International Journal of Statistics and Applied Mathematics
  • Printed Journal
  • Indexed Journal
  • Refereed Journal
  • Peer Reviewed Journal

International Journal of Statistics and Applied Mathematics

2018, Vol. 3, Issue 1, Part E

Colombeau theory of generalized function with Leibniz’s rule


Author(s): Rama and Dr. Manjeet Jakhar

Abstract: To reveal some fundamental facts at the interaction among mathematics and the modern real world, putting in verification mathematical entities like “nonlinear generalized functions” that are required to model the modern era. In this present paper, some artefacts of distributions are illustrated. The repercussions are derived in Colombeau theory of nonlinear generalized functions, which is the quite pertinent algebraic construction for dealing with Schwartz distributions. Colombeau theory of nonlinear generalized function ₢(R) contains the space ₷(R) of Schwartz distributions as a subspace, and has a notion of mathematical ‘association’ that permits us to assess the outcomes in terms of distributions.

Pages: 384-388 | Views: 493 | Downloads: 7

Download Full Article: Click Here
How to cite this article:
Rama, Dr. Manjeet Jakhar. Colombeau theory of generalized function with Leibniz’s rule. Int J Stat Appl Math 2018;3(1):384-388.
Call for book chapter
International Journal of Statistics and Applied Mathematics