02912nam 2200625 450 991081712260332120170918220437.01-4704-0820-1(CKB)3360000000464584(EBL)3113755(SSID)ssj0000889199(PQKBManifestationID)11478252(PQKBTitleCode)TC0000889199(PQKBWorkID)10876084(PQKB)10785461(MiAaPQ)EBC3113755(RPAM)3869881(PPN)195412834(EXLCZ)99336000000046458420140902h19891989 uy 0engur|n|---|||||txtccrScattering operator, Eisenstein series, inner product formula, and "Maass-Selberg" relations for Kleinian groups /Nikolaos MandouvalosProvidence, Rhode Island :American Mathematical Society,1989.©19891 online resource (97 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 78, Number 400"March 1989, Volume 78, number 400 (end of volume)."0-8218-2463-5 Includes bibliographical references.""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""Memoirs of the American Mathematical Society ;Volume 78, Number 400.Eisenstein seriesScattering operatorKleinian groupsSpectral theory (Mathematics)Selberg trace formulaEisenstein series.Scattering operator.Kleinian groups.Spectral theory (Mathematics)Selberg trace formula.510Mandouvalos Nikolaos1949-1609406MiAaPQMiAaPQMiAaPQBOOK9910817122603321Scattering operator, Eisenstein series, inner product formula, and "Maass-Selberg" relations for Kleinian groups3936649UNINA