From pseudodifferential analysis to modular form theory

André Unterberger

Journées équations aux dérivées partielles (1999)

  • page 1-11
  • ISSN: 0752-0360

Abstract

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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.

How to cite

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Unterberger, André. "From pseudodifferential analysis to modular form theory." Journées équations aux dérivées partielles (1999): 1-11. <http://eudml.org/doc/93372>.

@article{Unterberger1999,
abstract = {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.},
author = {Unterberger, André},
journal = {Journées équations aux dérivées partielles},
language = {eng},
pages = {1-11},
publisher = {Université de Nantes},
title = {From pseudodifferential analysis to modular form theory},
url = {http://eudml.org/doc/93372},
year = {1999},
}

TY - JOUR
AU - Unterberger, André
TI - From pseudodifferential analysis to modular form theory
JO - Journées équations aux dérivées partielles
PY - 1999
PB - Université de Nantes
SP - 1
EP - 11
AB - 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.
LA - eng
UR - http://eudml.org/doc/93372
ER -

References

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  1. [1] D. Bump, Automorphic Forms and Representations, Cambridge Series in Adv. Math. 55, Cambridge, 1996. Zbl0868.11022MR97k:11080
  2. [2] H. Cohen, Sums involving the values at negative integers of L-functions of quadratic characters, Math. Ann. 217 (1975), 271-295. Zbl0311.10030MR52 #3080
  3. [3] P.D. Lax, R.S. Phillips, Scattering Theory for Automorphic Functions, Ann. Math. Studies 87, Princeton Univ. Press, 1976. Zbl0362.10022MR58 #27768
  4. [4] A. Terras, Harmonic analysis on symmetric spaces and applications 1, Springer-Verlag, New York-Berlin-Heidelberg-Tokyo, 1985. Zbl0574.10029MR87f:22010
  5. [5] A. Unterberger, J. Unterberger, Algebras of Symbols and Modular Forms, J. d'Analyse Math. 68 (1996), 121-143. Zbl0857.43015MR97i:11044

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