View source for Titchmarsh convolution theorem

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

====References====
<table><TR><TD valign="top">[a1]</TD> <TD valign="top">  S. Grabiner,   "Weighted convolution algebras and their homomorphisms"  J. Zamanek (ed.) , ''Functional Analysis and Operator Theory'' , Banach Centre  (1994)  pp. 175–190</TD></TR><TR><TD valign="top">[a2]</TD> <TD valign="top">  A.A. Borichev,   "A Titchmarsh type convolution theorem in the group <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/t/t120/t120110/t1201101.png" />"  ''Ark. Mat.'' , '''27''' :  2  (1989)  pp. 179–187</TD></TR><TR><TD valign="top">[a3]</TD> <TD valign="top">  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</TD></TR></table>