Titchmarsh convolution theorem
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].
|[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|
Titchmarsh convolution theorem. Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Titchmarsh_convolution_theorem&oldid=32413