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Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation / / Leiba Rodman, Ilya M. Spitkovsky, Hugo J. Woerdeman
Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation / / Leiba Rodman, Ilya M. Spitkovsky, Hugo J. Woerdeman
Autore Rodman L.
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2002]
Descrizione fisica 1 online resource (87 p.)
Disciplina 510 s
515/.724
Collana Memoirs of the American Mathematical Society
Soggetto topico Lifting theory
Factorization (Mathematics)
Toeplitz operators
Soggetto genere / forma Electronic books.
ISBN 1-4704-0360-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Chapter 1. Introduction""; ""1.1. Abstract Band Method""; ""1.2. Factorization""; ""1.3. Conventions and Notation""; ""Chapter 2. Abstract Band Method: New Variations""; ""2.1. Nonsymmetric Band Method""; ""2.2. Shiftable Band Structure""; ""2.3. Stability of Band Extensions""; ""2.4. Band Extensions: The Symmetric Case""; ""2.5. Positive Band Extensions: Existence""; ""2.6. Description of Positive Extensions""; ""Chapter 3. Toeplitz and Wiener Algebras of Operator Matrices""; ""3.1. Band Extensions for Wiener Class of Operator Valued Functions on the Unit Circle""
""3.2. Positive Extensions for Wiener Class of Doubly Infinite Operator Matrices""""3.3. Application to Cyclostationary Processes""; ""Chapter 4. Positive Extensions in Wiener Classes of Almost Periodic Matrix Functions""; ""4.1. Almost Periodic Functions and Statement of the Problem""; ""4.2. Preliminaries on Almost Periodic Functions and Toeplitz Operators""; ""4.3. Toeplitz Operators Associated with Band""; ""4.4. Positive Extension Problem: Main Results""; ""4.5. Point Excluding Variations""; ""4.6. Stability of Band Extensions""; ""4.7. Positive Measure Extension Problem""
""4.8. Application to Spectral Estimation for ARMA Processes""""Chapter 5. Appendix""; ""5.1. Bochner-Phillips Theorem""; ""5.2. Abstract Factorization""; ""5.3. Krein's Theorem on Extension of Positive Functionals""; ""5.4. Invertibility in Banach Algebras""; ""Bibliography""; ""Index""
Record Nr. UNINA-9910478892803321
Rodman L.  
Providence, Rhode Island : , : American Mathematical Society, , [2002]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation / / Leiba Rodman, Ilya M. Spitkovsky, Hugo J. Woerdeman
Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation / / Leiba Rodman, Ilya M. Spitkovsky, Hugo J. Woerdeman
Autore Rodman L.
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2002]
Descrizione fisica 1 online resource (87 p.)
Disciplina 510 s
515/.724
Collana Memoirs of the American Mathematical Society
Soggetto topico Lifting theory
Factorization (Mathematics)
Toeplitz operators
ISBN 1-4704-0360-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Chapter 1. Introduction""; ""1.1. Abstract Band Method""; ""1.2. Factorization""; ""1.3. Conventions and Notation""; ""Chapter 2. Abstract Band Method: New Variations""; ""2.1. Nonsymmetric Band Method""; ""2.2. Shiftable Band Structure""; ""2.3. Stability of Band Extensions""; ""2.4. Band Extensions: The Symmetric Case""; ""2.5. Positive Band Extensions: Existence""; ""2.6. Description of Positive Extensions""; ""Chapter 3. Toeplitz and Wiener Algebras of Operator Matrices""; ""3.1. Band Extensions for Wiener Class of Operator Valued Functions on the Unit Circle""
""3.2. Positive Extensions for Wiener Class of Doubly Infinite Operator Matrices""""3.3. Application to Cyclostationary Processes""; ""Chapter 4. Positive Extensions in Wiener Classes of Almost Periodic Matrix Functions""; ""4.1. Almost Periodic Functions and Statement of the Problem""; ""4.2. Preliminaries on Almost Periodic Functions and Toeplitz Operators""; ""4.3. Toeplitz Operators Associated with Band""; ""4.4. Positive Extension Problem: Main Results""; ""4.5. Point Excluding Variations""; ""4.6. Stability of Band Extensions""; ""4.7. Positive Measure Extension Problem""
""4.8. Application to Spectral Estimation for ARMA Processes""""Chapter 5. Appendix""; ""5.1. Bochner-Phillips Theorem""; ""5.2. Abstract Factorization""; ""5.3. Krein's Theorem on Extension of Positive Functionals""; ""5.4. Invertibility in Banach Algebras""; ""Bibliography""; ""Index""
Record Nr. UNINA-9910788847703321
Rodman L.  
