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2004-2005 Remarks on some theorems on convolution.
Mubariz T. Karaev
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Real Anal. Exchange 30(2): 877-882 (2004-2005).


We discuss relations between the Titchmarsh convolution theorem, the Kierat-Skornik theorem on convolutions and the Brodski-Sakhnovich-Donoghue theorem on cyclic vectors of the Volterra integration operator $V$ given by $Vf\left( x\right) =\int_{0}^{x}f\left( t\right) dt,$ on a space $L^{p}[0,1],\;1\leq p<\infty .$


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Mubariz T. Karaev. "Remarks on some theorems on convolution.." Real Anal. Exchange 30 (2) 877 - 882, 2004-2005.


Published: 2004-2005
First available in Project Euclid: 15 October 2005

zbMATH: 1103.47025
MathSciNet: MR2177446

Primary: 47B47

Keywords: convolution , cyclic vector , Titchmarsh's convolution theorem

Rights: Copyright © 2004 Michigan State University Press

Vol.30 • No. 2 • 2004-2005
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