EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 40(54), pp. 85--98 (1986)

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ASYMPTOTIC PROPERTIES OF THE RADON TRANSFORM IN $R^n$

William O. Bray

Department of Mathematics, University of Maine at Orono Orono, Maine 04473, USA

Abstract: The notion of regular variation in {\bf R}$^n$ introduced by Yakymiv [6] is used to study the asymptotic properties of the Radon and dual Radon transform of {\bf R}$^n$. As a corollary, an $n$-dimensional version of a theorem of Aljanci\'c, Bojani\'c and Tomi\'c [5] is proved. This corollary complements results of Ostrogorski [8].

Classification (MSC2000): 44A15, 26B35

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