey Edition
23
Reviews
Advance praise: 'Although the roots of harmonic analysis lie in the continuous world, in the last few decades the field has also started to play a fundamental role in the discrete one. This book gives a panoramic view of Discrete Harmonic Analysis - an area that touches many branches of mathematics, such as number theory, spectral theory, groups and their representations, and graphs. The authors open a door for the reader taking him or her on a beautiful tour of classical and modern mathematics All this is done in a self-contained way that prepares the reader for cutting-edge research.' Alex Lubotzky, Hebrew University of Jerusalem
Series Volume Number
Series Number 172
Target Audience
Scholarly & Professional
Illustrated
Yes
Dewey Decimal
515.2433
Lc Classification Number
Qa403.C4285 2018
Table of Content
Part I. Finite Abelian Groups and the DFT: 1. Finite Abelian groups; 2. The Fourier transform on finite Abelian groups; 3. Dirichlet's theorem on primes in arithmetic progressions; 4. Spectral analysis of the DFT and number theory; 5. The fast Fourier transform; Part II. Finite Fields and Their Characters: 6. Finite fields; 7. Character theory of finite fields; Part III. Graphs and Expanders: 8. Graphs and their products; 9. Expanders and Ramanujan graphs; Part IV. Harmonic Analysis of Finite Linear Groups: 10. Representation theory of finite groups; 11. Induced representations and Mackey theory; 12. Fourier analysis on finite affine groups and finite Heisenberg groups; 13. Hecke algebras and multiplicity-free triples; 14. Representation theory of GL(2,Fq).
Copyright Date
2018
Item description from the seller
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eBay item number:386157764326
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Fairfield, Ohio, United States
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