Modern Analysis of Automorphic Forms by Example

ISBN-13: 9781108473842 / Angielski / Twarda / 2018 / 364 str.

Paul Garrett

Opis

A second volume self-contained introduction to the analytical aspects of automorphic forms, featuring proofs of critical results with examples.

Recenzje

Review of Multi-volume Set: 'It is marvelous to see how Garrett goes about presenting such deep and broad material in what is certainly a superbly holistic manner. It's really a wonderful example of what I think is the right pedagogy for this part of number theory. The examples he uses are lynchpins for an increasingly elaborate development of the subject, and the reader has a number of accessible places to hang his hat as the story unfolds.' Michael Berg, MAA Reviews

Spis treści

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.