This article is cited in 4 papers

On the convolution operator on a finite interval

Yu. I. Lyubarskii


Abstract: In this paper a convolution operator whose kernel is the Fourier transform of a rational function is studied on a finite interval. Criteria are found for completeness and basicity of the root system of such an operator.
Bibliography: 9 titles.

UDC: 517.5

MSC: Primary 47G05, 47A10; Secondary 47B05, 46B15, 46E30

Received: 09.12.1975

 English version: Mathematics of the USSR-Izvestiya, 1977, 11:3, 583–611

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