Providence, Rhode Island : , : American Mathematical Society, , [2002]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation / / Leiba Rodman, Ilya M. Spitkovsky, Hugo J. Woerdeman
Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation / / Leiba Rodman, Ilya M. Spitkovsky, Hugo J. Woerdeman
Autore Rodman L.
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2002]
Descrizione fisica 1 online resource (87 p.)
Disciplina 510 s
515/.724
Collana Memoirs of the American Mathematical Society
Soggetto topico Lifting theory
Factorization (Mathematics)
Toeplitz operators
ISBN 1-4704-0360-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Chapter 1. Introduction""; ""1.1. Abstract Band Method""; ""1.2. Factorization""; ""1.3. Conventions and Notation""; ""Chapter 2. Abstract Band Method: New Variations""; ""2.1. Nonsymmetric Band Method""; ""2.2. Shiftable Band Structure""; ""2.3. Stability of Band Extensions""; ""2.4. Band Extensions: The Symmetric Case""; ""2.5. Positive Band Extensions: Existence""; ""2.6. Description of Positive Extensions""; ""Chapter 3. Toeplitz and Wiener Algebras of Operator Matrices""; ""3.1. Band Extensions for Wiener Class of Operator Valued Functions on the Unit Circle""
""3.2. Positive Extensions for Wiener Class of Doubly Infinite Operator Matrices""""3.3. Application to Cyclostationary Processes""; ""Chapter 4. Positive Extensions in Wiener Classes of Almost Periodic Matrix Functions""; ""4.1. Almost Periodic Functions and Statement of the Problem""; ""4.2. Preliminaries on Almost Periodic Functions and Toeplitz Operators""; ""4.3. Toeplitz Operators Associated with Band""; ""4.4. Positive Extension Problem: Main Results""; ""4.5. Point Excluding Variations""; ""4.6. Stability of Band Extensions""; ""4.7. Positive Measure Extension Problem""
""4.8. Application to Spectral Estimation for ARMA Processes""""Chapter 5. Appendix""; ""5.1. Bochner-Phillips Theorem""; ""5.2. Abstract Factorization""; ""5.3. Krein's Theorem on Extension of Positive Functionals""; ""5.4. Invertibility in Banach Algebras""; ""Bibliography""; ""Index""
Record Nr. UNINA-9910818014003321
Rodman L.  
Providence, Rhode Island : , : American Mathematical Society, , [2002]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Analytic quotients : theory of liftings for quotients over analytic ideals on the integers / / Ilijas Farah
Analytic quotients : theory of liftings for quotients over analytic ideals on the integers / / Ilijas Farah
Autore Farah Ilijas <1966->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2000]
Descrizione fisica 1 online resource (201 p.)
Disciplina 510 s
511.3/22
Collana Memoirs of the American Mathematical Society
Soggetto topico Set theory
Algebra, Boolean
Lifting theory
Soggetto genere / forma Electronic books.
