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Advances in the theory of automorphic forms and their L-functions : workshop in honor of James Cogdell's 60th birthday, October 16-25, 2013, Erwin Schrödinger Institute, University of Vienna, Vienna, Austria / / Dihua Jiang, Freydoon Shahidi, David Soudry, editors
| Advances in the theory of automorphic forms and their L-functions : workshop in honor of James Cogdell's 60th birthday, October 16-25, 2013, Erwin Schrödinger Institute, University of Vienna, Vienna, Austria / / Dihua Jiang, Freydoon Shahidi, David Soudry, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2016] |
| Descrizione fisica | 1 online resource (386 pages) : illustrations |
| Disciplina | 515/.9 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Automorphic forms
Automorphic functions L-functions |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-1709-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910480736203321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Advances in the theory of automorphic forms and their L-functions : workshop in honor of James Cogdell's 60th birthday, October 16-25, 2013, Erwin Schrödinger Institute, University of Vienna, Vienna, Austria / / Dihua Jiang, Freydoon Shahidi, David Soudry, editors
| Advances in the theory of automorphic forms and their L-functions : workshop in honor of James Cogdell's 60th birthday, October 16-25, 2013, Erwin Schrödinger Institute, University of Vienna, Vienna, Austria / / Dihua Jiang, Freydoon Shahidi, David Soudry, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2016] |
| Descrizione fisica | 1 online resource (386 pages) : illustrations |
| Disciplina | 515/.9 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Automorphic forms
Automorphic functions L-functions |
| ISBN | 1-4704-1709-X |
| Classificazione | 11Fxx11Gxx11Mxx22Exx |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910789306703321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Advances in the theory of automorphic forms and their L-functions : workshop in honor of James Cogdell's 60th birthday, October 16-25, 2013, Erwin Schrödinger Institute, University of Vienna, Vienna, Austria / / Dihua Jiang, Freydoon Shahidi, David Soudry, editors
| Advances in the theory of automorphic forms and their L-functions : workshop in honor of James Cogdell's 60th birthday, October 16-25, 2013, Erwin Schrödinger Institute, University of Vienna, Vienna, Austria / / Dihua Jiang, Freydoon Shahidi, David Soudry, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2016] |
| Descrizione fisica | 1 online resource (386 pages) : illustrations |
| Disciplina | 515/.9 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Automorphic forms
Automorphic functions L-functions |
| ISBN | 1-4704-1709-X |
| Classificazione | 11Fxx11Gxx11Mxx22Exx |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910810576403321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Automorphic forms and related geometry : assessing the legecy of I. I. Piatetski-Shapiro : Conference on Automorphic Forms and Related Geometry : April 23-27, 2012, Yale University, New Haven, CT / / James W. Cogdell, Freydoon Shahidi, David Soudry, editors
| Automorphic forms and related geometry : assessing the legecy of I. I. Piatetski-Shapiro : Conference on Automorphic Forms and Related Geometry : April 23-27, 2012, Yale University, New Haven, CT / / James W. Cogdell, Freydoon Shahidi, David Soudry, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (454 p.) |
| Disciplina | 515/.9 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Automorphic forms
L-functions Forms (Mathematics) Geometry |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-1658-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""References""""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"" |
| Record Nr. | UNINA-9910480998203321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Automorphic forms and related geometry : assessing the legecy of I. I. Piatetski-Shapiro : Conference on Automorphic Forms and Related Geometry : April 23-27, 2012, Yale University, New Haven, CT / / James W. Cogdell, Freydoon Shahidi, David Soudry, editors
| Automorphic forms and related geometry : assessing the legecy of I. I. Piatetski-Shapiro : Conference on Automorphic Forms and Related Geometry : April 23-27, 2012, Yale University, New Haven, CT / / James W. Cogdell, Freydoon Shahidi, David Soudry, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (454 p.) |
| Disciplina | 515/.9 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Automorphic forms
L-functions Forms (Mathematics) Geometry |
| ISBN | 1-4704-1658-1 |
| Classificazione | 11FXX22EXX14JXX |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | References -- 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. |
