CONTENTS:- 1. Introduction; 2. Fractional fourier transform of tempered distributions; 3. Fractional fourier transform of distributions of compact support; 4. Fractional fourier transform on howell's space; 5. Fractional fourier transform on Ultra-Distributions of compact support; 6. On fourier - Hankel transform of distributions of compact support; 7. On Fourier - Hankel transformation of Ultra-distributions;
The impact of generalized functions on integral transformations has recently revolutionalised the theory of "Generalised integral transformations". The subject of this research work arises from the confluence of the two mathematical disciplines - the theory of integral transformations and the theory of generalized functions. This book presents author's work/investigations in the field of integrals transformations of generalized functions. This book presents author's work/investigations in the field of integral transformations of generalized functions; which provides a comprehensive analysis of some of the important integral transforms and renders particular attention to all the technical aspects of the subject.