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1. / Audrey Terras
| 1. / Audrey Terras |
| Autore | Terras, Audrey |
| Pubbl/distr/stampa | New York, : Springer-Verlag, 1985 |
| Descrizione fisica | xv, 341 p. : ill. ; 24 cm |
| Soggetto topico |
11-XX - Number theory [MSC 2020]
43A85 - Analysis on homogeneous spaces [MSC 2020] 43-XX - Abstract harmonic analysis [MSC 2020] 11F70 - Representation-theoretic methods; automorphic representations over local and global fields [MSC 2020] 11F03 - Modular and automorphic functions [MSC 2020] 11F67 - Special values of automorphic $L$-series, periods of automorphic forms, cohomology, modular symbols [MSC 2020] 33C80 - Connections of hypergeometric functions with groups and algebras, and related topics [MSC 2020] 22E30 - Analysis on real and complex Lie groups [MSC 2020] 58C40 - Spectral theory; eigenvalue problems on manifolds [MSC 2020] 11M35 - Hurwitz and Lerch zeta functions [MSC 2020] |
| Soggetto non controllato |
Analysis
Boundary Element Methods Coordinate Transformations Diophantine Equations Distribution Equations Fourier analysis Fourier series Generalized functions Harmonic analysis Integrals Medicine Metric spaces Spaces Zeta functions |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0268774 |
Terras, Audrey
|
||
| New York, : Springer-Verlag, 1985 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
1. / Audrey Terras
| 1. / Audrey Terras |
| Autore | Terras, Audrey |
| Pubbl/distr/stampa | New York, : Springer-Verlag, 1985 |
| Descrizione fisica | xv, 341 p. : ill. ; 24 cm |
| Soggetto topico |
11-XX - Number theory [MSC 2020]
11F03 - Modular and automorphic functions [MSC 2020] 11F67 - Special values of automorphic $L$-series, periods of automorphic forms, cohomology, modular symbols [MSC 2020] 11F70 - Representation-theoretic methods; automorphic representations over local and global fields [MSC 2020] 11M35 - Hurwitz and Lerch zeta functions [MSC 2020] 22E30 - Analysis on real and complex Lie groups [MSC 2020] 33C80 - Connections of hypergeometric functions with groups and algebras, and related topics [MSC 2020] 43-XX - Abstract harmonic analysis [MSC 2020] 43A85 - Analysis on homogeneous spaces [MSC 2020] 58C40 - Spectral theory; eigenvalue problems on manifolds [MSC 2020] |
| Soggetto non controllato |
Analysis
Boundary Element Methods Coordinate Transformations Diophantine Equations Distribution Equations Fourier Analysis Fourier series Generalized functions Harmonic analysis Integrals Medicine Metric Spaces Spaces Zeta functions |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Since its beginnings with Fourier (and as far back as the Babylonian astron omers), harmonic analysis has been developed with the goal of unraveling the mysteries of the physical world of quasars, brain tumors, and so forth, as well as the mysteries of the nonphysical, but no less concrete, world of prime numbers, diophantine equations, and zeta functions. Quoting Courant and Hilbert, in the preface to the first German edition of Methods of Mathematical Physics: "Recent trends and fashions have, however, weakened the connection between mathematics and physics. " Such trends are still in evidence, harmful though they may be. My main motivation in writing these notes has been a desire to counteract this tendency towards specialization and describe appli cations of harmonic analysis in such diverse areas as number theory (which happens to be my specialty), statistics, medicine, geophysics, and quantum physics. I remember being quite surprised to learn that the subject is useful. My graduate eduation was that of the 1960s. The standard mathematics graduate course proceeded from Definition 1. 1. 1 to Corollary 14. 5. 59, with no room in between for applications, motivation, history, or references to related work. My aim has been to write a set of notes for a very different sort of course. |
| Record Nr. | UNICAMPANIA-VAN00268774 |
|
Terras, Audrey
|
||
| New York, : Springer-Verlag, 1985 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
2. / Audrey Terras
| 2. / Audrey Terras |
| Autore | Terras, Audrey |
