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Geometry and analysis of automorphic forms of several variables [[electronic resource] ] : proceedings of the international symposium in honor of Takayuki Oda on the occasion of his 60th birthday, Tokyo, Japan, 14-17 September, 2009 / / editors, Yoshinori Hamahata ... [et al.]
| Geometry and analysis of automorphic forms of several variables [[electronic resource] ] : proceedings of the international symposium in honor of Takayuki Oda on the occasion of his 60th birthday, Tokyo, Japan, 14-17 September, 2009 / / editors, Yoshinori Hamahata ... [et al.] |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific, c2012 |
| Descrizione fisica | 1 online resource (388 p.) |
| Disciplina | 515.94 |
| Altri autori (Persone) |
OdaTakayuki
HamahataYoshinori |
| Collana | Series on number theory and its application |
| Soggetto topico |
Geometry
Automorphic forms |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-280-37603-1
9786613555410 981-4355-60-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Program of symposium; Contents; The Birch and Swinnerton-Dyer conjecture for Q-curves and Oda's period relations Henri Darmon, Victor Rotger and Yu Zhao; 1. Introduction; 2. Background; 2.1. The Birch and Swinnerton-Dyer conjecture in low analytic rank; 2.2. Oda's period relations and ATR points; 3. The Birch and Swinnerton-Dyer conjecture for Q-curves; 3.1. Review of Q-curves; 3.2. The main result; 4. Heegner points on Shimura's elliptic curves; 4.1. An explicit Heegner point construction; 4.2. Heegner points and ATR cycles; 4.3. Numerical examples; 4.4. Proof of Proposition 4.1
ReferencesThe supremum of Newton polygons of p-divisible groups with a given p-kernel type Shushi Harashita; 1. Introduction; 2. A catalogue of p-divisible groups with a given type; 3. Preliminaries on F-zips; 4. Lifting of F-zips; 5. A reduction of the problem; 6. Extensions by a minimal p-divisible group; 7. Proof of Proposition 5.2; References; Borcherds lifts on Sp2(Z) Bernhard Heim and Atsushi Murase; 1. Introduction and the main results; 1.1. Introduction; 1.2. Siegel modular forms; 1.3. The organization of the paper; 1.4. Notation; 2. Borcherds lifts; 2.1. Jacobi forms 2.2. Humbert surfaces2.3. Siegel modular forms with a nontrivial character; 2.4. Borcherds lifts on; 2.5. Examples of Borcherds lifts; 3. Proof of the main results; 3.1. The multiplicative symmetry; 3.2. A characterization of powers of the modular discriminant; 3.3. The multiplicative symmetry for Sym2(Mk( 1)); 3.4. Proofs of Theorem 1.1 and Theorem 1.2 (i); 4. The weight formula; 4.1. Cohen numbers; 4.2. The weight formula for Borcherds lifts; Acknowledgement; References; The archimedean Whittaker functions on GL(3) Miki Hirano, Taku Ishii and Tadashi Miyazaki; 1. Introduction 2. Preliminaries2.1. Notation; 2.2. Basic objects; 2.3. Whittaker functions on Gn; 2.5. The contragradient Whittaker functions; 2.6. The generalized principal series representations of Gn = GL(n; R); 2.7. The principal series representations of Gn = GL(n; C); 3. Whittaker functions on G3 = GL(3; R); 3.1. Irreducible representations of K3 = O(3); 3.2. Whittaker functions on G3 = GL(3; R) at the minimal K3-types; 3.3. Whittaker functions on G3 = GL(3; R) at the multiplicity one K3-types; 4. Whittaker functions on G3 = GL(3; C); 4.1. Irreducible representations of K3 = U(3) 4.2. Whittaker functions on G3 = GL(3 C) at the minimal K3-types; 5. The archimedean local theory of the standard L-functions for GL(n1) GL(n2) (n1 > n2); 5.1. The local Langlands correspondence for GL(n) over R; 5.2. The local Langlands correspondence for GL(n) over C; 5.3. The archimedean zeta integrals for GL(n1) GL(n2) (n1 > n2); 6. Calculus of the archimedean zeta integrals; 6.1. The archimedean zeta integrals for GL(3) GL(1); 6.2. The proof of Theorem 6.1; 6.3. The archimedean zeta integrals for GL(3) GL(2); References Arithmetic properties of p-adic elliptic logarithmic functions Noriko Hirata-Kohno |
| Record Nr. | UNINA-9910457431203321 |
| Singapore ; ; Hackensack, N.J., : World Scientific, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometry and analysis of automorphic forms of several variables [[electronic resource] ] : proceedings of the international symposium in honor of Takayuki Oda on the occasion of his 60th birthday, Tokyo, Japan, 14-17 September, 2009 / / editors, Yoshinori Hamahata ... [et al.]
