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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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RADON TRANSFORM AS THE INTERRELATION OF GEOMETRY AND ANALYSIS

RADON TRANSFORM AS THE INTERRELATION OF GEOMETRY AND ANALYSIS

Chapter:
(p.474) 8 RADON TRANSFORM AS THE INTERRELATION OF GEOMETRY AND ANALYSIS
Source:
The Universality of the Radon Transform
Author(s):

Leon Ehrenpreis

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198509783.003.0008

This chapter deals with various questions which are related to the Radon transform, for example, the analog for forms, Selberg's trace formula. It gives a sharpening of the classical Euler-Maclaurin sum formula — it is regarded here as a “truncated Poisson summation formula” and other truncations are introduced. The chapter suggests a “compact trick” which shows how to pass from compact to noncompact forms regarding the Plancherel formula.

Keywords:   Selberg's trace formula, Euler-Maclaurin, truncated Poisson summation formula, compact trick, Plancherel formula

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