From pseudodifferential analysis to modular form theory
Unterberger, André1
1 Université de Reims, Mathématiques (UMR 6056), Moulin de la Housse, B.P.1039, 51687 REIMS Cedex 2 (France)
Journées équations aux dérivées partielles (1999), article no. 15, 11 p.

Taking advantage of methods originating with quantization theory, we try to get some better hold - if not an actual construction - of Maass (non-holomorphic) cusp-forms. We work backwards, from the rather simple results to the mostly devious road used to prove them.

Unterberger, André 1

1 Université de Reims, Mathématiques (UMR 6056), Moulin de la Housse, B.P.1039, 51687 REIMS Cedex 2 (France) 
@incollection{JEDP_1999____A15_0,
     author = {Unterberger, Andr\'e},
     title = {From pseudodifferential analysis to modular form theory},
     booktitle = {},
     series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {15},
     pages = {1--11},
     publisher = {Universit\'e de Nantes},
     year = {1999},
     mrnumber = {1719006},
     language = {en},
     url = {http://archive.numdam.org/item/JEDP_1999____A15_0/}
}
TY  - JOUR
AU  - Unterberger, André
TI  - From pseudodifferential analysis to modular form theory
JO  - Journées équations aux dérivées partielles
PY  - 1999
SP  - 1
EP  - 11
PB  - Université de Nantes
UR  - http://archive.numdam.org/item/JEDP_1999____A15_0/
LA  - en
ID  - JEDP_1999____A15_0
ER  - 
%0 Journal Article
%A Unterberger, André
%T From pseudodifferential analysis to modular form theory
%J Journées équations aux dérivées partielles
%D 1999
%P 1-11
%I Université de Nantes
%U http://archive.numdam.org/item/JEDP_1999____A15_0/
%G en
%F JEDP_1999____A15_0
Unterberger, André. From pseudodifferential analysis to modular form theory. Journées équations aux dérivées partielles (1999), article  no. 15, 11 p. http://archive.numdam.org/item/JEDP_1999____A15_0/

[1] D. Bump, Automorphic Forms and Representations, Cambridge Series in Adv. Math. 55, Cambridge, 1996. | MR | Zbl

[2] H. Cohen, Sums involving the values at negative integers of L-functions of quadratic characters, Math. Ann. 217 (1975), 271-295. | MR | Zbl

[3] P.D. Lax, R.S. Phillips, Scattering Theory for Automorphic Functions, Ann. Math. Studies 87, Princeton Univ. Press, 1976. | MR | Zbl

[4] A. Terras, Harmonic analysis on symmetric spaces and applications 1, Springer-Verlag, New York-Berlin-Heidelberg-Tokyo, 1985. | MR | Zbl

[5] A. Unterberger, J. Unterberger, Algebras of Symbols and Modular Forms, J. d'Analyse Math. 68 (1996), 121-143. | MR | Zbl