Quantization and Non-holomorphic Modular Forms
This is a new approach to the theory of non-holomorphic modular forms, based on ideas from quantization theory or pseudodifferential analysis. Extending the Rankin-Selberg method so as to apply it to the calculation of the Roelcke-Selberg decomposition of the product of two Eisenstein series, one le...
Shranjeno v:
| Glavni avtor: | |
|---|---|
| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Serija: | Lecture notes in mathematics
1742 |
| Teme: | |
| Online dostop: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
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| Edition sous un autre format: | • Quantization and non-holomorphic modular forms, André Unterberger, 2000, Berlin, Springer, 1 vol. (VII-253 p.), Lecture notes in mathematics, 3-540-67861-1 • Quantization and Non-holomorphic Modular Forms, Texte imprimé, 9783662172988 |
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| 100 | 1 | |a Unterberger, André, |d 1940-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Quantization and Non-holomorphic Modular Forms |c André Unterberger. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1742 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Distributions associated with the non-unitary principal series -- Modular distributions -- The principal series of SL(2, ?) and the Radon transform -- Another look at the composition of Weyl symbols -- The Roelcke-Selberg decomposition and the Radon transform -- Recovering the Roelcke-Selberg coefficients of a function in L 2(???) -- The product of two Eisenstein distributions -- The roelcke-selberg expansion of the product of two eisenstein series: the continuous part -- A digression on kloosterman sums -- The roelcke-selberg expansion of the product of two eisenstein series: the discrete part -- The expansion of the poisson bracket of two eisenstein series -- Automorphic distributions on ?2 -- The Hecke decomposition of products or Poisson brackets of two Eisenstein series -- A generating series of sorts for Maass cusp-forms -- Some arithmetic distributions -- Quantization, products and Poisson brackets -- Moving to the forward light-cone: the Lax-Phillips theory revisited -- Automorphic functions associated with quadratic PSL(2, ?)-orbits in P 1(?) -- Quadratic orbits: a dual problem. | |
| 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 This is a new approach to the theory of non-holomorphic modular forms, based on ideas from quantization theory or pseudodifferential analysis. Extending the Rankin-Selberg method so as to apply it to the calculation of the Roelcke-Selberg decomposition of the product of two Eisenstein series, one lets Maass cusp-forms appear as residues of simple, Eisenstein-like, series. Other results, based on quantization theory, include a reinterpretation of the Lax-Phillips scattering theory for the automorphic wave equation, in terms of distributions on R2 automorphic with respect to the linear action of SL(2,Z). | ||
| 650 | |a Quantification géométrique | ||
| 650 | |a Formes modulaires | ||
| 650 | |a Mathématiques | ||
| 650 | |a Nombres, Théorie des | ||
| 776 | 0 | |0 068869495 |t Quantization and non-holomorphic modular forms |f André Unterberger |d 2000 |c Berlin |n Springer |p 1 vol. (VII-253 p.) |s Lecture notes in mathematics |z 3-540-67861-1 | |
| 776 | 0 | |t Quantization and Non-holomorphic Modular Forms |b Texte imprimé |z 9783662172988 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0104036 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-F9ZSWCTN-V |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750676582 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0104036 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754024873 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0104036 |z Accès INSA CVL | |
| 997 | |0 969201 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||