Satish Chavhan

Integral Transform of Generalized Functions and Their Applications: a Study of Some Integral Transforms of Generalized Functions Satish Chavhan

This book is desined as an introduction to theory and applications of integral transform to problems in linear differential equation,optical system analysis signal processing. The conventional canonical cosine transforms has been extended up to the distribution of compact support by using the kernel method, the same approach has been employed in case of sine transform. The most striking result in both the chapters are inversion theorems for generalized canonical cosine transforms and canonical sine transforms, Uniqueness theorems etc. Some operation transform formulae for generalized canonical cosine transforms and for generalized canonical sine transform and some basic properties of canonical cosine and sine transforms including modulation theorems and properties of Kernels have been provrd