A two-volume self-contained introduction to the analytical aspects of automorphic forms, featuring proofs of critical results with examples.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
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
Volume 1: 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. Volume 2: 1. Unbounded operators on Hilbert spaces 2. Discrete decomposition of pseudo-cuspforms 3. Meromorphic continuation of Eisenstein series 4. Global automorphic Sobolev spaces, Green's functions 5. Examples - topologies on natural function spaces 6. Vector-valued integrals 7. Differentiable vector-valued functions 8. Asymptotic expansions.
Volume 1: 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. Volume 2: 1. Unbounded operators on Hilbert spaces 2. Discrete decomposition of pseudo-cuspforms 3. Meromorphic continuation of Eisenstein series 4. Global automorphic Sobolev spaces, Green's functions 5. Examples - topologies on natural function spaces 6. Vector-valued integrals 7. Differentiable vector-valued functions 8. Asymptotic expansions.
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