The fundamental lemma of the Shalika subgroup of GL(4) / / Solomon Friedberg, Hervé Jacquet |
Autore | Friedberg Solomon <1958-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1996 |
Descrizione fisica | 1 online resource (167 p.) |
Disciplina | 512/.7 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Automorphic forms
Trace formulas Representations of groups |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0179-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Chapter I. Introduction and Statement of Results""; ""1. Introduction""; ""2. The Shalika Subgroup H of GL(4): Relevant Double Cosets and Kloosterman Integrals""; ""3. The Symplectic Group GS[sub(p)](4): Relevant Double Cosets and Kloosterman Integrals""; ""4. The Main Theorem""; ""5. Kloosterman Integrals and Gauss Sums""; ""Chapter II. Evaluation of the Integral for the Main H-Relevant Double Cosets""; ""1. Plan of the Computation""; ""2. The Unipotent Integral""; ""3. The Toroidal Integral""; ""4. Two Supplementary Integrals""
""5. Evaluation of the Mellin Transform I: The Ramified Case""""6. Evaluation of the Mellin Transform II: The Case Ï?[sub(1)]Ramified, Ï?[sub(2)] Unramified""; ""7. Evaluation of the Mellin Transform III: The Case Ï?[sub(1)]Unramified, Ï?[sub(2)]Ramified""; ""8. Evaluation of the Mellin Transform IV: The Unramified Case""; ""Chapter III. Evaluation of the Integrals for the Other if-Relevant Double Cosets""; ""1. Evaluation of the Integral M[sub(F)](Ï?[sub(1); 1), I: Unipotent Integration""; ""2. Evaluation of the Integral M[sub(F)](Ï?[sub(1); 1), II: Toroidal Integration and Simplification"" ""3. Evaluation of the Integral M[sub(F)](Ï?[sub(1)132), I: Unipotent Integration""; ""4. Evaluation of the Integral M[sub(F)](Ï?[sub(1); 132), II: Toroidal Integration and Simplification""; ""Chapter IV. Evaluation of the GS[sub(p)](4) Integral for the Main Double Cosets""; ""1. Computation of the Integral J(t)""; ""2. Simplification of the Integrals Giving J(t)""; ""3. Computation of the Mellin Transform""; ""4. Evaluation of the Mellin Transform I: The Ramified Case""; ""5. Evaluation of the Mellin Transform II: The Case Ï?[sub(1)] Ramified, Ï?[sub(2)] Unramified"" ""6. Evaluation of the Mellin Transform III: The Case Ï?[sub(1)] Unramified, Ï?[sub(2)] Ramified""""7. Evaluation of the Mellin Transform IV: The Unramified Case""; ""Chapter V. Evaluation of the G5[sub(p)](4) Integrals for the Other Relevant Double Cosets""; ""1. Computation of the Integral J(Ï?[sub(1)],t)""; ""2. Evaluation of the Mellin Transform M[sub(J)](Ï?Ï?[sub(1)])""; ""3. Computation of the Integral J(Ï?[sub(2)],t)""; ""4. Evaluation of the Mellin Transform M[sub(J)](Ï?Ï?[sub(1)])""; ""References"" |
Record Nr. | UNINA-9910480027603321 |
Friedberg Solomon <1958-> | ||
Providence, Rhode Island : , : American Mathematical Society, , 1996 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The fundamental lemma of the Shalika subgroup of GL(4) / / Solomon Friedberg, Hervé Jacquet |
Autore | Friedberg Solomon <1958-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1996 |
Descrizione fisica | 1 online resource (167 p.) |
Disciplina | 512/.7 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Automorphic forms
Trace formulas Representations of groups |
ISBN | 1-4704-0179-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Chapter I. Introduction and Statement of Results""; ""1. Introduction""; ""2. The Shalika Subgroup H of GL(4): Relevant Double Cosets and Kloosterman Integrals""; ""3. The Symplectic Group GS[sub(p)](4): Relevant Double Cosets and Kloosterman Integrals""; ""4. The Main Theorem""; ""5. Kloosterman Integrals and Gauss Sums""; ""Chapter II. Evaluation of the Integral for the Main H-Relevant Double Cosets""; ""1. Plan of the Computation""; ""2. The Unipotent Integral""; ""3. The Toroidal Integral""; ""4. Two Supplementary Integrals""
