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The fundamental lemma of the Shalika subgroup of GL(4) / / Solomon Friedberg, Hervé Jacquet
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
Opac: Controlla la disponibilità qui
The fundamental lemma of the Shalika subgroup of GL(4) / / Solomon Friedberg, Hervé Jacquet
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
Opac: Controlla la disponibilità qui
The fundamental lemma of the Shalika subgroup of GL(4) / / Solomon Friedberg, Hervé Jacquet
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
Opac: Controlla la disponibilità qui
General eigenfunction expansions and unitary representations of topological groups / Krzysztof Maurin
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
Opac: Controlla la disponibilità qui
General eigenfunction expansions and unitary representations of topological groups / Krzysztof Maurin
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
Opac: Controlla la disponibilità qui
Generalized Whittaker functions on SU(2,2) with respect to the Siegel parabolic subgroup / / Yasuro Gon
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
Opac: Controlla la disponibilità qui
Generalized Whittaker functions on SU(2,2) with respect to the Siegel parabolic subgroup / / Yasuro Gon
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
Opac: Controlla la disponibilità qui
Generalized Whittaker functions on SU(2,2) with respect to the Siegel parabolic subgroup / / Yasuro Gon
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
Opac: Controlla la disponibilità qui
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
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
Opac: Controlla la disponibilità qui
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
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
Opac: Controlla la disponibilità qui

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