| Pubbl/distr/stampa | New York, : Springer-Verlag, 1988 |
| Descrizione fisica | xi, 385 p. : ill. ; 24 cm |
| Soggetto topico |
11-XX - Number theory [MSC 2020]
43A85 - Analysis on homogeneous spaces [MSC 2020] 53C35 - Differential geometry of symmetric spaces [MSC 2020] 43-XX - Abstract harmonic analysis [MSC 2020] 11F27 - Theta series; Weil representation; theta correspondences [MSC 2020] 33C80 - Connections of hypergeometric functions with groups and algebras, and related topics [MSC 2020] 22E30 - Analysis on real and complex Lie groups [MSC 2020] 11M35 - Hurwitz and Lerch zeta functions [MSC 2020] |
| Soggetto non controllato |
Automorphic forms
Boundary Element Methods Differential operators Distribution Functions Geometry Integration Matrices Metric spaces Modular forms Multivariate statistics Statistics Theta functions |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0269027 |
|
Terras, Audrey
|
||
| New York, : Springer-Verlag, 1988 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
2. / Audrey Terras
| 2. / Audrey Terras |
| Autore | Terras, Audrey |
| Pubbl/distr/stampa | New York, : Springer-Verlag, 1988 |
| Descrizione fisica | xi, 385 p. : ill. ; 24 cm |
| Soggetto topico |
11-XX - Number theory [MSC 2020]
11F27 - Theta series; Weil representation; theta correspondences [MSC 2020] 11M35 - Hurwitz and Lerch zeta functions [MSC 2020] 22E30 - Analysis on real and complex Lie groups [MSC 2020] 33C80 - Connections of hypergeometric functions with groups and algebras, and related topics [MSC 2020] 43-XX - Abstract harmonic analysis [MSC 2020] 43A85 - Analysis on homogeneous spaces [MSC 2020] 53C35 - Differential geometry of symmetric spaces [MSC 2020] |
| Soggetto non controllato |
Automorphic Forms
Boundary Element Methods Differential Operators Distribution Functions Geometry Integrations Matrices Metric Spaces Modular forms Multivariate statistics Statistics Theta functions |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Well, finally, here it is-the long-promised "Revenge of the Higher Rank Symmetric Spaces and Their Fundamental Domains." When I began work on it in 1977, I would probably have stopped immediately if someone had told me that ten years would pass before I would declare it "finished." Yes, I am declaring it finished-though certainly not perfected. There is a large amount of work going on at the moment as the piles of preprints reach the ceiling. Nevertheless, it is summer and the ocean calls. So I am not going to spend another ten years revising and polishing. But, gentle reader, do send me your corrections and even your preprints. Thanks to your work, there is an Appendix at the end of this volume with corrections to Volume I. I said it all in the Preface to Volume I. So I will try not to repeat myself here. Yes, the "recent trends" mentioned in that Preface are still just as recent. |
| Record Nr. | UNICAMPANIA-VAN00269027 |
|
Terras, Audrey
|
||
| New York, : Springer-Verlag, 1988 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Harmonic analysis on symmetric spaces and applications / Audrey Terras
| Harmonic analysis on symmetric spaces and applications / Audrey Terras |
| Autore | Terras, Audrey |
| Pubbl/distr/stampa | New York, : Springer-Verlag, 1985-1988 |
| Descrizione fisica | 2 volumi : ill. ; 24 cm |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0268773 |
|
Terras, Audrey
|
||
| New York, : Springer-Verlag, 1985-1988 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Harmonic analysis on symmetric spaces and applications / Audrey Terras
| Harmonic analysis on symmetric spaces and applications / Audrey Terras |
| Autore | Terras, Audrey |
| Pubbl/distr/stampa | New York, : Springer-Verlag, 1985-1988 |
| Descrizione fisica | 2 volumi : ill. ; 24 cm |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00268773 |
|
Terras, Audrey
|
||
| New York, : Springer-Verlag, 1985-1988 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Harmonic analysis on symmetric spaces and applications I / by TERRAS Audrey
| Harmonic analysis on symmetric spaces and applications I / by TERRAS Audrey |
