Paul Garrett

Modern Analysis of Automorphic Forms By Example

• Gebundenes Buch

Produktbeschreibung

Volume 1 of a two-volume introduction to the analytical aspects of automorphic forms, featuring proofs of critical results with examples.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 408
• Erscheinungstermin: 15. März 2019
• Englisch
• Abmessung: 235mm x 157mm x 26mm
• Gewicht: 741g
• ISBN-13: 9781107154001
• ISBN-10: 1107154006
• Artikelnr.: 50016168

Autorenporträt

Paul Garrett is Professor of Mathematics at the University of Minnesota. His research focuses on analytical issues in the theory of automorphic forms. He has published numerous journal articles as well as five books.

Inhaltsangabe

1. Four small examples
2. The quotient Z+GL2(k)/GL2(A)
3. SL3(Z), SL5(Z)
4. Invariant differential operators
5. Integration on quotients
6. Action of G on function spaces on G
7. Discrete decomposition of cuspforms
8. Moderate growth functions, theory of the constant term
9. Unbounded operators on Hilbert spaces
10. Discrete decomposition of pseudo-cuspforms
11. Meromorphic continuation of Eisenstein series
12. Global automorphic Sobolev spaces, Green's functions
13. Examples ¿ topologies on natural function spaces
14. Vector-valued integrals
15. Differentiable vector-valued functions
16. Asymptotic expansions.