TY - BOOK AU - Mandouvalos,N. TI - Scattering Operator, Eisenstein Series, Inner Product Formula and Maass-Selberg Relations for Kleinian Groups T2 - Memoirs of the American Mathematical Society SN - 9781470408206 AV - QA353.A9 -- .M363 1989eb U1 - 510 PY - 1989/// CY - Providence PB - American Mathematical Society KW - Eisenstein series KW - Scattering operator KW - Kleinian groups KW - Spectral theory (Mathematics) KW - Selberg trace formula KW - Electronic books N1 - Intro -- Table of Contents -- Introduction -- Part I. Scattering Operator and Eisenstein Series -- 1. Analytical and Geometrical considerations -- 2. The scattering operator and Eisenstein integral -- 3. "Desingularizations" of the scattering operator and construction of a smooth parametrix -- Part II. The Inner Product Formula -- 4. Integration over a horosphere -- 5. The constant term theorem -- 6. Formulation and proof of the inner product formula -- Part III. "Maass-Selberg" Relations and Functional Equation -- 7. Two modified L[sup(2)]-versions of the Eisenstein integral -- 8. The first "Maass-Selbert" relation -- 9. The second "Maass-Selberg" relation and the functional equation -- Epilogue -- 10. Extension to discrete groups on H[sup(n+1)] -- Bibliography UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113755 ER -