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Dynamical zeta functions, Nielsen theory, and Reidemeister torsion / / Alexander Felʹshtyn
| Dynamical zeta functions, Nielsen theory, and Reidemeister torsion / / Alexander Felʹshtyn |
| Autore | Felʹshtyn Alexander <1952-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2000 |
| Descrizione fisica | 1 online resource (165 p.) |
| Disciplina |
510 s
515/.56 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Functions, Zeta
Fixed point theory Piecewise linear topology |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0290-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""0.1 From Riemann zeta function to dynamical zeta functions""; ""0.1.1 Riemann zeta function""; ""0.1.2 Problems concerning zeta functions""; ""0.1.3 Important types of zeta functions""; ""0.1.4 Hasse-Weil zeta function""; ""0.1.5 Dynamical zeta functions""; ""0.2 Dynamical zeta functions and Nielsen fixed point theory""; ""0.3 Congruences for Reidemeister numbers""; ""0.4 Reidemeister torsion""; ""0.5 Table of contents""; ""1 Nielsen Fixed Point Theory""; ""1.1 History""; ""1.2 Lifting classes and fixed point classes""; ""1.2.1 The influence of a homotopy""
""1.3 Reidemeister numbers""""1.3.1 Reidemeister numbers of a continuous map""; ""1.3.2 Reidemeister numbers of a group endomorphism""; ""1.4 Nielsen numbers of a continuous map""; ""1.4.1 The fixed point index""; ""1.4.2 Nielsen numbers""; ""1.4.3 The least number of fixed points""; ""2 The Reidemeister zeta function""; ""2.1 A Convolution Product""; ""2.2 Pontryagin Duality""; ""2.3 Eventually commutative endomorphisms""; ""2.3.1 Trace formula for the Reidemeister numbers of eventually commutative endomorphisms"" ""2.3.2 Rationality of Reidemeister zeta functions of eventually commutative endomorphisms - first proof""""2.3.3 Functional equation for the Reidemeister zeta function of an eventually commutative endomorphism""; ""2.3.4 Rationality of Reidemeister zeta functions of eventually commutative endomorphisms - second proof""; ""2.3.5 Connection of the Reidemeister zeta function with the Lefschetz zeta function of the dual map""; ""2.4 Endomorphisms of finite groups""; ""2.5 Endomorphisms of the direct sum of a free Abelian and a finite group""; ""2.6 Endomorphisms of nilpotent groups"" ""2.6.1 Functional equation""""2.7 The Reidemeister zeta function and group extensions""; ""2.8 The Reidemeister zeta function of a continuous map""; ""2.8.1 The Reidemeister zeta function of a continuous map and Serre bundles""; ""3 The Nielsen zeta function""; ""3.1 Radius of Convergence of the Nielsen zeta function""; ""3.1.1 Topological entropy""; ""3.1.2 Algebraic lower estimation for the Radius of Convergence""; ""3.2 Nielsen zeta function of a periodic map""; ""3.3 Orientation-preserving homeomorphisms of a compact surface"" ""3.3.1 Geometry of the Mapping Torus and Radius of Convergence""""3.4 The Jiang subgroup and the Nielsen zeta function""; ""3.5 Polyhedra with finite fundamental group""; ""3.6 Nielsen zeta function in other special cases""; ""3.6.1 Pseudo-Anosov homeomorphism of a compact surface""; ""3.7 The Nielsen zeta function and Serre bundles""; ""3.8 Examples""; ""4 Reidemeister and Nielsen zeta functions modulo normal subgroup, minimal dynamical zeta functions""; ""4.1 Reidemeister and Nielsen zeta functions modulo a normal subgroup"" ""4.1.1 Radius of Convergence of the mod K Nielsen zeta function"" |
| Record Nr. | UNINA-9910480600203321 |
Felʹshtyn Alexander <1952->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Dynamical zeta functions, Nielsen theory, and Reidemeister torsion / / Alexander Felʹshtyn
| Dynamical zeta functions, Nielsen theory, and Reidemeister torsion / / Alexander Felʹshtyn |
| Autore | Felʹshtyn Alexander <1952-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2000 |
| Descrizione fisica | 1 online resource (165 p.) |
| Disciplina |
510 s
515/.56 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Functions, Zeta
