A Class of Pseudo-Differential Operators Involving Hankel Convolutions

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Authors

  • Department of Mathematics, Banaras Hindu University, Varanasi-221005 ,IN
  • Department of Mathematics, Banaras Hindu University, Varanasi-221005 ,IN

Keywords:

Pseudo-Differential Operator, Hankel Transform, Hankel Convolution.

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.

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Published

2003-12-01

How to Cite

Pathak, R. S., & Tripathi, S. M. (2003). A Class of Pseudo-Differential Operators Involving Hankel Convolutions. The Journal of the Indian Mathematical Society, 70(1-4), 145–156. Retrieved from https://informaticsjournals.co.in/index.php/jims/article/view/21927