| Autore | Terras, Audrey |
| Pubbl/distr/stampa | New York [etc.] : Springer-Verlag, 1985 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-990001200320403321 |
|
Terras, Audrey
|
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| New York [etc.] : Springer-Verlag, 1985 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Harmonic analysis on symmetric spaces—higher rank spaces, positive definite matrix space and generalizations / Audrey Terras
| Harmonic analysis on symmetric spaces—higher rank spaces, positive definite matrix space and generalizations / Audrey Terras |
| Autore | Terras, Audrey |
| Edizione | [2. ed] |
| Pubbl/distr/stampa | New York, : Springer, 2016 |
| Descrizione fisica | XV, 487 p. : ill. ; 24 cm |
| Soggetto topico |
43A85 - Analysis on homogeneous spaces [MSC 2020]
43-XX - Abstract harmonic analysis [MSC 2020] 11F66 - Langlands $L$-functions; one variable Dirichlet series and functional equations [MSC 2020] 11F30 - Fourier coefficients of automorphic forms [MSC 2020] 22E30 - Analysis on real and complex Lie groups [MSC 2020] 22E40 - Discrete subgroups of Lie groups [MSC 2020] 22F30 - Homogeneous spaces [MSC 2020] 11F60 - Hecke-Petersson operators, differential operators (several variables) [MSC 2020] |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-SUN0114834 |
|
Terras, Audrey
|
||
| New York, : Springer, 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Harmonic analysis on symmetric spaces—higher rank spaces, positive definite matrix space and generalizations / Audrey Terras
| Harmonic analysis on symmetric spaces—higher rank spaces, positive definite matrix space and generalizations / Audrey Terras |
| Autore | Terras, Audrey |
| Edizione | [2. ed] |
| Pubbl/distr/stampa | New York, : Springer, 2016 |
| Descrizione fisica | XV, 487 p. : ill. ; 24 cm |
| Soggetto topico |
43A85 - Analysis on homogeneous spaces [MSC 2020]
43-XX - Abstract harmonic analysis [MSC 2020] 11F66 - Langlands $L$-functions; one variable Dirichlet series and functional equations [MSC 2020] 11F30 - Fourier coefficients of automorphic forms [MSC 2020] 22E30 - Analysis on real and complex Lie groups [MSC 2020] 22E40 - Discrete subgroups of Lie groups [MSC 2020] 22F30 - Homogeneous spaces [MSC 2020] 11F60 - Hecke-Petersson operators, differential operators (several variables) [MSC 2020] |
| Soggetto non controllato |
Automorphic forms
Combinatorics Eisenstein Series Harish-Chandra c-function Harmonic analysis Helgason-Fourier transform Modular group Poisson summation formula Polar and Iwasawa coordinates Selberg trace formula Symmetric spaces |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0114834 |
|
Terras, Audrey
|
||
| New York, : Springer, 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Harmonic analysis on symmetric spaces—higher rank spaces, positive definite matrix space and generalizations / Audrey Terras
| Harmonic analysis on symmetric spaces—higher rank spaces, positive definite matrix space and generalizations / Audrey Terras |
| Autore | Terras, Audrey |
| Edizione | [2. ed] |
| Pubbl/distr/stampa | New York, : Springer, 2016 |
| Descrizione fisica | XV, 487 p. : ill. ; 24 cm |
| Soggetto topico |
11F30 - Fourier coefficients of automorphic forms [MSC 2020]
11F60 - Hecke-Petersson operators, differential operators (several variables) [MSC 2020] 11F66 - Langlands $L$-functions; one variable Dirichlet series and functional equations [MSC 2020] 22E30 - Analysis on real and complex Lie groups [MSC 2020] 22E40 - Discrete subgroups of Lie groups [MSC 2020] 22F30 - Homogeneous spaces [MSC 2020] 43-XX - Abstract harmonic analysis [MSC 2020] 43A85 - Analysis on homogeneous spaces [MSC 2020] |
| Soggetto non controllato |
Automorphic Forms
Combinatorics Eisenstein Series Harish-Chandra c-function Harmonic analysis Helgason-Fourier transform Modular Groups Poisson summation formula Polar and Iwasawa coordinates Selberg trace formula Symmetric spaces |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00114834 |
|
Terras, Audrey
|
||
| New York, : Springer, 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