ISBN 1-4704-0293-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Preface""; ""Acknowledgments""; ""A note to the reader""; ""Introduction""; ""Chapter 1. Baire-measurable homomorphisms of analytic quotients""; ""1.1. Introduction""; ""1.2. Ideals induced by submeasures""; ""1.3. Preorderings on analytic quotients""; ""1.4. The Radon�Nikodym property""; ""1.5. Asymptotically additive liftings""; ""1.6. The Radon�Nikodym property of Fin and Fin x0""; ""1.7. A reformulation of Todorcevic's hypothesis""; ""1.8. Approximate homomorphisms and non-pathological submeasures""; ""1.9. The lifting theorem and the non-lifting theorem""
""1.10. Permanence properties of quotients""""1.11. Simple FÏ? P-ideals which are not summable""; ""1.12. The structure of summable ideals""; ""1.13. The structure of density ideals""; ""1.14. Remarks and questions""; ""Chapter 2. Open Coloring Axiom and uniformization""; ""2.1. Why Open Coloring Axiom?""; ""2.2. Coherent families of partial functions""; ""2.3. Coherent families of partitions""; ""2.4. â??[sub(2)]-reflection for coherent families""; ""2.5. Remarks and questions""; ""Chapter 3. Homomorphisms of analytic quotients under OCA""; ""3.1. Introduction""
""3.2. Homomorphisms without Baire-measurable liftings""""3.3. Almost liftings and lifting theorems""; ""3.4. Applications: rigidity of analytic quotients""; ""3.5. Applications: quotients embeddable into analytic quotients""; ""3.6. Automorphism groups""; ""3.7. Homogeneity of analytic quotients""; ""3.8. Almost liftings of embeddings into P(N)/Fin""; ""3.9. Almost liftings of embeddings into P(N[sup(2)])/Fin x0""; ""3.10. Nonmeager hereditary sets""; ""3.11. Approximate homomorphisms; more on stabilizers""; ""3.12. A local version of the OCA lifting theorem""
""3.13. The proof of the OCA lifting theorem for the analytic P-ideals""""3.14. Remarks and questions""; ""Chapter 4. Weak Extension Principle""; ""4.1. Introduction""; ""4.2. Dependence of functions on their variables""; ""4.3. Prime mappings""; ""4.4. Autohomeomorphisms of finite powers of β[sub(w)] and w*""; ""4.5. Cech�Stone remainders of countable ordinals""; ""4.6. Some Parovicenko spaces under wEP""; ""4.7. Remainders of locally compact, countable spaces""; ""4.8. Almost liftings and duality""; ""4.9. OCA and MA imply wEP""; ""4.10. Versions of wEP""; ""4.11. Remarks and questions""
""Chapter 5. Gaps and limits in analytic quotients""""5.1. Introduction""; ""5.2. Gaps in the quotient over Fin""; ""5.3. Gaps in the quotient over 0 x Fin""; ""5.4. Gaps in the quotient over Fin x0""; ""5.5. The Todorcevic separation property, TSP""; ""5.6. Tukey reductions of nonlinear gaps""; ""5.7. TSP in quotients over analytic P-ideals""; ""5.8. Quotients as reduced products""; ""5.9. Preservation of gaps""; ""5.10. An analytic Hausdorff gap""; ""5.11. Limits in analytic quotients""; ""5.12. A coherent family of functions""; ""5.13. Remarks and questions""; ""Bibliography""; ""Index""
""A""
Record Nr. UNINA-9910480982503321
Farah Ilijas <1966->  
Providence, Rhode Island : , : American Mathematical Society, , [2000]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Analytic quotients : theory of liftings for quotients over analytic ideals on the integers / / Ilijas Farah
Analytic quotients : theory of liftings for quotients over analytic ideals on the integers / / Ilijas Farah
Autore Farah Ilijas <1966->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2000]
Descrizione fisica 1 online resource (201 p.)
