Publication Cover
Applicable Analysis
An International Journal
Volume 58, 1995 - Issue 3-4
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Original Articles

Research announcement asymptotics of pdo on discontinuous functions near singular support

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Pages 383-390 | Published online: 02 May 2007
 

Abstract

Let β be a pseudo-differential operator (PDO) with a real-valued symbol satisfying asymptotic condition where b is a strictly positive C function on the unit sphere in R2. Let Ff denote the Fourier transform of f . We consider the action of the PDO on functions with discontinuities and analyze the asymptotic behavior of B f in a neighborhood of a discontinuity curve S of f . Applicationsof the obtained results in computer tomography are illustrated.

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