| Geometry and analysis of automorphic forms of several variables [[electronic resource] ] : proceedings of the international symposium in honor of Takayuki Oda on the occasion of his 60th birthday, Tokyo, Japan, 14-17 September, 2009 / / editors, Yoshinori Hamahata ... [et al.] |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific, c2012 |
| Descrizione fisica | 1 online resource (388 p.) |
| Disciplina | 515.94 |
| Altri autori (Persone) |
OdaTakayuki
HamahataYoshinori |
| Collana | Series on number theory and its application |
| Soggetto topico |
Geometry
Automorphic forms |
| ISBN |
1-280-37603-1
9786613555410 981-4355-60-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Program of symposium; Contents; The Birch and Swinnerton-Dyer conjecture for Q-curves and Oda's period relations Henri Darmon, Victor Rotger and Yu Zhao; 1. Introduction; 2. Background; 2.1. The Birch and Swinnerton-Dyer conjecture in low analytic rank; 2.2. Oda's period relations and ATR points; 3. The Birch and Swinnerton-Dyer conjecture for Q-curves; 3.1. Review of Q-curves; 3.2. The main result; 4. Heegner points on Shimura's elliptic curves; 4.1. An explicit Heegner point construction; 4.2. Heegner points and ATR cycles; 4.3. Numerical examples; 4.4. Proof of Proposition 4.1
ReferencesThe supremum of Newton polygons of p-divisible groups with a given p-kernel type Shushi Harashita; 1. Introduction; 2. A catalogue of p-divisible groups with a given type; 3. Preliminaries on F-zips; 4. Lifting of F-zips; 5. A reduction of the problem; 6. Extensions by a minimal p-divisible group; 7. Proof of Proposition 5.2; References; Borcherds lifts on Sp2(Z) Bernhard Heim and Atsushi Murase; 1. Introduction and the main results; 1.1. Introduction; 1.2. Siegel modular forms; 1.3. The organization of the paper; 1.4. Notation; 2. Borcherds lifts; 2.1. Jacobi forms 2.2. Humbert surfaces2.3. Siegel modular forms with a nontrivial character; 2.4. Borcherds lifts on; 2.5. Examples of Borcherds lifts; 3. Proof of the main results; 3.1. The multiplicative symmetry; 3.2. A characterization of powers of the modular discriminant; 3.3. The multiplicative symmetry for Sym2(Mk( 1)); 3.4. Proofs of Theorem 1.1 and Theorem 1.2 (i); 4. The weight formula; 4.1. Cohen numbers; 4.2. The weight formula for Borcherds lifts; Acknowledgement; References; The archimedean Whittaker functions on GL(3) Miki Hirano, Taku Ishii and Tadashi Miyazaki; 1. Introduction 2. Preliminaries2.1. Notation; 2.2. Basic objects; 2.3. Whittaker functions on Gn; 2.5. The contragradient Whittaker functions; 2.6. The generalized principal series representations of Gn = GL(n; R); 2.7. The principal series representations of Gn = GL(n; C); 3. Whittaker functions on G3 = GL(3; R); 3.1. Irreducible representations of K3 = O(3); 3.2. Whittaker functions on G3 = GL(3; R) at the minimal K3-types; 3.3. Whittaker functions on G3 = GL(3; R) at the multiplicity one K3-types; 4. Whittaker functions on G3 = GL(3; C); 4.1. Irreducible representations of K3 = U(3) 4.2. Whittaker functions on G3 = GL(3 C) at the minimal K3-types; 5. The archimedean local theory of the standard L-functions for GL(n1) GL(n2) (n1 > n2); 5.1. The local Langlands correspondence for GL(n) over R; 5.2. The local Langlands correspondence for GL(n) over C; 5.3. The archimedean zeta integrals for GL(n1) GL(n2) (n1 > n2); 6. Calculus of the archimedean zeta integrals; 6.1. The archimedean zeta integrals for GL(3) GL(1); 6.2. The proof of Theorem 6.1; 6.3. The archimedean zeta integrals for GL(3) GL(2); References Arithmetic properties of p-adic elliptic logarithmic functions Noriko Hirata-Kohno |