Fixed point theory Piecewise linear topology |
| ISBN | 1-4704-0290-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""0.1 From Riemann zeta function to dynamical zeta functions""; ""0.1.1 Riemann zeta function""; ""0.1.2 Problems concerning zeta functions""; ""0.1.3 Important types of zeta functions""; ""0.1.4 Hasse-Weil zeta function""; ""0.1.5 Dynamical zeta functions""; ""0.2 Dynamical zeta functions and Nielsen fixed point theory""; ""0.3 Congruences for Reidemeister numbers""; ""0.4 Reidemeister torsion""; ""0.5 Table of contents""; ""1 Nielsen Fixed Point Theory""; ""1.1 History""; ""1.2 Lifting classes and fixed point classes""; ""1.2.1 The influence of a homotopy""
""1.3 Reidemeister numbers""""1.3.1 Reidemeister numbers of a continuous map""; ""1.3.2 Reidemeister numbers of a group endomorphism""; ""1.4 Nielsen numbers of a continuous map""; ""1.4.1 The fixed point index""; ""1.4.2 Nielsen numbers""; ""1.4.3 The least number of fixed points""; ""2 The Reidemeister zeta function""; ""2.1 A Convolution Product""; ""2.2 Pontryagin Duality""; ""2.3 Eventually commutative endomorphisms""; ""2.3.1 Trace formula for the Reidemeister numbers of eventually commutative endomorphisms"" ""2.3.2 Rationality of Reidemeister zeta functions of eventually commutative endomorphisms - first proof""""2.3.3 Functional equation for the Reidemeister zeta function of an eventually commutative endomorphism""; ""2.3.4 Rationality of Reidemeister zeta functions of eventually commutative endomorphisms - second proof""; ""2.3.5 Connection of the Reidemeister zeta function with the Lefschetz zeta function of the dual map""; ""2.4 Endomorphisms of finite groups""; ""2.5 Endomorphisms of the direct sum of a free Abelian and a finite group""; ""2.6 Endomorphisms of nilpotent groups"" ""2.6.1 Functional equation""""2.7 The Reidemeister zeta function and group extensions""; ""2.8 The Reidemeister zeta function of a continuous map""; ""2.8.1 The Reidemeister zeta function of a continuous map and Serre bundles""; ""3 The Nielsen zeta function""; ""3.1 Radius of Convergence of the Nielsen zeta function""; ""3.1.1 Topological entropy""; ""3.1.2 Algebraic lower estimation for the Radius of Convergence""; ""3.2 Nielsen zeta function of a periodic map""; ""3.3 Orientation-preserving homeomorphisms of a compact surface"" ""3.3.1 Geometry of the Mapping Torus and Radius of Convergence""""3.4 The Jiang subgroup and the Nielsen zeta function""; ""3.5 Polyhedra with finite fundamental group""; ""3.6 Nielsen zeta function in other special cases""; ""3.6.1 Pseudo-Anosov homeomorphism of a compact surface""; ""3.7 The Nielsen zeta function and Serre bundles""; ""3.8 Examples""; ""4 Reidemeister and Nielsen zeta functions modulo normal subgroup, minimal dynamical zeta functions""; ""4.1 Reidemeister and Nielsen zeta functions modulo a normal subgroup"" ""4.1.1 Radius of Convergence of the mod K Nielsen zeta function"" |
| Record Nr. | UNINA-9910788841403321 |
|
Felʹshtyn Alexander <1952->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Dynamical zeta functions, Nielsen theory, and Reidemeister torsion / / Alexander Felʹshtyn
| Dynamical zeta functions, Nielsen theory, and Reidemeister torsion / / Alexander Felʹshtyn |
| Autore | Felʹshtyn Alexander <1952-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2000 |
| Descrizione fisica | 1 online resource (165 p.) |
| Disciplina |
510 s
515/.56 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Functions, Zeta
Fixed point theory Piecewise linear topology |
| ISBN | 1-4704-0290-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""0.1 From Riemann zeta function to dynamical zeta functions""; ""0.1.1 Riemann zeta function""; ""0.1.2 Problems concerning zeta functions""; ""0.1.3 Important types of zeta functions""; ""0.1.4 Hasse-Weil zeta function""; ""0.1.5 Dynamical zeta functions""; ""0.2 Dynamical zeta functions and Nielsen fixed point theory""; ""0.3 Congruences for Reidemeister numbers""; ""0.4 Reidemeister torsion""; ""0.5 Table of contents""; ""1 Nielsen Fixed Point Theory""; ""1.1 History""; ""1.2 Lifting classes and fixed point classes""; ""1.2.1 The influence of a homotopy""
