Entrelacement de co-Poisson

Details Entrelacement de co-Poisson Entrelacement de co-Poisson

2004-07-26

arxiv.org/abs/math/0407443v3

Annales de l'institut Fourier, 57 no. 2 (2007), p. 525-602

Mathematics

Number Theory

70 pages, in French; v3: extended section 4.G. Other minor changes recapitulated on last page of paper

Scientific paper

Une danse avec co-Poisson: 1 Introduction: Sommes, Propriete de support, Co-sommes, Mellin et dz\^eta, Fonctions entieres et meromorphes 2 Docteur Poisson et Mister Co: Des theoremes de co-Poisson, Lemmes sur les sommes et les co-sommes, Preuve du theoreme 2.4, Un theoreme de Poisson presque s\^ur, Formule integrale de co-Poisson, Sommes de Riemann, Un autre theoreme de co-Poisson ponctuel 3 Etudes sur une formule de M\"untz: Dz\^eta et Mellin, Distributions temperees et formule de M\"untz, La transformation de Fourier de la fonction dz\^eta, Fonctions de carres integrables 4 Entrelacement et fonctions meromorphes: Convolution multiplicative, Le theoreme d'entrelacement, Transformation de Mellin, Propriete S et transformees de Mellin entieres, Fonctions moderees et propriete S, Distributions homogenes et quasi-homogenes, Propriete S-etendue et fonctions meromorphes, Exemples ----- A dance with co-Poisson: 1 Introduction 2 Dr Poisson and Mister Co 3 Studies on a formula of M\"untz 4 Intertwining and meromorphic functions

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