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Integral Transforms and Special Functions Volume 18, 2007 - Issue 1
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Original Articles

On a certain class of spherical harmonic functions and singular pseudo-differential operators

I. Ekincioglu Department of Mathematics, Dumlupinar University, Kutahya, TurkeyCorrespondence[email protected]
&
A. Serbetci Department of Mathematics, Ankara University, Tandogan, 06100, Ankara, Turkey
Pages 27-38 | Received 03 Nov 2005, Published online: 14 Feb 2007
 
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Abstract

This article gives some results for the weighted spherical harmonic functions. Some relations are found between the singular integral operators generated by generalized shift operator and singular pseudo-differential operators. Finally, the boundedness of the pseudo-differential operators studied are shown.

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