International Journal of Engineering, Science and Mathematics

  • Year: 2018
  • Volume: 7
  • Issue: 4

Pseudo-Differential type Operators and Their Multiplication involving Hankel type Convolution

  • Author:
  • B.B. Waphare1, Satish Gajbhiv2,3
  • Total Page Count: 13
  • DOI:
  • Page Number: 65 to 77

1Principal, MAEER's MIT Arts, Science and Commerce College, Alandi, Pune

2Rsearch Scholar, Savitribai Phule Pune University

3Assistant Professor, MIT Academy of Engineering, Alandi, Pune

Abstract

In the present paper we have defined pseudo-differential type operators A(x, D), B(y, D) in terms of two symbols. Further the multiplication of these two operators aldo defined. It is also shown that the pseudodifferential type opeartor and multiplication of pseudo-differential type operators are bounded in certain Sobolev type space associated with the Hankel type transform. Finally some special cases are studied.

Keywords

Pseudo differential-type operator, Hankel type convolution, Bessel type operator, Hankel type transform, Sobolev type space