| Record Nr. | UNINA-9910778806903321 |
| Singapore ; ; Hackensack, N.J., : World Scientific, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometry and analysis of automorphic forms of several variables [[electronic resource] ] : proceedings of the international symposium in honor of Takayuki Oda on the occasion of his 60th birthday, Tokyo, Japan, 14-17 September, 2009 / / editors, Yoshinori Hamahata ... [et al.]
| Geometry and analysis of automorphic forms of several variables [[electronic resource] ] : proceedings of the international symposium in honor of Takayuki Oda on the occasion of his 60th birthday, Tokyo, Japan, 14-17 September, 2009 / / editors, Yoshinori Hamahata ... [et al.] |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific, c2012 |
| Descrizione fisica | 1 online resource (388 p.) |
| Disciplina | 515.94 |
| Altri autori (Persone) |
OdaTakayuki
HamahataYoshinori |
| Collana | Series on number theory and its application |
| Soggetto topico |
Geometry
Automorphic forms |
| ISBN |
1-280-37603-1
9786613555410 981-4355-60-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Program of symposium; Contents; The Birch and Swinnerton-Dyer conjecture for Q-curves and Oda's period relations Henri Darmon, Victor Rotger and Yu Zhao; 1. Introduction; 2. Background; 2.1. The Birch and Swinnerton-Dyer conjecture in low analytic rank; 2.2. Oda's period relations and ATR points; 3. The Birch and Swinnerton-Dyer conjecture for Q-curves; 3.1. Review of Q-curves; 3.2. The main result; 4. Heegner points on Shimura's elliptic curves; 4.1. An explicit Heegner point construction; 4.2. Heegner points and ATR cycles; 4.3. Numerical examples; 4.4. Proof of Proposition 4.1
ReferencesThe supremum of Newton polygons of p-divisible groups with a given p-kernel type Shushi Harashita; 1. Introduction; 2. A catalogue of p-divisible groups with a given type; 3. Preliminaries on F-zips; 4. Lifting of F-zips; 5. A reduction of the problem; 6. Extensions by a minimal p-divisible group; 7. Proof of Proposition 5.2; References; Borcherds lifts on Sp2(Z) Bernhard Heim and Atsushi Murase; 1. Introduction and the main results; 1.1. Introduction; 1.2. Siegel modular forms; 1.3. The organization of the paper; 1.4. Notation; 2. Borcherds lifts; 2.1. Jacobi forms 2.2. Humbert surfaces2.3. Siegel modular forms with a nontrivial character; 2.4. Borcherds lifts on; 2.5. Examples of Borcherds lifts; 3. Proof of the main results; 3.1. The multiplicative symmetry; 3.2. A characterization of powers of the modular discriminant; 3.3. The multiplicative symmetry for Sym2(Mk( 1)); 3.4. Proofs of Theorem 1.1 and Theorem 1.2 (i); 4. The weight formula; 4.1. Cohen numbers; 4.2. The weight formula for Borcherds lifts; Acknowledgement; References; The archimedean Whittaker functions on GL(3) Miki Hirano, Taku Ishii and Tadashi Miyazaki; 1. Introduction 2. Preliminaries2.1. Notation; 2.2. Basic objects; 2.3. Whittaker functions on Gn; 2.5. The contragradient Whittaker functions; 2.6. The generalized principal series representations of Gn = GL(n; R); 2.7. The principal series representations of Gn = GL(n; C); 3. Whittaker functions on G3 = GL(3; R); 3.1. Irreducible representations of K3 = O(3); 3.2. Whittaker functions on G3 = GL(3; R) at the minimal K3-types; 3.3. Whittaker functions on G3 = GL(3; R) at the multiplicity one K3-types; 4. Whittaker functions on G3 = GL(3; C); 4.1. Irreducible representations of K3 = U(3) 4.2. Whittaker functions on G3 = GL(3 C) at the minimal K3-types; 5. The archimedean local theory of the standard L-functions for GL(n1) GL(n2) (n1 > n2); 5.1. The local Langlands correspondence for GL(n) over R; 5.2. The local Langlands correspondence for GL(n) over C; 5.3. The archimedean zeta integrals for GL(n1) GL(n2) (n1 > n2); 6. Calculus of the archimedean zeta integrals; 6.1. The archimedean zeta integrals for GL(3) GL(1); 6.2. The proof of Theorem 6.1; 6.3. The archimedean zeta integrals for GL(3) GL(2); References Arithmetic properties of p-adic elliptic logarithmic functions Noriko Hirata-Kohno |
