1.

Record Nr.

UNINA9910817122603321

Autore

Mandouvalos Nikolaos <1949->

Titolo

Scattering operator, Eisenstein series, inner product formula, and "Maass-Selberg" relations for Kleinian groups / / Nikolaos Mandouvalos

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 1989

©1989

ISBN

1-4704-0820-1

Descrizione fisica

1 online resource (97 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 78, Number 400

Disciplina

510

Soggetti

Eisenstein series

Scattering operator

Kleinian groups

Spectral theory (Mathematics)

Selberg trace formula

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"March 1989, Volume 78, number 400 (end of volume)."

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""Table of Contents""; ""Introduction""; ""Part I. Scattering Operator and Eisenstein Series""; ""Â1. Analytical and Geometrical considerations""; ""Â2. The scattering operator and Eisenstein integral""; ""Â3. ""Desingularizations"" of the scattering operator and construction of a smooth parametrix""; ""Part II. The Inner Product Formula""; ""Â4. Integration over a horosphere""; ""Â5. The constant term theorem""; ""Â6. Formulation and proof of the inner product formula""; ""Part III. ""Maass-Selberg"" Relations and Functional Equation""

""Â7. Two modified L[sup(2)]-versions of the Eisenstein integral""""Â8. The first ""Maass-Selbert"" relation""; ""Â9. The second ""Maass-Selberg"" relation and the functional equation""; ""Epilogue""; ""Â 10. Extension to discrete groups on H[sup(n+1)]""; ""Bibliography""