The Journal of the Indian Mathematical Society

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A Class of Pseudo-Differential Operators Involving Hankel Convolutions


Affiliations
1 Department of Mathematics, Banaras Hindu University, Varanasi-221005, India
     

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A pseudo-differential operator hμva involving Hankel transforms, which maps the Zemanian space Hμ into Hv, is defined. An integral representation for hμva is given and an L1-boundedness result is obtained.

Keywords

Pseudo-Differential Operator, Hankel Transform, Hankel Convolution.
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  • A Class of Pseudo-Differential Operators Involving Hankel Convolutions

Abstract Views: 251  |  PDF Views: 0

Authors

R. S. Pathak
Department of Mathematics, Banaras Hindu University, Varanasi-221005, India
S. M. Tripathi
Department of Mathematics, Banaras Hindu University, Varanasi-221005, India

Abstract


A pseudo-differential operator hμva involving Hankel transforms, which maps the Zemanian space Hμ into Hv, is defined. An integral representation for hμva is given and an L1-boundedness result is obtained.

Keywords


Pseudo-Differential Operator, Hankel Transform, Hankel Convolution.