Work

A Study of Laplace-Carson Transform and Its Associated Space of Distribution

Year: 2026

Type: article

Abstract: The integral transforms are essential tools that offer powerful methods for simplifying problems across engineering, physics, and applied mathemat- ics.This paper explores the Laplace -Carson transform within the framework of distribution theory.We have developed the new test function space W and its dual W We have established fundamental existence and uniqueness theo-rem.Furthermore,we have proved the convolution theorem and theorem related to derivative of distributions in W′.Finally, we have tried to illustrate som examples of regular and singular distributions in W′.

Source: Journal of Xi'an University of Architecture & Technology

DOI: 10.5281/zenodo.18466782

Author: Fasiyoddin I. Momin, Sadikali L.Shaikh

Institution: Maulana Azad College

Language: English

Topic: Mathematical and Theoretical Analysis

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W7127281167

FWCI:

Cites:

Cited by:

Related to: