A unified extension of Stieltjes and Poisson transforms to Boehmians

Author: Roopkumar R.  

Publisher: Taylor & Francis Ltd

ISSN: 1065-2469

Source: Integral Transforms and Special Functions, Vol.22, Iss.3, 2011-03, pp. : 195-206

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Abstract

Continuity of the generalized Stieltjes-Poisson transform on compactly supported distributions is proved and convolution theorem is also obtained. Applying the convolution theorem, generalized Stieltjes-Poisson transform is extended as a linear continuous map from compactly supported Boehmians into analytic Boehmians satisfying the convolution theorem.