Pseudodifferential analysis, automorphic distributions in the plane and modular forms
Pseudodifferential analysis, introduced in this book in a way adapted to the needs of number theorists, relates automorphic function theory in the hyperbolic half-plane to automorphic distribution theory in the plane. Spectral-theoretic questions are discussed in one or the other environment: in the...
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| Beste egile batzuk: | |
| Formatua: | Livre numérique |
| Hizkuntza: | Anglais |
| Argitaratua: |
Basel :
Springer Basel
[20..].
Cham : Springer Nature |
| Edizioa: | 1st ed. 2011. |
| Saila: | Pseudo-Differential Operators, Theory and Applications
8 |
| Gaiak: | |
| Sarrera elektronikoa: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Oharra: |
Description d'après consultation du 22 avril 2013 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Pseudodifferential Analysis, Automorphic Distributions in the Plane and Modular Forms, Texte imprimé, 9783034801676 • Pseudodifferential Analysis, Automorphic Distributions in the Plane and Modular Forms, André Unterberger, Basel, Birkhäuser Verlag, 2011, 1 vol. (VIII - 299 p.), Pseudo-differential Operators, 3-03-480165-3 |
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|---|---|---|---|
| 001 | 973351 | ||
| 008 | 111115q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN156310295 | ||
| 020 | |a 9783034801669 | ||
| 020 | |a 9783034801669 | ||
| 041 | 0 | |a eng | |
| 082 | |a 512.7 | ||
| 084 | |a 11F37 | ||
| 084 | |a 11F72 | ||
| 084 | |a 47G30 | ||
| 100 | 1 | |a Unterberger, André, |d 1940-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Pseudodifferential analysis, automorphic distributions in the plane and modular forms |c by André Unterberger. |
| 250 | |a 1st ed. 2011. | ||
| 260 | |a Basel : |b Springer Basel. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Pseudo-Differential Operators, Theory and Applications |v 8 |x 2297-0363 | |
| 500 | |a Description d'après consultation du 22 avril 2013 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Introduction The Weyl calculus The Radon transformation and applications Automorphic functions and automorphic distributions A class of Poincaré series Spectral decomposition of the Poincaré summation process The totally radial Weyl calculus and arithmetic Should one generalize the Weyl calculus to an adelic setting? Index of notation Subject Index Bibliography. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Pseudodifferential analysis, introduced in this book in a way adapted to the needs of number theorists, relates automorphic function theory in the hyperbolic half-plane to automorphic distribution theory in the plane. Spectral-theoretic questions are discussed in one or the other environment: in the latter one, the problem of decomposing automorphic functions in according to the spectral decomposition of the modular Laplacian gives way to the simpler one of decomposing automorphic distributions in R2 into homogeneous components. The Poincaré summation process, which consists in building automorphic distributions as series of g-transforms, for g Î SL(2;Z), of some initial function, say in S(R2), is analyzed in detail. On , a large class of new automorphic functions or measures is built in the same way: one of its features lies in an interpretation, as a spectral density, of the restriction of the zeta function to any line within the critical strip. The book is addressed to a wide audience of advanced graduate students and researchers working in analytic number theory or pseudo-differential analysis. | ||
| 650 | |a Transformations de Radon | ||
| 700 | 1 | |a Wong, M.W. |4 pbd | |
| 776 | 0 | |t Pseudodifferential Analysis, Automorphic Distributions in the Plane and Modular Forms |b Texte imprimé |z 9783034801676 | |
| 776 | 0 | |0 155409409 |t Pseudodifferential Analysis, Automorphic Distributions in the Plane and Modular Forms |f André Unterberger |c Basel |n Birkhäuser Verlag |d 2011 |p 1 vol. (VIII - 299 p.) |s Pseudo-differential Operators |z 3-03-480165-3 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-0348-0166-9 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-LT8RJSV0-Q |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750613610 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-0348-0166-9 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753972476 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-0348-0166-9 |z Accès INSA CVL | |
| 997 | |0 973351 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||