LEADER 04519nam 2200637 450 001 9910810326203321 005 20220902021803.0 010 $a1-4704-1658-1 035 $a(CKB)3710000000124449 035 $a(EBL)3113293 035 $a(SSID)ssj0001184460 035 $a(PQKBManifestationID)11786885 035 $a(PQKBTitleCode)TC0001184460 035 $a(PQKBWorkID)11196631 035 $a(PQKB)10980512 035 $a(MiAaPQ)EBC3113293 035 $a(RPAM)17919859 035 $a(PPN)197102573 035 $a(EXLCZ)993710000000124449 100 $a20140613h20142014 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aAutomorphic forms and related geometry $eassessing the legecy of I. I. Piatetski-Shapiro : Conference on Automorphic Forms and Related Geometry : April 23-27, 2012, Yale University, New Haven, CT /$fJames W. Cogdell, Freydoon Shahidi, David Soudry, editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2014. 210 4$d©2014 215 $a1 online resource (454 p.) 225 1 $aContemporary mathematics,$x1098-3627 ;$v614$x0271-4132 300 $aDescription based upon print version of record. 311 $a0-8218-9394-7 320 $aIncludes bibliographical references. 327 $aReferences -- A -adic integral for the reciprocal of -functions -- 1. Introduction and Motivation -- 2. Mazur's measure and its real analytic interpretation -- 3. Fourier coefficients of classical Eisenstein series -- 4. Proof of \thmref{th1} -- Acknowledgements -- References -- Harmonic analysis on symmetric spaces as complex analysis -- 1. Horospherical reduction of complex symmetric spaces (geometrical picture) -- 2. Horospherical reduction of complex symmetric spaces (analytic construction of intertwining operators) -- 3. Dual horospherical Cauchy transform -- 4. Cauchy formula on complex symmetric spaces -- 5. Horospherical duality for real symmetric spaces. Compact spaces -- 6. Horospherical duality for complex crowns of symmetric spaces -- 7. Tube Stein manifolds on causal symmetric spaces -- References -- Testing rationality of coherent cohomology of Shimura varieties -- Introduction -- 1. Restrictions of discrete series representations and global consequences -- 2. Restrictions of minimal types -- 3. Coherent cohomology of unitary group Shimura varieties -- 4. Gross-Prasad periods as cup products -- Acknowledgements -- 6. The case =3, = =2 -- 7. The case = = =2 -- 8. The case =1 -- 9. Application to holomorphic unitary representations -- References -- Mellin Transform of Whittaker functions -- 1. Introduction -- 2. Proof of the Theorem -- References -- Automorphic Integral Transforms for Classical Groups I: Endoscopy Correspondences -- 1. Introduction -- 2. Arthur Parametrization of Discrete Spectrum -- 3. Endoscopy Structures for Classical Groups -- 4. Fourier Coefficients and Nilpotent Orbits -- 5. Constructions of the Automorphic Kernel Functions -- 6. Automorphic Descents and Automorphic Forms of Simple Type -- An inductive formula for -factors -- On a new functional equation for local integrals -- Paquets stables des séries discrètes accessibles par endoscopie tordue; leur paramètre de Langlands -- On a certain sum of automorphic -functions -- Analytic constructions of -adic -functions and Eisenstein series -- On stability of root numbers -- CAP forms, Eisenstein series, and some arithmetic applications -- Automorphic descent: an outgrowth from Piatetski-Shapiro?s vision -- On the singularities of branch curves of 3 surfaces and applications. 410 0$aContemporary mathematics (American Mathematical Society).$v614$x0271-4132 606 $aAutomorphic forms$vCongresses 606 $aL-functions$vCongresses 606 $aForms (Mathematics)$vCongresses 606 $aGeometry$vCongresses 615 0$aAutomorphic forms 615 0$aL-functions 615 0$aForms (Mathematics) 615 0$aGeometry 676 $a515/.9 686 $a11FXX$a22EXX$a14JXX$2msc 702 $aCogdell$b James W.$f1953- 702 $aShahidi$b Freydoon 702 $aSoudry$b David$f1956- 712 12$aAutomorphic Forms and Related Geometry (Conference) 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910810326203321 996 $aAutomorphic forms and related geometry$94036006 997 $aUNINA