| Record Nr. | UNINA-9910786541403321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Automorphic forms and related geometry : assessing the legecy of I. I. Piatetski-Shapiro : Conference on Automorphic Forms and Related Geometry : April 23-27, 2012, Yale University, New Haven, CT / / James W. Cogdell, Freydoon Shahidi, David Soudry, editors
| Automorphic forms and related geometry : assessing the legecy of I. I. Piatetski-Shapiro : Conference on Automorphic Forms and Related Geometry : April 23-27, 2012, Yale University, New Haven, CT / / James W. Cogdell, Freydoon Shahidi, David Soudry, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (454 p.) |
| Disciplina | 515/.9 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Automorphic forms
L-functions Forms (Mathematics) Geometry |
| ISBN | 1-4704-1658-1 |
| Classificazione | 11FXX22EXX14JXX |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | References -- 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. |
| Record Nr. | UNINA-9910810326203321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The descent map from automorphic representations of GL(n) to classical groups / / David Ginzburg, Stephen Rallis, David Soudry
| The descent map from automorphic representations of GL(n) to classical groups / / David Ginzburg, Stephen Rallis, David Soudry |
| Autore | Ginzburg D (David) |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Singapore, : World Scientific Pub., c2011 |
| Descrizione fisica | 1 online resource (350 p.) |
| Disciplina |
512.73
515.9 |
| Altri autori (Persone) |
RallisStephen <1942->
SoudryDavid <1956-> |
| Soggetto topico |
L-functions
Automorphic forms Representations of groups |
| ISBN |
9786613433398
9781283433396 1283433397 9789814304993 9814304999 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; 1. Introduction; 1.1 Overview; 1.2 Formulas for the Weil representation; 1.3 The case, where H is unitary and the place v splits in E; 2. On Certain Residual Representations; 2.1 The groups; 2.2 The Eisenstein series to be considered; 2.3 L-groups and representations related to P; 2.4 The residue representation; 2.5 The case of a maximal parabolic subgroup (r = 1); 2.6 A preliminary lemma on Eisenstein series on GLn; 2.7 Constant terms of E(h, f , ); 2.8 Description of W(M ,D ); 2.9 Continuation of the proof of Theorem 2.1
3. Coefficients of Gelfand-Graev Type, of Fourier-Jacobi Type, and Descent3.1 Gelfand-Graev coefficients; 3.2 Fourier-Jacobi coefficients; 3.3 Nilpotent orbits; 3.4 Global integrals representing L-functions I; 3.5 Global integrals representing L-functions II; 3.6 Definition of the descent; 3.7 Definition of Jacquet modules corresponding to Gelfand-Graev characters; 3.8 Definition of Jacquet modules corresponding to Fourier-Jacobi characters; 4. Some double coset decompositions; 4.1 The space Q \h (V ) /Q; 1. The case where K is a field; 2. The case where K = k k 4.2 A set of representatives for Q \h(V ) /Q1. The case where K is a field and h(Vk) is not even orthogonal and split; 2. The case where h(Vk) is even orthogonal and split; 3. The case K = k k; 4.3 Stabilizers; 1. The case where K is a field and h(V ) is not even orthogonal and split; 2. The case where h(V ) is even orthogonal and split; 3. The case K = k k; 4.4 The set Q\h(W , ) /L ,; 1. The case where K is a field and w is anisotropic; 2. The case where K = k k (and w - anisotropic); 5. Jacquet modules of parabolic inductions: Gelfand-Graev characters 5.1 The case where K is a field5.2 The case K = k k; 6. Jacquet modules of parabolic inductions: Fourier-Jacobi characters; 6.1 The case where K is a field; 6.2 The case K = k k; 7. The tower property; 7.1 A general lemma on "exchanging roots"; 7.2 A formula for constant terms of Gelfand-Graev coefficients; 7.3 Global Gelfand-Graev models for cuspidal representations; 7.4 The general case: H is neither split nor quasi-split; 7.5 Global Gelfand-Graev models for the residual representations E; 7.6 A formula for constant terms of Fourier-Jacobi coefficients 7.7 Global Fourier-Jacobi models for cuspidal representations7.8 Global Fourier-Jacobi models for the residual representations E; 8. Non-vanishing of the descent I; 8.1 The Fourier coefficient corresponding to the partition (m,m,m' - 2m); 8.2 Conjugation of Sm by the element α; 8.3 Exchanging the roots y , and x , (dim V = 2m , m > 2); 8.4 First induction step: exchanging the roots y and x , , for 1 i j [m+1 ]; dim V = 2m; 8.5 First induction step: odd orthogonal groups; 8.6 Second induction step: exchanging the roots y and x , , for i + j m+ 1, j > [m+1 ] (dim V = 2m) 8.7 Completion of the proof of Theorems 8.1, 8.2 |
| Record Nr. | UNINA-9910969574603321 |
Ginzburg D (David)
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| Singapore, : World Scientific Pub., c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||