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On the Fourier inversion formula for the full modular group
Author(s):
Keith
R.
Ouellette
Journal:
Represent. Theory
15
(2011),
112-125.
MSC (2010):
Primary 22E45;
Secondary 11F72
Posted:
February 7, 2011
MathSciNet review:
2772585
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Additional information
Abstract:
We offer a new proof of the Fourier inversion and Plancherel formulae for Maass-Eisenstein wave packets. The proof uses truncation, basic analysis, and classical Fourier theory. Brief sketches of the proofs due to Langlands, Lapid, and Casselman are then presented for comparison.
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Additional Information:
Keith
R.
Ouellette
Affiliation:
Department of Mathematics, College of the Holy Cross, Worcester, Massachusetts 01610
Email:
kouellet@holycross.edu
DOI:
10.1090/S1088-4165-2011-00400-3
PII:
S 1088-4165(2011)00400-3
Received by editor(s):
October 21, 2006
Received by editor(s) in revised form:
December 10, 2010
Posted:
February 7, 2011
Copyright of article:
Copyright
2011,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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