A Class of Pseudo-Differential Operators Involving Hankel Convolutions

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Authors

  • R. S. Pathak
     Department of Mathematics, Banaras Hindu University, Varanasi-221005 ,IN
  • S. M. Tripathi
     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.com/index.php/jims/article/view/21927

Issue

Volume 70, Issue 1-4, January-December 2003

Section

Articles

License

Copyright (c) 2003 R. S. Pathak, S. M. Tripathi

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.