Fourier sine (cosine) transform for ultradistributions and their extensions to tempered and ultraBoehmian spaces

Abstract

This paper deals with ultradistributions for the Fourier sine (cosine) transform on a certain dual testing function space and tempered Boehmian and ultraBoehmian spaces.

Keywords:

• Fourier sine (cosine) transform
• ultradistributions
• tempered distribution
• tempered Boehmians; ultraBoehmian

2000 Mathematics Subject Classifications:

• 42A38
• 46F20
• 46F99 (46F30)

Acknowledgements

This work is partially supported by NBHM (DAE, India) Post-Doctoral Fellowship no. 40/7/2005/R&D-II/37, sanctioned to second author (DL).