Namespaces
Variants
Actions

Titchmarsh convolution theorem

From Encyclopedia of Mathematics
Revision as of 16:13, 10 July 2014 by Ivan (talk | contribs) (TeX)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

The convolution algebra of suitable functions or series has no zero divisors. See Operational calculus or [a2], [a3]. For related matters, such as ideals and homomorphisms of convolution algebras, see [a1].

References

[a1] S. Grabiner, "Weighted convolution algebras and their homomorphisms" J. Zamanek (ed.) , Functional Analysis and Operator Theory , Banach Centre (1994) pp. 175–190
[a2] A.A. Borichev, "A Titchmarsh type convolution theorem in the group $\mathbf Z$" Ark. Mat. , 27 : 2 (1989) pp. 179–187
[a3] I.V. Ostrovskii, "Generalization of the Titchmarsh convolution theorem and complex-valued measures uniquely determined by their restriction to a half-line" , Stability Problems for Stochastic Models , Lecture Notes Math. , 1155 , Springer (1985) pp. 256–283
How to Cite This Entry:
Titchmarsh convolution theorem. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Titchmarsh_convolution_theorem&oldid=13922
This article was adapted from an original article by M. Hazewinkel (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article