Disciplina 510 s
511.3/22
Collana Memoirs of the American Mathematical Society
Soggetto topico Set theory
Algebra, Boolean
Lifting theory
ISBN 1-4704-0293-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Preface""; ""Acknowledgments""; ""A note to the reader""; ""Introduction""; ""Chapter 1. Baire-measurable homomorphisms of analytic quotients""; ""1.1. Introduction""; ""1.2. Ideals induced by submeasures""; ""1.3. Preorderings on analytic quotients""; ""1.4. The Radon�Nikodym property""; ""1.5. Asymptotically additive liftings""; ""1.6. The Radon�Nikodym property of Fin and Fin x0""; ""1.7. A reformulation of Todorcevic's hypothesis""; ""1.8. Approximate homomorphisms and non-pathological submeasures""; ""1.9. The lifting theorem and the non-lifting theorem""
""1.10. Permanence properties of quotients""""1.11. Simple FÏ? P-ideals which are not summable""; ""1.12. The structure of summable ideals""; ""1.13. The structure of density ideals""; ""1.14. Remarks and questions""; ""Chapter 2. Open Coloring Axiom and uniformization""; ""2.1. Why Open Coloring Axiom?""; ""2.2. Coherent families of partial functions""; ""2.3. Coherent families of partitions""; ""2.4. â??[sub(2)]-reflection for coherent families""; ""2.5. Remarks and questions""; ""Chapter 3. Homomorphisms of analytic quotients under OCA""; ""3.1. Introduction""
""3.2. Homomorphisms without Baire-measurable liftings""""3.3. Almost liftings and lifting theorems""; ""3.4. Applications: rigidity of analytic quotients""; ""3.5. Applications: quotients embeddable into analytic quotients""; ""3.6. Automorphism groups""; ""3.7. Homogeneity of analytic quotients""; ""3.8. Almost liftings of embeddings into P(N)/Fin""; ""3.9. Almost liftings of embeddings into P(N[sup(2)])/Fin x0""; ""3.10. Nonmeager hereditary sets""; ""3.11. Approximate homomorphisms; more on stabilizers""; ""3.12. A local version of the OCA lifting theorem""
""3.13. The proof of the OCA lifting theorem for the analytic P-ideals""""3.14. Remarks and questions""; ""Chapter 4. Weak Extension Principle""; ""4.1. Introduction""; ""4.2. Dependence of functions on their variables""; ""4.3. Prime mappings""; ""4.4. Autohomeomorphisms of finite powers of β[sub(w)] and w*""; ""4.5. Cech�Stone remainders of countable ordinals""; ""4.6. Some Parovicenko spaces under wEP""; ""4.7. Remainders of locally compact, countable spaces""; ""4.8. Almost liftings and duality""; ""4.9. OCA and MA imply wEP""; ""4.10. Versions of wEP""; ""4.11. Remarks and questions""
""Chapter 5. Gaps and limits in analytic quotients""""5.1. Introduction""; ""5.2. Gaps in the quotient over Fin""; ""5.3. Gaps in the quotient over 0 x Fin""; ""5.4. Gaps in the quotient over Fin x0""; ""5.5. The Todorcevic separation property, TSP""; ""5.6. Tukey reductions of nonlinear gaps""; ""5.7. TSP in quotients over analytic P-ideals""; ""5.8. Quotients as reduced products""; ""5.9. Preservation of gaps""; ""5.10. An analytic Hausdorff gap""; ""5.11. Limits in analytic quotients""; ""5.12. A coherent family of functions""; ""5.13. Remarks and questions""; ""Bibliography""; ""Index""
""A""
Record Nr. UNINA-9910788841703321
Farah Ilijas <1966->  
Providence, Rhode Island : , : American Mathematical Society, , [2000]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Analytic quotients : theory of liftings for quotients over analytic ideals on the integers / / Ilijas Farah
Analytic quotients : theory of liftings for quotients over analytic ideals on the integers / / Ilijas Farah
Autore Farah Ilijas <1966->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2000]
Descrizione fisica 1 online resource (201 p.)