""5. Evaluation of the Mellin Transform I: The Ramified Case""""6. Evaluation of the Mellin Transform II: The Case Ï?[sub(1)]Ramified, Ï?[sub(2)] Unramified""; ""7. Evaluation of the Mellin Transform III: The Case Ï?[sub(1)]Unramified, Ï?[sub(2)]Ramified""; ""8. Evaluation of the Mellin Transform IV: The Unramified Case""; ""Chapter III. Evaluation of the Integrals for the Other if-Relevant Double Cosets""; ""1. Evaluation of the Integral M[sub(F)](Ï?[sub(1); 1), I: Unipotent Integration""; ""2. Evaluation of the Integral M[sub(F)](Ï?[sub(1); 1), II: Toroidal Integration and Simplification"" ""3. Evaluation of the Integral M[sub(F)](Ï?[sub(1)132), I: Unipotent Integration""; ""4. Evaluation of the Integral M[sub(F)](Ï?[sub(1); 132), II: Toroidal Integration and Simplification""; ""Chapter IV. Evaluation of the GS[sub(p)](4) Integral for the Main Double Cosets""; ""1. Computation of the Integral J(t)""; ""2. Simplification of the Integrals Giving J(t)""; ""3. Computation of the Mellin Transform""; ""4. Evaluation of the Mellin Transform I: The Ramified Case""; ""5. Evaluation of the Mellin Transform II: The Case Ï?[sub(1)] Ramified, Ï?[sub(2)] Unramified"" ""6. Evaluation of the Mellin Transform III: The Case Ï?[sub(1)] Unramified, Ï?[sub(2)] Ramified""""7. Evaluation of the Mellin Transform IV: The Unramified Case""; ""Chapter V. Evaluation of the G5[sub(p)](4) Integrals for the Other Relevant Double Cosets""; ""1. Computation of the Integral J(Ï?[sub(1)],t)""; ""2. Evaluation of the Mellin Transform M[sub(J)](Ï?Ï?[sub(1)])""; ""3. Computation of the Integral J(Ï?[sub(2)],t)""; ""4. Evaluation of the Mellin Transform M[sub(J)](Ï?Ï?[sub(1)])""; ""References"" |
Record Nr. | UNINA-9910788730703321 |
Friedberg Solomon <1958-> | ||
Providence, Rhode Island : , : American Mathematical Society, , 1996 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The fundamental lemma of the Shalika subgroup of GL(4) / / Solomon Friedberg, Hervé Jacquet |
Autore | Friedberg Solomon <1958-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1996 |
Descrizione fisica | 1 online resource (167 p.) |
Disciplina | 512/.7 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Automorphic forms
Trace formulas Representations of groups |
ISBN | 1-4704-0179-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Chapter I. Introduction and Statement of Results""; ""1. Introduction""; ""2. The Shalika Subgroup H of GL(4): Relevant Double Cosets and Kloosterman Integrals""; ""3. The Symplectic Group GS[sub(p)](4): Relevant Double Cosets and Kloosterman Integrals""; ""4. The Main Theorem""; ""5. Kloosterman Integrals and Gauss Sums""; ""Chapter II. Evaluation of the Integral for the Main H-Relevant Double Cosets""; ""1. Plan of the Computation""; ""2. The Unipotent Integral""; ""3. The Toroidal Integral""; ""4. Two Supplementary Integrals""
""5. Evaluation of the Mellin Transform I: The Ramified Case""""6. Evaluation of the Mellin Transform II: The Case Ï?[sub(1)]Ramified, Ï?[sub(2)] Unramified""; ""7. Evaluation of the Mellin Transform III: The Case Ï?[sub(1)]Unramified, Ï?[sub(2)]Ramified""; ""8. Evaluation of the Mellin Transform IV: The Unramified Case""; ""Chapter III. Evaluation of the Integrals for the Other if-Relevant Double Cosets""; ""1. Evaluation of the Integral M[sub(F)](Ï?[sub(1); 1), I: Unipotent Integration""; ""2. Evaluation of the Integral M[sub(F)](Ï?[sub(1); 1), II: Toroidal Integration and Simplification"" ""3. Evaluation of the Integral M[sub(F)](Ï?[sub(1)132), I: Unipotent Integration""; ""4. Evaluation of the Integral M[sub(F)](Ï?