International Journal of Research in Engineering and Applied Sciences

  • Year: 2016
  • Volume: 6
  • Issue: 10

Inversion theorem for Laplace-Weierstrass transform

  • Author:
  • V. N. Mahalle1, S.S. Mathurkar2, R. D. Taywade3
  • Total Page Count: 12
  • DOI:
  • Page Number: 75 to 86

1Assistant Professor, Department of Mathematics, Bar. R.D.I.K.N.K.D. College, Badnera Railway, Maharashtra, India

2Assistant Professor, Department of Mathematics, Government College of Engineering, Amravati, Maharashtra, India

3Assistant Professor, Department of Mathematics, Prof. Ram Meghe Institute of Technology & Research, Badnera, Amravati, Maharashtra, India

Abstract

We know that for the application of an integral transform, the main condition is the validity of the inversion theorem which allows one to find an unknown function by knowing its image. Keeping this in view, in the present paper we have proved the inversion theorem by proving some lemmas required for the proof of inversion theorem for Laplace-Weierstrass transform. Also uniqueness theorem is proved.

Keywords

Laplace transform, Weierstrass transform, Laplace-Weierstrass transform, testing function space