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Armand Borel Automorphic Forms on SL2 (R) (Paperback) (UK IMPORT)
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- Book Title
- Automorphic Forms on SL2 (R)
- Title
- Automorphic Forms on SL2 (R)
- EAN
- 9780521072120
- ISBN
- 9780521072120
- Genre
- Science Nature & Math
- Release Year
- 2008
- Release Date
- 08/14/2008
- Country/Region of Manufacture
- GB
- Subject Area
- Mathematics
- Publication Name
- Automorphic Forms on Sl2 (R)
- Item Length
- 8.9 in
- Publisher
- Cambridge University Press
- Subject
- Algebra / General, Number Theory
- Publication Year
- 2008
- Series
- Cambridge Tracts in Mathematics Ser.
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Item Height
- 0.5 in
- Item Width
- 6 in
- Item Weight
- 10.9 Oz
- Number of Pages
- 208 Pages
關於產品
Product Information
An introduction to the analytic theory of automorphic forms, limited to the case of fuchsian groups, but from the point of view of the general theory, ending with an introduction to unitary infinite dimensional representations. The main prerequisites are familiarity with functional analysis and elementary Lie theory.
Product Identifiers
Publisher
Cambridge University Press
ISBN-10
0521072123
ISBN-13
9780521072120
eBay Product ID (ePID)
66608683
Product Key Features
Publication Name
Automorphic Forms on Sl2 (R)
Format
Trade Paperback
Language
English
Subject
Algebra / General, Number Theory
Publication Year
2008
Series
Cambridge Tracts in Mathematics Ser.
Type
Textbook
Subject Area
Mathematics
Number of Pages
208 Pages
Dimensions
Item Length
8.9 in
Item Height
0.5 in
Item Width
6 in
Item Weight
10.9 Oz
Additional Product Features
Intended Audience
Scholarly & Professional
Series Volume Number
Series Number 130
Lc Classification Number
Qa331 .B687 1997
Reviews
"...is a very carefully written book, which is accessible to the graduate student. ... Its size of 184 pages makes it even more possible to complete the material in one semester. Thus, it can be used as preparation for learning the 'Langlands program' since the case of SL2(R) is concrete enough not to be lost in the maze of generality and typical enough to exemplify the general case. The topic is now a dominant theme in both algebraic and analytic number theory as well as algebraic geometry, and so the monograph is timely." Mathematical Reviews Clippings, "...I would recommend [Bu] to graduate students or anyone else who wants to get into the subject. There is a great deal of foundational material here. Any effort put into reading it and working exercises will be rewarded with a good understanding of the basics." Bulletin of the American Mathematical Society, Review of the hardback: 'This text will serve as an admirable introduction to harmonic analysis as it appears in contemporary number theory and algebraic geometry.' Victor Snaith, Bulletin of the London Mathematical Society, From the hardback review: 'This text will serve as an admirable introduction to harmonic analysis as it appears in contemporary number theory and algebraic geometry.' Victor Snaith, Bulletin of the London Mathematical Society, From the hardback review: '... carefully and concisely written ... Clearly every mathematical library should have this book.' Zentralblatt, Review of the hardback: '... carefully and concisely written ... Clearly every mathematical library should have this book.' Zentralblatt
Table of Content
Part I. Basic Material On SL2(R), Discrete Subgroups and the Upper-Half Plane: 1. Prerequisites and notation; 2. Review of SL2(R), differential operators, convolution; 3. Action of G on X, discrete subgroups of G, fundamental domains; 4. The unit disc model; Part II. Automorphic Forms and Cusp Forms: 5. Growth conditions, automorphic forms; 6. Poincare series; 7. Constant term:the fundamental estimate; 8. Finite dimensionality of the space of automorphic forms of a given type; 9. Convolution operators on cuspidal functions; Part III. Eisenstein Series: 10. Definition and convergence of Eisenstein series; 11. Analytic continuation of the Eisenstein series; 12. Eisenstein series and automorphic forms orthogonal to cusp forms; Part IV. Spectral Decomposition and Representations: 13.Spectral decomposition of L2(G\G)m with respect to C; 14. Generalities on representations of G; 15. Representations of SL2(R); 16. Spectral decomposition of L2(G\SL2(R)):the discrete spectrum; 17. Spectral decomposition of L2(G\SL2(R)): the continuous spectrum; 18. Concluding remarks.
Copyright Date
2008
Dewey Decimal
515.9
Dewey Edition
21
Illustrated
Yes
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增值稅識別編號:
- GB 864154811
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Thanks!
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