[sub(1); 132), II: Toroidal Integration and Simplification""; ""Chapter IV. Evaluation of the GS[sub(p)](4) Integral for the Main Double Cosets""; ""1. Computation of the Integral J(t)""; ""2. Simplification of the Integrals Giving J(t)""; ""3. Computation of the Mellin Transform""; ""4. Evaluation of the Mellin Transform I: The Ramified Case""; ""5. Evaluation of the Mellin Transform II: The Case Ï?[sub(1)] Ramified, Ï?[sub(2)] Unramified"" ""6. Evaluation of the Mellin Transform III: The Case Ï?[sub(1)] Unramified, Ï?[sub(2)] Ramified""""7. Evaluation of the Mellin Transform IV: The Unramified Case""; ""Chapter V. Evaluation of the G5[sub(p)](4) Integrals for the Other Relevant Double Cosets""; ""1. Computation of the Integral J(Ï?[sub(1)],t)""; ""2. Evaluation of the Mellin Transform M[sub(J)](Ï?Ï?[sub(1)])""; ""3. Computation of the Integral J(Ï?[sub(2)],t)""; ""4. Evaluation of the Mellin Transform M[sub(J)](Ï?Ï?[sub(1)])""; ""References"" |
Record Nr. | UNINA-9910812407003321 |
Friedberg Solomon <1958-> | ||
Providence, Rhode Island : , : American Mathematical Society, , 1996 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
General eigenfunction expansions and unitary representations of topological groups / Krzysztof Maurin |
Autore | Maurin, Krzysztof |
Pubbl/distr/stampa | Warszawa : Polish Scientific Publishers, 1968 |
Descrizione fisica | 367 p. ; 24 cm. |
Collana | Monografie Matematyczne ; 48 |
Soggetto topico | Representations of groups |
Classificazione |
510.22
510.46 510.47 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000972709707536 |
Maurin, Krzysztof | ||
Warszawa : Polish Scientific Publishers, 1968 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
General eigenfunction expansions and unitary representations of topological groups / Krzysztof Maurin |
Autore | Maurin, Krzysztof |
Pubbl/distr/stampa | Warszawa : Panstwowe Wydawnictowo Naukowe, 1968 |
Descrizione fisica | 367 p. ; 25 cm. |
Disciplina | 515.785 |
Collana | Polska Akademia Nauk. Institut matematyczny. Monografie matematyczne |
Soggetto topico |
Representations of groups
Spectral theory Topological groups |
Classificazione |
AMS 43-XX
AMS 43A65 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000927779707536 |
Maurin, Krzysztof | ||
Warszawa : Panstwowe Wydawnictowo Naukowe, 1968 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
Generalized Whittaker functions on SU(2,2) with respect to the Siegel parabolic subgroup / / Yasuro Gon |
Autore | Gon Yasuro |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
Descrizione fisica | 1 online resource (130 p.) |
Disciplina |
510 s
512/.73 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Coulomb functions
Forms, Modular Representations of groups |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0331-5 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""1. Introduction""; ""Chapter 2. Generalized Whittaker functions and representation theory of SU(2,2)""; ""2. Definition of the generalized Whittaker functions""; ""3. Structure theory for SU(2,2) and its Lie algebra""; ""4. Representations of K""; ""5. Irreducible SU(Î?)-modules""; ""6. Explicit description of Whittaker functions""; ""7. Radial part of the shift operators""; ""Chapter 3. Generalized Whittaker functions for P[sub(J)] principal series representations""; ""8. Generalized Whittaker functions for P[sub(J)]-principal series""
""Chapter 4. Generalized Whittaker functions for the discrete series representations""""9. Generalized Whittaker functions for the discrete series representations""; ""10. Generalized Whittaker functions for the holomorphic discrete series representations""; ""11. Generalized Whittaker functions for the large discrete series representations""; ""12. Generalized Whittaker functions for the middle discrete representations""; ""13. Generalized Whittaker functions for the middle discrete series associated with definite H[sub(Î?)]"" ""14. Generalized Whittaker functions for the middle discrete series associated with indefinite H[sub(Î?)]""""Bibliography"" |
