Watson convolution on special distributional space

Abstract

This article contains results of Watson convolution and translation. For this, a space of multipliers on the space T(λ, μ) is developed. A continuity result for Watson translation is obtained. Also, a structure theorem is developed to study the continuity result for convolution of two distributions.

Keywords:

• Watson transform
• Watson convolution
• Fourier kernel
• Generalized functions
• Distributions of compact support
• Operators

AMS Subject Classifications::

• 46F10
• 46F12
• 46F05