Disciplina 510 s
511.3/22
Collana Memoirs of the American Mathematical Society
Soggetto topico Set theory
Algebra, Boolean
Lifting theory
ISBN 1-4704-0293-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Preface""; ""Acknowledgments""; ""A note to the reader""; ""Introduction""; ""Chapter 1. Baire-measurable homomorphisms of analytic quotients""; ""1.1. Introduction""; ""1.2. Ideals induced by submeasures""; ""1.3. Preorderings on analytic quotients""; ""1.4. The Radon�Nikodym property""; ""1.5. Asymptotically additive liftings""; ""1.6. The Radon�Nikodym property of Fin and Fin x0""; ""1.7. A reformulation of Todorcevic's hypothesis""; ""1.8. Approximate homomorphisms and non-pathological submeasures""; ""1.9. The lifting theorem and the non-lifting theorem""
""1.10. Permanence properties of quotients""""1.11. Simple FÏ? P-ideals which are not summable""; ""1.12. The structure of summable ideals""; ""1.13. The structure of density ideals""; ""1.14. Remarks and questions""; ""Chapter 2. Open Coloring Axiom and uniformization""; ""2.1. Why Open Coloring Axiom?""; ""2.2. Coherent families of partial functions""; ""2.3. Coherent families of partitions""; ""2.4. â??[sub(2)]-reflection for coherent families""; ""2.5. Remarks and questions""; ""Chapter 3. Homomorphisms of analytic quotients under OCA""; ""3.1. Introduction""
""3.2. Homomorphisms without Baire-measurable liftings""""3.3. Almost liftings and lifting theorems""; ""3.4. Applications: rigidity of analytic quotients""; ""3.5. Applications: quotients embeddable into analytic quotients""; ""3.6. Automorphism groups""; ""3.7. Homogeneity of analytic quotients""; ""3.8. Almost liftings of embeddings into P(N)/Fin""; ""3.9. Almost liftings of embeddings into P(N[sup(2)])/Fin x0""; ""3.10. Nonmeager hereditary sets""; ""3.11. Approximate homomorphisms; more on stabilizers""; ""3.12. A local version of the OCA lifting theorem""
""3.13. The proof of the OCA lifting theorem for the analytic P-ideals""""3.14. Remarks and questions""; ""Chapter 4. Weak Extension Principle""; ""4.1. Introduction""; ""4.2. Dependence of functions on their variables""; ""4.3. Prime mappings""; ""4.4. Autohomeomorphisms of finite powers of β[sub(w)] and w*""; ""4.5. Cech�Stone remainders of countable ordinals""; ""4.6. Some Parovicenko spaces under wEP""; ""4.7. Remainders of locally compact, countable spaces""; ""4.8. Almost liftings and duality""; ""4.9. OCA and MA imply wEP""; ""4.10. Versions of wEP""; ""4.11. Remarks and questions""
""Chapter 5. Gaps and limits in analytic quotients""""5.1. Introduction""; ""5.2. Gaps in the quotient over Fin""; ""5.3. Gaps in the quotient over 0 x Fin""; ""5.4. Gaps in the quotient over Fin x0""; ""5.5. The Todorcevic separation property, TSP""; ""5.6. Tukey reductions of nonlinear gaps""; ""5.7. TSP in quotients over analytic P-ideals""; ""5.8. Quotients as reduced products""; ""5.9. Preservation of gaps""; ""5.10. An analytic Hausdorff gap""; ""5.11. Limits in analytic quotients""; ""5.12. A coherent family of functions""; ""5.13. Remarks and questions""; ""Bibliography""; ""Index""
""A""
Record Nr. UNINA-9910813654003321
Farah Ilijas <1966->  
Providence, Rhode Island : , : American Mathematical Society, , [2000]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Automorphic representations of low rank groups [[electronic resource] /] / Yuval Z. Flicker
Automorphic representations of low rank groups [[electronic resource] /] / Yuval Z. Flicker
Autore Flicker Yuval Z (Yuval Zvi), <1955->
Pubbl/distr/stampa Hackensack, N.J., : World Scientific, c2006
Descrizione fisica 1 online resource (xi, 485 p.)
