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The Universality of the Radon Transform$
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Leon Ehrenpreis

Print publication date: 2003

Print ISBN-13: 9780198509783

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198509783.001.0001

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PERIODS OF EISENSTEIN AND POINCARÉ SERIES

PERIODS OF EISENSTEIN AND POINCARÉ SERIES

Chapter:
(p.580) 10 PERIODS OF EISENSTEIN AND POINCARÉ SERIES
Source:
The Universality of the Radon Transform
Author(s):

Leon Ehrenpreis

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198509783.003.0010

This chapter shows how the book's main theory applies to computing the periods of Eisenstein and Poincaré series. Our Poincaré series are eigenfunctions of the Laplacian, and they arise naturally in the theory. In particular, the periods of the Poincaré series are Kloosterman sums.

Keywords:   Eisenstein series, Poincaré series, eigenfunctions, Laplacian, Kloosterman

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