G. S. Romashchenko

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Articles: 2

On similarity of convolution Volterra operators in Sobolev spaces

G. S. Romashchenko

↓ Abstract   |   Article (.pdf)

Methods Funct. Anal. Topology 12 (2006), no. 3, 286-295

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.

Spectral analysis of positive powers of the integration operator in Sobolev spaces

G. S. Romashchenko

Methods Funct. Anal. Topology 10 (2004), no. 1, 63-74

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