Disciplina 512.22
Soggetto topico Representations of groups
Unitary groups
Lifting theory
Automorphic forms
Trace formulas
Soggetto genere / forma Electronic books.
ISBN 1-281-92488-1
9786611924881
981-277-362-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface -- pt. 1. On the symmetric square lifting introduction. 1. Functoriality and norms. 1.1. Hecke algebra. 1.2. Norms. 1.3. Local lifting. 1.4. Orthogonality. II. Orbital integrals. II.1. Fundamental lemma. II.2. Differential forms. II.3. Matching orbital integrals. II.4. Germ expansion. III. Twisted trace formula. III.1. Geometric side. III.2. Analytic side. III.3. Trace formulae. IV. Total global comparison. IV. Total global comparison. IV.1. The comparison. IV.2. Appendix: Mathematica program. V. Applications of a trace formula. V.1. Approximation. V.2. Main theorems. V.3. Characters and genericity. VI. Computation of a twisted character. VI.1. Proof of theorem, anisotropic case. VI.2. Proof of theorem, isotropic case -- pt. 2. Automorphic representations of the unitary group U(3,E/F) introduction. 1. Functorial overview. 2. Statement of results. I. Local theory. I.1. Conjugacy classes. I.2. Orbital integrals. I.3. Fundamental lemma. I.4. Admissible representations. I.5. Representations of U(2,1;C/R). 1.6. Fundamental lemma again. II. Trace formula. II.1. Stable trace formula. II.2. Twisted trace formula. II.3. Restricted comparison. II.4. Trace identity. II.5. The [symbol]-endo-lifting e'. II.6. The quasi-endo-lifting e. II.7. Unitary symmetric square. III. Liftings and packets. III.1. Local identity. III.2. Separation. III.3. Specific lifts. III.4. Whittaker models and twisted characters. III.5. Global lifting. III.6. Concluding remarks -- pt. 3. Zeta functions of Shimura varieties of U(3) introduction. 1. Statement of results. 2. The zeta function. I. Preliminaries. I.1. The Shumira variety. I.2. Decomposition of cohomology. I.3. Galois representations. II. Automorphic representations. II.1. Stabilization and the test function. II.2. Functorial overview of basechange for U(3). II.3. Local results on basechange for U(3). II.4. Global results on basechange for U(3). II.5. Spectral side of the stable trace formula. II.6. Proper endoscopic group. III. Local terms. III.1. The reflex field. III.2. The representation of the dual group. III.3. Local terms at p. III.4. The eigenvalues at p. III.5. Terms at p for the endoscopic group. IV. Real representations. IV.1. Representations of the real GL(2). IV.2. Representations of U(2,l). IV.3. Finite-dimensional representations. V. Galois representations. V.1. Stable case. V.2. Unstable case. V.3. Nontempered case.
Record Nr. UNINA-9910451547603321
Flicker Yuval Z (Yuval Zvi), <1955->  
Hackensack, N.J., : World Scientific, c2006
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Automorphic representations of low rank groups [[electronic resource] /] / Yuval Z. Flicker
Automorphic representations of low rank groups [[electronic resource] /] / Yuval Z. Flicker
Autore Flicker Yuval Z (Yuval Zvi), <1955->
Pubbl/distr/stampa Hackensack, N.J., : World Scientific, c2006
Descrizione fisica 1 online resource (xi, 485 p.)
