Abstract
The existence of the neutrix convolution product of distributionx r− Inx − andx −3+ is proved and some convolution products are evaluated.
Similar content being viewed by others
References
Antosik P, Mikusinski J and Sikorski R,Theory of distributions — the sequential approach (PWN and Elsevier) (1973)
van der Corput J G, Introduction to the neutrix calculus,J. Analyse Math. 7 (1959–1960) 291–398
Fisher B, Neutrices and the convolution of distribution,Unv. u Novam Sadu Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. 17 (1987) 119–135
Fisher B and Kaminski A, The neutrix convolution product of distributions Inx − andx r+ Proceedings Steklov Inst. Math. 3 (1995) 233–244
Gel’fand I M and Shilov G E,Generalized Functions (Academic Press) (1964) vol. I
Hoskins R and Pinto J S,Distributions, ultradistributions and other generallized functions. (Ellis Horwood) (1994)
Horvath J,Topological vector spaces and distributions (Addison-Wesley, Reading, MA) (1966)
Jones D S, The convolution of generalized functions,Quart. J. Math. 24 (1973) 145–163
Özçag E and Kanzu H, A result on neutrix convolution of distributions,Indian J. Pure Appl. Math. (to appear)
Vladimirov V S, Equations of mathematical physics,Nauka (Moskow) (1968); English translation, (New York: Marcel Dekker) (1971)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Özçag, E. On the neutrix convolution product ofx r− Inx − andx −3+ . Proc. Indian Acad. Sci. (Math. Sci.) 108, 41–49 (1998). https://doi.org/10.1007/BF03161310
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF03161310