عنوان

Automorphic forms on SL₂(R) /

(Number (ISBN

0521580498 (hardbound)

(Number (ISBN

9780521580496 (hardbound)

Number

dltt

Title Proper

Automorphic forms on SL₂(R) /

General Material Designation

[Book]

First Statement of Responsibility

Armand Borel.

Place of Publication, Distribution, etc.

New York, NY, USA :

Name of Publisher, Distributor, etc.

Cambridge University Press,

Date of Publication, Distribution, etc.

1997.

Specific Material Designation and Extent of Item

x, 192 p. ;

Dimensions

24 cm.

Series Title

Cambridge tracts in mathematics ;

Volume Designation

130

Text of Note

Includes bibliographical references (p. 185-187) and indexes.

Text of Note

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.

0

Automorphic forms.

Class number

Book number

Borel, Armand.

Date of Transaction

20140218105042.0

Electronic name

[Book]

Y