Record Nr. | UNINA-9910479980603321 |
Gon Yasuro | ||
Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Generalized Whittaker functions on SU(2,2) with respect to the Siegel parabolic subgroup / / Yasuro Gon |
Autore | Gon Yasuro |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
Descrizione fisica | 1 online resource (130 p.) |
Disciplina |
510 s
512/.73 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Coulomb functions
Forms, Modular Representations of groups |
ISBN | 1-4704-0331-5 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""1. Introduction""; ""Chapter 2. Generalized Whittaker functions and representation theory of SU(2,2)""; ""2. Definition of the generalized Whittaker functions""; ""3. Structure theory for SU(2,2) and its Lie algebra""; ""4. Representations of K""; ""5. Irreducible SU(Î?)-modules""; ""6. Explicit description of Whittaker functions""; ""7. Radial part of the shift operators""; ""Chapter 3. Generalized Whittaker functions for P[sub(J)] principal series representations""; ""8. Generalized Whittaker functions for P[sub(J)]-principal series""
""Chapter 4. Generalized Whittaker functions for the discrete series representations""""9. Generalized Whittaker functions for the discrete series representations""; ""10. Generalized Whittaker functions for the holomorphic discrete series representations""; ""11. Generalized Whittaker functions for the large discrete series representations""; ""12. Generalized Whittaker functions for the middle discrete representations""; ""13. Generalized Whittaker functions for the middle discrete series associated with definite H[sub(Î?)]"" ""14. Generalized Whittaker functions for the middle discrete series associated with indefinite H[sub(Î?)]""""Bibliography"" |
Record Nr. | UNINA-9910788845303321 |
Gon Yasuro | ||
Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Generalized Whittaker functions on SU(2,2) with respect to the Siegel parabolic subgroup / / Yasuro Gon |
Autore | Gon Yasuro |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
Descrizione fisica | 1 online resource (130 p.) |
Disciplina |
510 s
512/.73 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Coulomb functions
Forms, Modular Representations of groups |
ISBN | 1-4704-0331-5 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""1. Introduction""; ""Chapter 2. Generalized Whittaker functions and representation theory of SU(2,2)""; ""2. Definition of the generalized Whittaker functions""; ""3. Structure theory for SU(2,2) and its Lie algebra""; ""4. Representations of K""; ""5. Irreducible SU(Î?)-modules""; ""6. Explicit description of Whittaker functions""; ""7. Radial part of the shift operators""; ""Chapter 3. Generalized Whittaker functions for P[sub(J)] principal series representations""; ""8. Generalized Whittaker functions for P[sub(J)]-principal series""
""Chapter 4. Generalized Whittaker functions for the discrete series representations""""9. Generalized Whittaker functions for the discrete series representations""; ""10. Generalized Whittaker functions for the holomorphic discrete series representations""; ""11. Generalized Whittaker functions for the large discrete series representations""; ""12. Generalized Whittaker functions for the middle discrete representations""; ""13. Generalized Whittaker functions for the middle discrete series associated with definite H[sub(Î?)]"" ""14. Generalized Whittaker functions for the middle discrete series associated with indefinite H[sub(Î?)]""""Bibliography"" |
Record Nr. | UNINA-9910818970403321 |
Gon Yasuro | ||
Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Geometry of group representations : proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held July 5-11, 1987 with support from the National Science Foundation / / William M. Goldman and Andy R. Magid, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1988] |