Disciplina 512.22
Soggetto topico Representations of groups
Unitary groups
Lifting theory
Automorphic forms
Trace formulas
ISBN 1-281-92488-1
9786611924881
981-277-362-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface -- pt. 1. On the symmetric square lifting introduction. 1. Functoriality and norms. 1.1. Hecke algebra. 1.2. Norms. 1.3. Local lifting. 1.4. Orthogonality. II. Orbital integrals. II.1. Fundamental lemma. II.2. Differential forms. II.3. Matching orbital integrals. II.4. Germ expansion. III. Twisted trace formula. III.1. Geometric side. III.2. Analytic side. III.3. Trace formulae. IV. Total global comparison. IV. Total global comparison. IV.1. The comparison. IV.2. Appendix: Mathematica program. V. Applications of a trace formula. V.1. Approximation. V.2. Main theorems. V.3. Characters and genericity. VI. Computation of a twisted character. VI.1. Proof of theorem, anisotropic case. VI.2. Proof of theorem, isotropic case -- pt. 2. Automorphic representations of the unitary group U(3,E/F) introduction. 1. Functorial overview. 2. Statement of results. I. Local theory. I.1. Conjugacy classes. I.2. Orbital integrals. I.3. Fundamental lemma. I.4. Admissible representations. I.5. Representations of U(2,1;C/R). 1.6. Fundamental lemma again. II. Trace formula. II.1. Stable trace formula. II.2. Twisted trace formula. II.3. Restricted comparison. II.4. Trace identity. II.5. The [symbol]-endo-lifting e'. II.6. The quasi-endo-lifting e. II.7. Unitary symmetric square. III. Liftings and packets. III.1. Local identity. III.2. Separation. III.3. Specific lifts. III.4. Whittaker models and twisted characters. III.5. Global lifting. III.6. Concluding remarks -- pt. 3. Zeta functions of Shimura varieties of U(3) introduction. 1. Statement of results. 2. The zeta function. I. Preliminaries. I.1. The Shumira variety. I.2. Decomposition of cohomology. I.3. Galois representations. II. Automorphic representations. II.1. Stabilization and the test function. II.2. Functorial overview of basechange for U(3). II.3. Local results on basechange for U(3). II.4. Global results on basechange for U(3). II.5. Spectral side of the stable trace formula. II.6. Proper endoscopic group. III. Local terms. III.1. The reflex field. III.2. The representation of the dual group. III.3. Local terms at p. III.4. The eigenvalues at p. III.5. Terms at p for the endoscopic group. IV. Real representations. IV.1. Representations of the real GL(2). IV.2. Representations of U(2,l). IV.3. Finite-dimensional representations. V. Galois representations. V.1. Stable case. V.2. Unstable case. V.3. Nontempered case.
Record Nr. UNINA-9910777496103321
Flicker Yuval Z (Yuval Zvi), <1955->  
Hackensack, N.J., : World Scientific, c2006
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Automorphic representations of low rank groups [[electronic resource] /] / Yuval Z. Flicker
Automorphic representations of low rank groups [[electronic resource] /] / Yuval Z. Flicker
Autore Flicker Yuval Z (Yuval Zvi), <1955->
Pubbl/distr/stampa Hackensack, N.J., : World Scientific, c2006
Descrizione fisica 1 online resource (xi, 485 p.)