""1.3 Reidemeister numbers""""1.3.1 Reidemeister numbers of a continuous map""; ""1.3.2 Reidemeister numbers of a group endomorphism""; ""1.4 Nielsen numbers of a continuous map""; ""1.4.1 The fixed point index""; ""1.4.2 Nielsen numbers""; ""1.4.3 The least number of fixed points""; ""2 The Reidemeister zeta function""; ""2.1 A Convolution Product""; ""2.2 Pontryagin Duality""; ""2.3 Eventually commutative endomorphisms""; ""2.3.1 Trace formula for the Reidemeister numbers of eventually commutative endomorphisms"" ""2.3.2 Rationality of Reidemeister zeta functions of eventually commutative endomorphisms - first proof""""2.3.3 Functional equation for the Reidemeister zeta function of an eventually commutative endomorphism""; ""2.3.4 Rationality of Reidemeister zeta functions of eventually commutative endomorphisms - second proof""; ""2.3.5 Connection of the Reidemeister zeta function with the Lefschetz zeta function of the dual map""; ""2.4 Endomorphisms of finite groups""; ""2.5 Endomorphisms of the direct sum of a free Abelian and a finite group""; ""2.6 Endomorphisms of nilpotent groups"" ""2.6.1 Functional equation""""2.7 The Reidemeister zeta function and group extensions""; ""2.8 The Reidemeister zeta function of a continuous map""; ""2.8.1 The Reidemeister zeta function of a continuous map and Serre bundles""; ""3 The Nielsen zeta function""; ""3.1 Radius of Convergence of the Nielsen zeta function""; ""3.1.1 Topological entropy""; ""3.1.2 Algebraic lower estimation for the Radius of Convergence""; ""3.2 Nielsen zeta function of a periodic map""; ""3.3 Orientation-preserving homeomorphisms of a compact surface"" ""3.3.1 Geometry of the Mapping Torus and Radius of Convergence""""3.4 The Jiang subgroup and the Nielsen zeta function""; ""3.5 Polyhedra with finite fundamental group""; ""3.6 Nielsen zeta function in other special cases""; ""3.6.1 Pseudo-Anosov homeomorphism of a compact surface""; ""3.7 The Nielsen zeta function and Serre bundles""; ""3.8 Examples""; ""4 Reidemeister and Nielsen zeta functions modulo normal subgroup, minimal dynamical zeta functions""; ""4.1 Reidemeister and Nielsen zeta functions modulo a normal subgroup"" ""4.1.1 Radius of Convergence of the mod K Nielsen zeta function"" |
| Record Nr. | UNINA-9910812747903321 |
|
Felʹshtyn Alexander <1952->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Dynamical, spectral, and arithmetic zeta functions : AMS Special Session on Dynamical, Spectral, and Arithmetic Zeta Functions, January 15-16, 1999, San Antonio, Texas / / Michel L. Lapidus, Machiel Van Frankenhuysen, editors
| Dynamical, spectral, and arithmetic zeta functions : AMS Special Session on Dynamical, Spectral, and Arithmetic Zeta Functions, January 15-16, 1999, San Antonio, Texas / / Michel L. Lapidus, Machiel Van Frankenhuysen, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2001] |
| Descrizione fisica | 1 online resource (210 p.) |
| Disciplina | 515/.56 |
| Collana | Contemporary mathematics |
| Soggetto topico | Functions, Zeta |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-7880-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Eigenfunctions of the transfer operators and the period functions for modular groups""; ""A note on dynamical trace formulas""; ""Small eigenvalues and Hausdorff dimension of sequences of hyperbolic three-manifolds""; ""Dynamical zeta functions and asymptotic expansions in Nielsen theory""; ""Computing the Riemann zeta function by numerical quadrature""; ""On Riemann's zeta function""; ""A prime orbit theorem for self-similar flows and Diophantine approximation""; ""The 1022-nd zero of the Riemann zeta function""
""Spectral theory, dynamics, and Selberg's zeta function for Kleinian groups""""On zeroes of automorphic L-functions""; ""Artin L-functions of graph coverings"" |
| Record Nr. | UNINA-9910480949903321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2001] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Dynamical, spectral, and arithmetic zeta functions : AMS Special Session on Dynamical, Spectral, and Arithmetic Zeta Functions, January 15-16, 1999, San Antonio, Texas / / Michel L. Lapidus, Machiel Van Frankenhuysen, editors
| Dynamical, spectral, and arithmetic zeta functions : AMS Special Session on Dynamical, Spectral, and Arithmetic Zeta Functions, January 15-16, 1999, San Antonio, Texas / / Michel L. Lapidus, Machiel Van Frankenhuysen, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2001] |
| Descrizione fisica | 1 online resource (210 p.) |
| Disciplina | 515/.56 |
| Collana | Contemporary mathematics |
| Soggetto topico | Functions, Zeta |
| ISBN | 0-8218-7880-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Eigenfunctions of the transfer operators and the period functions for modular groups""; ""A note on dynamical trace formulas""; ""Small eigenvalues and Hausdorff dimension of sequences of hyperbolic three-manifolds""; ""Dynamical zeta functions and asymptotic expansions in Nielsen theory""; ""Computing the Riemann zeta function by numerical quadrature""; ""On Riemann's zeta function""; ""A prime orbit theorem for self-similar flows and Diophantine approximation""; ""The 1022-nd zero of the Riemann zeta function""
""Spectral theory, dynamics, and Selberg's zeta function for Kleinian groups""""On zeroes of automorphic L-functions""; ""Artin L-functions of graph coverings"" |
| Record Nr. | UNINA-9910788657303321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2001] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Dynamical, spectral, and arithmetic zeta functions : AMS Special Session on Dynamical, Spectral, and Arithmetic Zeta Functions, January 15-16, 1999, San Antonio, Texas / / Michel L. Lapidus, Machiel Van Frankenhuysen, editors
| Dynamical, spectral, and arithmetic zeta functions : AMS Special Session on Dynamical, Spectral, and Arithmetic Zeta Functions, January 15-16, 1999, San Antonio, Texas / / Michel L. Lapidus, Machiel Van Frankenhuysen, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2001] |
| Descrizione fisica | 1 online resource (210 p.) |
| Disciplina | 515/.56 |
| Collana | Contemporary mathematics |
| Soggetto topico | Functions, Zeta |
| ISBN | 0-8218-7880-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Eigenfunctions of the transfer operators and the period functions for modular groups""; ""A note on dynamical trace formulas""; ""Small eigenvalues and Hausdorff dimension of sequences of hyperbolic three-manifolds""; ""Dynamical zeta functions and asymptotic expansions in Nielsen theory""; ""Computing the Riemann zeta function by numerical quadrature""; ""On Riemann's zeta function""; ""A prime orbit theorem for self-similar flows and Diophantine approximation""; ""The 1022-nd zero of the Riemann zeta function""
""Spectral theory, dynamics, and Selberg's zeta function for Kleinian groups""""On zeroes of automorphic L-functions""; ""Artin L-functions of graph coverings"" |
| Record Nr. | UNINA-9910817970603321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2001] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Local zeta functions attached to the minimal spherical series for a class of symmetric spaces / / Nicole Bopp, Hubert Rubenthaler
| Local zeta functions attached to the minimal spherical series for a class of symmetric spaces / / Nicole Bopp, Hubert Rubenthaler |
| Autore | Bopp Nicole <1947-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (250 p.) |
| Disciplina |
510 s
515/.56 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Functions, Zeta
Symmetric spaces |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0422-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Introduction""; ""Chapter 1. A Class of Real Prehomogeneous Spaces""; ""1.1. A class of graded algebras""; ""1.2. Root systems""; ""1.3. Complexification""; ""1.4. Highest root in Σ""; ""1.5. The first step for the descent""; ""1.6. The descent""; ""1.7. Generic elements in V[sup(+)]""; ""1.8. Structure of the regular graded algebra (g, H[sub(0)])""; ""1.9. Properties of the spaces E[sub(i,j)] (p, q)""; ""1.10. Normalization of the Killing form""; ""1.11. The relative invariant Î?[sub(0)]""; ""1.12. The case k = 0""; ""1.13. Properties of Î?[sub(0)]""
""1.14. The polynomials Î?[sub(j)]""""Chapter 2. The Orbits of G in V[sup(+)]""; ""2.1. Representations of sl( 2, C)""; ""2.2. First reduction""; ""2.3. An involution which permutes the roots in E[sub(i,j)(+1,+1)""; ""2.4. Construction of elements interchanging λ[sub(i)] and λ[sub(j)]""; ""2.5. Quadratic forms""; ""2.6. The G-orbits for Type III""; ""2.7. The G-orbits for Type II""; ""2.8. Signature of the quadratic forms qx[sub(i)],x[sub(j)]""; ""2.9. Action of Z[sub(G)](I[sup(+)]) for Type I""; ""2.10. The Gâ€?orbits for Type I""; ""2.11. The classification"" ""4.2. Two diffeomorphisms""""4.3. Isomorphisms between g(1), g (â€?1), V[sup(+)]( l ) and V[sup(-)](â€?1)""; ""4.4. A first normalization and its consequence""; ""4.5. A second normalization and its consequence""; ""4.6. Integral formulas on V[sup(+)] and V[sup(-)]""; ""4.7. Fourier transform of a quadratic character""; ""4.8. A relation between T[sup(-)][sub(Ff)] and T[sup(+)][sub(f)]""; ""Chapter 5. Functional Equation of the Zeta Functionfor Type I and II""; ""5.1. Definition of the local Zeta functions""; ""5.2. Existence of a functional equation for (AN, V[sup(+)])"" ""6.5. Explicit functional equation for k = 0"" |
| Record Nr. | UNINA-9910480099303321 |
|
Bopp Nicole <1947->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Local zeta functions attached to the minimal spherical series for a class of symmetric spaces / / Nicole Bopp, Hubert Rubenthaler
| Local zeta functions attached to the minimal spherical series for a class of symmetric spaces / / Nicole Bopp, Hubert Rubenthaler |
| Autore | Bopp Nicole <1947-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (250 p.) |
| Disciplina |
510 s
515/.56 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Functions, Zeta
Symmetric spaces |
| ISBN | 1-4704-0422-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Introduction""; ""Chapter 1. A Class of Real Prehomogeneous Spaces""; ""1.1. A class of graded algebras""; ""1.2. Root systems""; ""1.3. Complexification""; ""1.4. Highest root in Σ""; ""1.5. The first step for the descent""; ""1.6. The descent""; ""1.7. Generic elements in V[sup(+)]""; ""1.8. Structure of the regular graded algebra (g, H[sub(0)])""; ""1.9. Properties of the spaces E[sub(i,j)] (p, q)""; ""1.10. Normalization of the Killing form""; ""1.11. The relative invariant Î?[sub(0)]""; ""1.12. The case k = 0""; ""1.13. Properties of Î?[sub(0)]""
""1.14. The polynomials Î?[sub(j)]""""Chapter 2. The Orbits of G in V[sup(+)]""; ""2.1. Representations of sl( 2, C)""; ""2.2. First reduction""; ""2.3. An involution which permutes the roots in E[sub(i,j)(+1,+1)""; ""2.4. Construction of elements interchanging λ[sub(i)] and λ[sub(j)]""; ""2.5. Quadratic forms""; ""2.6. The G-orbits for Type III""; ""2.7. The G-orbits for Type II""; ""2.8. Signature of the quadratic forms qx[sub(i)],x[sub(j)]""; ""2.9. Action of Z[sub(G)](I[sup(+)]) for Type I""; ""2.10. The Gâ€?orbits for Type I""; ""2.11. The classification"" ""4.2. Two diffeomorphisms""""4.3. Isomorphisms between g(1), g (â€?1), V[sup(+)]( l ) and V[sup(-)](â€?1)""; ""4.4. A first normalization and its consequence""; ""4.5. A second normalization and its consequence""; ""4.6. Integral formulas on V[sup(+)] and V[sup(-)]""; ""4.7. Fourier transform of a quadratic character""; ""4.8. A relation between T[sup(-)][sub(Ff)] and T[sup(+)][sub(f)]""; ""Chapter 5. Functional Equation of the Zeta Functionfor Type I and II""; ""5.1. Definition of the local Zeta functions""; ""5.2. Existence of a functional equation for (AN, V[sup(+)])"" ""6.5. Explicit functional equation for k = 0"" |
| Record Nr. | UNINA-9910788748803321 |
|
Bopp Nicole <1947->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Local zeta functions attached to the minimal spherical series for a class of symmetric spaces / / Nicole Bopp, Hubert Rubenthaler
| Local zeta functions attached to the minimal spherical series for a class of symmetric spaces / / Nicole Bopp, Hubert Rubenthaler |
| Autore | Bopp Nicole <1947-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (250 p.) |
| Disciplina |
510 s
515/.56 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Functions, Zeta
Symmetric spaces |
| ISBN | 1-4704-0422-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Introduction""; ""Chapter 1. A Class of Real Prehomogeneous Spaces""; ""1.1. A class of graded algebras""; ""1.2. Root systems""; ""1.3. Complexification""; ""1.4. Highest root in Σ""; ""1.5. The first step for the descent""; ""1.6. The descent""; ""1.7. Generic elements in V[sup(+)]""; ""1.8. Structure of the regular graded algebra (g, H[sub(0)])""; ""1.9. Properties of the spaces E[sub(i,j)] (p, q)""; ""1.10. Normalization of the Killing form""; ""1.11. The relative invariant Î?[sub(0)]""; ""1.12. The case k = 0""; ""1.13. Properties of Î?[sub(0)]""
""1.14. The polynomials Î?[sub(j)]""""Chapter 2. The Orbits of G in V[sup(+)]""; ""2.1. Representations of sl( 2, C)""; ""2.2. First reduction""; ""2.3. An involution which permutes the roots in E[sub(i,j)(+1,+1)""; ""2.4. Construction of elements interchanging λ[sub(i)] and λ[sub(j)]""; ""2.5. Quadratic forms""; ""2.6. The G-orbits for Type III""; ""2.7. The G-orbits for Type II""; ""2.8. Signature of the quadratic forms qx[sub(i)],x[sub(j)]""; ""2.9. Action of Z[sub(G)](I[sup(+)]) for Type I""; ""2.10. The Gâ€?orbits for Type I""; ""2.11. The classification"" ""4.2. Two diffeomorphisms""""4.3. Isomorphisms between g(1), g (â€?1), V[sup(+)]( l ) and V[sup(-)](â€?1)""; ""4.4. A first normalization and its consequence""; ""4.5. A second normalization and its consequence""; ""4.6. Integral formulas on V[sup(+)] and V[sup(-)]""; ""4.7. Fourier transform of a quadratic character""; ""4.8. A relation between T[sup(-)][sub(Ff)] and T[sup(+)][sub(f)]""; ""Chapter 5. Functional Equation of the Zeta Functionfor Type I and II""; ""5.1. Definition of the local Zeta functions""; ""5.2. Existence of a functional equation for (AN, V[sup(+)])"" ""6.5. Explicit functional equation for k = 0"" |
| Record Nr. | UNINA-9910811749303321 |
|
Bopp Nicole <1947->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Zeta functions for two-dimensional shifts of finite type / / Jung-Chao Ban [and three others]
| Zeta functions for two-dimensional shifts of finite type / / Jung-Chao Ban [and three others] |
| Autore | Ban Jung-Chao <1974-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| Descrizione fisica | 1 online resource (60 p.) |
| Disciplina | 515/.56 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico | Functions, Zeta |
| ISBN | 0-8218-9457-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""Chapter 2. Periodic patterns""; ""2.1. Ordering matrices and trace operators""; ""2.2. Rotational matrices""; ""2.3. Periodic patterns""; ""Chapter 3. Rationality of _{ }""; ""Chapter 4. More symbols on larger lattice""; ""Chapter 5. Zeta functions presented in skew coordinates""; ""Chapter 6. Analyticity and meromorphic extensions of zeta functions""; ""6.1. Analyticity of zeta functions""; ""6.2. Examples""; ""Chapter 7. Equations on â??² with numbers in a finite field""
""Chapter 8. Square lattice Ising model with finite range interaction""""Bibliography"" |
| Record Nr. | UNINA-9910796030003321 |
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Ban Jung-Chao <1974->
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| Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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