Spectral Decomposition and Eisenstein Series

Klappentext A self-contained introduction to automorphic forms! and Eisenstein series and pseudo-series! proving some of Langlands' work at the intersection of number theory and group theory. Zusammenfassung A self-contained introduction to automorphic forms! Eisenstein series and pseudo-series! proving some of Langlands' work at the intersection of number theory and group theory. It is suitable for graduate students and researchers in number theory! representation theory! and all whose work involves the Langlands program. Inhaltsverzeichnis Preamble; Notation; 1. Hypotheses, automorphic forms, constant terms; 2. Decomposition according to cuspidal data; 3. Hilbertian operators and automorphic forms; 4. Continuation of Eisenstein series; 5. Construction of the discrete spectrum via residues; 6. Spectral decomposition via the discrete Levi spectrum; Appendix I. Lifting of unipotent subgroups; Appendix II. Automorphic forms and Eisenstein series on function fields; Appendix III. On the discrete spectrum of G2; Appendix IV. Non-connected groups; Bibliography; Index.

Klappentext

A self-contained introduction to automorphic forms, and Eisenstein series and pseudo-series, proving some of Langlands' work at the intersection of number theory and group theory.

Zusammenfassung
A self-contained introduction to automorphic forms, Eisenstein series and pseudo-series, proving some of Langlands' work at the intersection of number theory and group theory. It is suitable for graduate students and researchers in number theory, representation theory, and all whose work involves the Langlands program.

Inhalt
Preamble; Notation; 1. Hypotheses, automorphic forms, constant terms; 2. Decomposition according to cuspidal data; 3. Hilbertian operators and automorphic forms; 4. Continuation of Eisenstein series; 5. Construction of the discrete spectrum via residues; 6. Spectral decomposition via the discrete Levi spectrum; Appendix I. Lifting of unipotent subgroups; Appendix II. Automorphic forms and Eisenstein series on function fields; Appendix III. On the discrete spectrum of G2; Appendix IV. Non-connected groups; Bibliography; Index.