Disciplina 512.22
Soggetto topico Representations of groups
Unitary groups
Lifting theory
Automorphic forms
Trace formulas
ISBN 1-281-92488-1
9786611924881
981-277-362-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface -- pt. 1. On the symmetric square lifting introduction. 1. Functoriality and norms. 1.1. Hecke algebra. 1.2. Norms. 1.3. Local lifting. 1.4. Orthogonality. II. Orbital integrals. II.1. Fundamental lemma. II.2. Differential forms. II.3. Matching orbital integrals. II.4. Germ expansion. III. Twisted trace formula. III.1. Geometric side. III.2. Analytic side. III.3. Trace formulae. IV. Total global comparison. IV. Total global comparison. IV.1. The comparison. IV.2. Appendix: Mathematica program. V. Applications of a trace formula. V.1. Approximation. V.2. Main theorems. V.3. Characters and genericity. VI. Computation of a twisted character. VI.1. Proof of theorem, anisotropic case. VI.2. Proof of theorem, isotropic case -- pt. 2. Automorphic representations of the unitary group U(3,E/F) introduction. 1. Functorial overview. 2. Statement of results. I. Local theory. I.1. Conjugacy classes. I.2. Orbital integrals. I.3. Fundamental lemma. I.4. Admissible representations. I.5. Representations of U(2,1;C/R). 1.6. Fundamental lemma again. II. Trace formula. II.1. Stable trace formula. II.2. Twisted trace formula. II.3. Restricted comparison. II.4. Trace identity. II.5. The [symbol]-endo-lifting e'. II.6. The quasi-endo-lifting e. II.7. Unitary symmetric square. III. Liftings and packets. III.1. Local identity. III.2. Separation. III.3. Specific lifts. III.4. Whittaker models and twisted characters. III.5. Global lifting. III.6. Concluding remarks -- pt. 3. Zeta functions of Shimura varieties of U(3) introduction. 1. Statement of results. 2. The zeta function. I. Preliminaries. I.1. The Shumira variety. I.2. Decomposition of cohomology. I.3. Galois representations. II. Automorphic representations. II.1. Stabilization and the test function. II.2. Functorial overview of basechange for U(3). II.3. Local results on basechange for U(3). II.4. Global results on basechange for U(3). II.5. Spectral side of the stable trace formula. II.6. Proper endoscopic group. III. Local terms. III.1. The reflex field. III.2. The representation of the dual group. III.3. Local terms at p. III.4. The eigenvalues at p. III.5. Terms at p for the endoscopic group. IV. Real representations. IV.1. Representations of the real GL(2). IV.2. Representations of U(2,l). IV.3. Finite-dimensional representations. V. Galois representations. V.1. Stable case. V.2. Unstable case. V.3. Nontempered case.
Record Nr. UNINA-9910807466103321
Flicker Yuval Z (Yuval Zvi), <1955->  
Hackensack, N.J., : World Scientific, c2006
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Lifting properties in skew-product flows with applications to differential equations / / Robert J. Sacker and George R. Sell
Lifting properties in skew-product flows with applications to differential equations / / Robert J. Sacker and George R. Sell
Autore Sacker Robert J. <1937->
Pubbl/distr/stampa Providence : , : American Mathematical Society, , [1977]
Descrizione fisica 1 online resource (74 p.)
Disciplina 515/.35
Collana Memoirs of the American Mathematical Society
Soggetto topico Differential equations
Topological dynamics
Lifting theory
Soggetto genere / forma Electronic books.
ISBN 1-4704-0104-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Table of Contents""; ""Acknowledgements""; ""Abstract""; ""Chapter I. Introduction""; ""Chapter II. Statement of Main Results""; ""Chapter III. Applications to Ordinary Differential Equations""; ""3.1 Definition of Basic Skew-Product Structure""; ""3.2 Compact Invariant Sets""; ""3.3 The Distal Property""; ""3.4 Stability Concepts""; ""3.5 Equations Without Uniqueness""; ""3.6 Scalar Equations""; ""3.7 Triangularization of Linear Equations""; ""Chapter IV. Other Applications""; ""4.1 Retarded Differential Equations""; ""4.2 Kurzweil Equations""; ""4.3 Volterra Equations""
""Chapter V. Proofs of Theorems 1,2 and 3""""Chapter VI. An Example""; ""Chapter VII. Flows on Fibre Bundles""; ""Appendix A. Uniform Spaces""; ""Appendix B. Distal Flows and the Enveloping Semigroups""; ""References""
Record Nr. UNINA-9910480124203321
Sacker Robert J. <1937->  
Providence : , : American Mathematical Society, , [1977]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui