Abstract
A generalization of the cross-correlation operation of the Schwartz distributions is considered, and some properties of this operation are established.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
V. S. Vladimirov, Generalized Functions in Mathematical Physics [in Russian], Nauka, Moscow (1979).
K. Iosida, Functional Analysis, Springer, Berlin (1965).
V. I. Parygin and V. N. Balakshii, Optical Processing of Information [in Russian], Moscow State University, Moscow (1987).
A. P. Robertson and W. Robertson, Topological Vector Spaces, 2nd ed., Cambridge University Press, Cambridge (1973).
A. Grothendieck, “Produits tensoriel topologues et espaces nucleaire, ” Mem. Amer. Math. Soc., 16, No. 11, 1–140 (1955).
S. V. Sharin and O. V. Lopushansky, “Operator calculus for convolution algebras of Schwartz distributions on the semiaxis, ” Transactions of the Lviv Mathematical Society, Mathematical Studies, 7, No. 1, 61–72 (1997).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Sharin, S.V. The Cross-Correlation Operation of Schwartz Distributions. Journal of Mathematical Sciences 107, 3604–3609 (2001). https://doi.org/10.1023/A:1011950408930
Issue Date:
DOI: https://doi.org/10.1023/A:1011950408930