Difference between revisions of "Titchmarsh convolution theorem"
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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]]]. | 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==== | ====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 | + | <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 $\mathbf Z$" ''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> |
Latest revision as of 16:13, 10 July 2014
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
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