Jñānābha‎, Vol. 50 (1) (2020), 79-88

KAMAL TRANSFORM OF STRONG BOEHMIANS

By

A. M. Mahajan
Department of Mathematics, Walchand College of Arts and Science
Solapur-413006,Maharashtra,India.
Email:ammahajan19@gmail.com
M. S. Chaudhary
Department of Mathematics, Shivaji University,
Vidya Nagar, Kolhapur - 416004, Maharashtra, India
Email:m s chaudhary@rediffmail.com
(Received : January 24, 2020 ; Revised: April 22, 2020)

Abstract

The concept of Boehmian was motivated by the so called regular operators introduced by T.K.Boehme. The construction of Boehmians is similar to the construction of field of quotients. Several integral transforms have been extended to various class of Boehmians. We study here Kamal transform and extend it to Strong Boehmian space. This Kamal tranform is 1-1 and continuous in the space of Boehmians. Inverse Kamal transform is also defined.

2010 Mathematics Subject Classifications: 54C40, 14E20, 46E25, 20C20.
Keywords and phrases: Kamal Transform, Convolution Theorem, Boehmians, Distribution.