Descrizione fisica | 1 online resource (330 p.) |
Disciplina | 512/.22 |
Collana | Contemporary mathematics |
Soggetto topico |
Representations of groups
Geometry, Differential |
Soggetto genere / forma | Electronic books. |
ISBN |
0-8218-7663-5
0-8218-5412-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Table of Contents""; ""Preface""; ""List of Participants""; ""List of Talks""; ""Kleinian Groups � Geometrically Finite and Geometrically Perverse""; ""The Real Spectrum Compactification of Teichmuller Space""; ""A Semi-Algebraic Brower Fixed Point Theorem for Real Affine Space""; ""The Tree of a Non-Archimedean Hyperbolic Plane""; ""Gauge Theory and Representations of Kahler Groups""; ""The Diophantine Nature of Some Constructions at Infinity""; ""Complex Representations and One-Relator Products of Cyclics""; ""1. Introduction""; ""2. The Freiheitssatz""; ""3. The Tits Alternative""
""4. Normal Torsion-Free Subgroups""""5. Amalgam Decompositions""; ""6. Non-Proper Power Relators""; ""Sometimes H1 is H2 and Discrete Groups Deform""; ""Geometric Structures on Manifolds and Varieties of Representations""; ""Topological Rigidity of Developing Maps with Applications to Conformally Flat Structures""; ""Modular Groups and Representation Spaces""; ""Local Structures of Representation Varieties: Examples""; ""Deformations of Representations of Finitely Generated Groups""; ""Connected Components of Representation Varieties""; ""A Characterization of Orbit Closure"" ""Calculus on Moduli Spaces""""Affine Homogeneous Spaces""; ""Deformations and Discrete Subgroups of Loop Groups""; ""Afterword"" |
Record Nr. | UNINA-9910480761603321 |
Providence, Rhode Island : , : American Mathematical Society, , [1988] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Geometry of group representations : proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held July 5-11, 1987 with support from the National Science Foundation / / William M. Goldman and Andy R. Magid, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1988] |
Descrizione fisica | 1 online resource (330 p.) |
Disciplina | 512/.22 |
Collana | Contemporary mathematics |
Soggetto topico |
Representations of groups
Geometry, Differential |
ISBN |
0-8218-7663-5
0-8218-5412-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Table of Contents -- Preface -- List of Participants -- List of Talks -- Kleinian Groups " Geometrically Finite and Geometrically Perverse -- The Real Spectrum Compactification of Teichmuller Space -- A Semi-Algebraic Brower Fixed Point Theorem for Real Affine Space -- The Tree of a Non-Archimedean Hyperbolic Plane -- Gauge Theory and Representations of Kahler Groups -- The Diophantine Nature of Some Constructions at Infinity -- Complex Representations and One-Relator Products of Cyclics -- 1. Introduction -- 2. The Freiheitssatz -- 3. The Tits Alternative -- 4. Normal Torsion-Free Subgroups -- 5. Amalgam Decompositions -- 6. Non-Proper Power Relators -- Sometimes H1 is H2 and Discrete Groups Deform -- Geometric Structures on Manifolds and Varieties of Representations -- Topological Rigidity of Developing Maps with Applications to Conformally Flat Structures -- Modular Groups and Representation Spaces -- Local Structures of Representation Varieties: Examples -- Deformations of Representations of Finitely Generated Groups -- Connected Components of Representation Varieties -- A Characterization of Orbit Closure -- Calculus on Moduli Spaces -- Affine Homogeneous Spaces -- Deformations and Discrete Subgroups of Loop Groups -- Afterword. |
Record Nr. | UNINA-9910788786703321 |
Providence, Rhode Island : , : American Mathematical Society, , [1988] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|