| Record Nr. | UNINA-9910821506503321 |
| Singapore ; ; Hackensack, N.J., : World Scientific, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Global calculus / S. Ramanan
| Global calculus / S. Ramanan |
| Autore | Ramanan, S. <1937-> (Sundamaran) |
| Pubbl/distr/stampa | Providence : American mathematical society, c2005 |
| Descrizione fisica | XI, 316 p. ; 26 cm |
| Disciplina | 515.94 |
| Collana | Graduate studies in mathematics |
| Soggetto non controllato |
Geometria algebrica - Presentazione di ricerche
Spazi analitici Geometria differenziale |
| ISBN | 0-8218-3702-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-990008870580403321 |
Ramanan, S. <1937-> (Sundamaran)
|
||
| Providence : American mathematical society, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces [[electronic resource] ] : A Sharp Theory / / by Ryan Alvarado, Marius Mitrea
| Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces [[electronic resource] ] : A Sharp Theory / / by Ryan Alvarado, Marius Mitrea |
| Autore | Alvarado Ryan |
| Edizione | [1st ed. 2015.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
| Descrizione fisica | 1 online resource (VIII, 486 p. 17 illus., 12 illus. in color.) |
| Disciplina | 515.94 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Fourier analysis
Functions of real variables Functional analysis Measure theory Differential equations Fourier Analysis Real Functions Functional Analysis Measure and Integration Differential Equations |
| ISBN | 3-319-18132-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction. - Geometry of Quasi-Metric Spaces -- Analysis on Spaces of Homogeneous Type -- Maximal Theory of Hardy Spaces -- Atomic Theory of Hardy Spaces -- Molecular and Ionic Theory of Hardy Spaces -- Further Results -- Boundedness of Linear Operators Defined on Hp(X) -- Besov and Triebel-Lizorkin Spaces on Ahlfors-Regular Quasi-Metric Spaces. |
| Record Nr. | UNISA-996198527603316 |
|
Alvarado Ryan
|
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces [[electronic resource] ] : A Sharp Theory / / by Ryan Alvarado, Marius Mitrea
| Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces [[electronic resource] ] : A Sharp Theory / / by Ryan Alvarado, Marius Mitrea |
| Autore | Alvarado Ryan |
| Edizione | [1st ed. 2015.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
| Descrizione fisica | 1 online resource (VIII, 486 p. 17 illus., 12 illus. in color.) |
| Disciplina | 515.94 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Fourier analysis
Functions of real variables Functional analysis Measure theory Differential equations Fourier Analysis Real Functions Functional Analysis Measure and Integration Differential Equations |
| ISBN | 3-319-18132-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction. - Geometry of Quasi-Metric Spaces -- Analysis on Spaces of Homogeneous Type -- Maximal Theory of Hardy Spaces -- Atomic Theory of Hardy Spaces -- Molecular and Ionic Theory of Hardy Spaces -- Further Results -- Boundedness of Linear Operators Defined on Hp(X) -- Besov and Triebel-Lizorkin Spaces on Ahlfors-Regular Quasi-Metric Spaces. |
