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Generalized Hankel type transformation; Parserval relation; generalized functions (distributions); convolution

The classical generalized Hankel type convolution are defined and extended to a class of generalized functions. Algebraic properties of the convolution are explained and the existence and significance of an identity element are discussed.

S P Malgonde¹ G S Gaikawad^{1 2}

1. Department of Mathematics, College of Engineering, Kopargaon - 423 603, India
2. Department of Mathematics, S.S.G.M. College, Kopargaon - 423 601, India

Published

November 2001

Manuscript received

9 August 2000

Manuscript revised

14 February 2001