On similarity of convolution Volterra operators in Sobolev spaces

Authors

  • G. S. Romashchenko Department of Mathematics, Donets'k National University, 24 Universytets'ka, Donets'k, 83055, Ukraine 

DOI:

Keywords:

Abstract

Necessary and sufficient conditions for a convolution Volterra operator to be similar in a Sobolev space to the operator $J^\alpha$ are obtained. A criterion of similarity is obtained as well.

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Published

2006-09-25

Issue

Vol. 12 No. 3 (2006)

Section

Articles

How to Cite

Romashchenko, G. S. “On Similarity of Convolution Volterra Operators in Sobolev Spaces”. Methods of Functional Analysis and Topology, vol. 12, no. 3, Sept. 2006, pp. 286-95, https://zen.imath.kiev.ua/index.php/mfat/article/view/321.