| Record Nr. | UNINA-9910131386903321 |
|
Alvarado Ryan
|
||
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Holomorphic functions of several variables : an introduction to the fundamental theory / Ludger Kaup, Burchard Kaup ; with the assist. of Gottfried Barthel ; transl. Michael Bridgland
| Holomorphic functions of several variables : an introduction to the fundamental theory / Ludger Kaup, Burchard Kaup ; with the assist. of Gottfried Barthel ; transl. Michael Bridgland |
| Autore | Kaup, Ludger |
| Pubbl/distr/stampa | Berlin ; New York : Walter de Gruyter, 1983 |
| Descrizione fisica | xiii, 349 p. ; 24 cm. |
| Disciplina | 515.94 |
| Altri autori (Persone) |
Kaup, Burchardauthor
Barthel, Gottfried Bridgland, Michael |
| Collana | De Gruyter studies in mathematics ; 3 |
| Soggetto topico | Several complex variables |
| ISBN | 3110041502 |
| Classificazione |
AMS 32-01
AMS 32-XX QA331.K374 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | en |
| Record Nr. | UNISALENTO-991000983779707536 |
|
Kaup, Ludger
|
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| Berlin ; New York : Walter de Gruyter, 1983 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Holomorphic functions, domains of holomorphy and local properties / Leopoldo Nachbin
| Holomorphic functions, domains of holomorphy and local properties / Leopoldo Nachbin |
| Autore | NACHBIN, Leopoldo |
| Pubbl/distr/stampa | Amsterdam [etc.] : North-Holland publishing, copyr. 1972 |
| Descrizione fisica | VII, 122 p. ; 24 cm |
| Disciplina | 515.94 |
| Collana | North-Holland mathematics studies |
| Soggetto topico | Funzioni olomorfe |
| ISBN | 07204-2041-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-990003342320203316 |
|
NACHBIN, Leopoldo
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| Amsterdam [etc.] : North-Holland publishing, copyr. 1972 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Holomorphic functions, domains of holomorphy and local properties / Leopoldo Nachbin ; notes prepared by Richard M. Aron
| Holomorphic functions, domains of holomorphy and local properties / Leopoldo Nachbin ; notes prepared by Richard M. Aron |
| Autore | Nachbin, Leopoldo |
| Pubbl/distr/stampa | Amsterdam : North-Holland, 1972 |
| Descrizione fisica | vii, 122 p. ; 24 cm |
| Disciplina | 515.94 |
| Altri autori (Persone) | Aron, Richard M. |
| Collana | North-Holland mathematics studies, 0304-0208 ; 1 |
| Soggetto topico |
Domains of holomorphy
Holomorphic functions |
| ISBN | 0720420415 |
| Classificazione |
AMS 32A
AMS 32A10 AMS 32D05 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000983699707536 |
|
Nachbin, Leopoldo
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| Amsterdam : North-Holland, 1972 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Holomorphiegebiete, pseudokonvexe Gebiete und das Levi-Problem / Rolf Peter Pflug
| Holomorphiegebiete, pseudokonvexe Gebiete und das Levi-Problem / Rolf Peter Pflug |
| Autore | Pflug, Rolf Peter |
| Pubbl/distr/stampa | Berlin [etc.] : Springer, 1975 |
| Descrizione fisica | VI, 210 p. ; 25 cm. |
| Disciplina | 515.94 |
| Collana | Lecture notes in mathematics |
| Soggetto topico |
Funzioni di variabile complessa
Operatori lineari |
| ISBN | 3-540-07027-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ger |
| Record Nr. | UNIBAS-000013382 |
|
Pflug, Rolf Peter
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| Berlin [etc.] : Springer, 1975 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. della Basilicata | ||
| ||
