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A pair of pseudo-differential operators involving Hankel-type integral transformations

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Abstract

The main objective of this paper is to investigate a pair of pseudo-differential operators (p.d.o.) involving the Hankel-type integral transformations. The p.d.o. associated with the symbols belonging to the class \(H^{m}\) (or \(H_{0}^{m}\)) are the continuous linear mapping of the Zemanian type spaces into itself. Integral representation of p.d.o. involving first Hankel-type integral transformation is obtained.

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Authors and Affiliations

  1. Department of Applied Mathematics, Indian School of Mines, Dhanbad, 826004, India

    Akhilesh Prasad & P. K. Maurya

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  1. Akhilesh Prasad
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  2. P. K. Maurya
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Correspondence to Akhilesh Prasad.

Additional information

This work is supported by Indian school of Mines, Dhanbad, under grant No. 613002/ISM JRF/Acad/2013-2014.

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Prasad, A., Maurya, P.K. A pair of pseudo-differential operators involving Hankel-type integral transformations. J. Pseudo-Differ. Oper. Appl. 6, 135–151 (2015). https://doi.org/10.1007/s11868-014-0104-6

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  • DOI: https://doi.org/10.1007/s11868-014-0104-6

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