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Quantization and non-holomorphic modular forms

Author: André Unterberger
Publisher: Berlin ; New York : Springer, 2000.
Series: Lecture notes in mathematics (Springer-Verlag), 1742.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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,  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Unterberger, André.
Quantization and non-holomorphic modular forms.
Berlin ; New York : Springer, 2000
(DLC) 00059560
(OCoLC)44669702
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: André Unterberger
ISBN: 9783540446606 3540446605
OCLC Number: 162127650
Description: 1 online resource (vii, 253 pages).
Contents: 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.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1742.
Responsibility: André Unterberger.

Abstract:

This is a new approach to the theory of non-holomorphic modular forms, based on ideas from quantization theory or pseudodifferential analysis.  Read more...

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