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

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

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Description 1 online resource (97 pages) Series Memoirs of the American Mathematical Society, 0065-9266 ; Volume 78, Number 400 Memoirs of the American Mathematical Society ; Volume 78, no. 400. Contents ""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"" Notes "March 1989, Volume 78, number 400 (end of volume)." Bibliography Includes bibliographical references Notes Print version record Subject Eisenstein series. Scattering operator. Kleinian groups. Spectral theory (Mathematics) Selberg trace formula. Eisenstein series. Kleinian groups. Scattering operator. Selberg trace formula. Spectral theory (Mathematics) Form Electronic book ISBN 9781470408206 1470408201

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