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Matematicheskie Zametki, 2014, Volume 96, Issue 5, Pages 653–657
DOI: https://doi.org/10.4213/mzm10361 (Mi mzm10361) 		 
On a Class of Convolution Operators on a Finite Interval

G. M. Gubreeva, G. D. Urumb

a Poltava National Technical University named after Yuri Kondratyuk
b South Ukrainian State K. D. Ushynsky Pedagogical University
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DOI: https://doi.org/10.4213/mzm10361
Abstract: In this paper, we state criteria for the completeness of root subspaces of convolution operators on a finite interval with kernels equal to the Fourier transform of the ratio of two entire functions of exponential type from special classes. We describe a class of entire functions with a regular (in a certain sense) distribution of roots.
Keywords: convolution operator, completeness of root subspaces, Fourier transform, entire function, function of exponential type, basis property of root vectors, Hilbert–Schmidt operator.
Received: 16.09.2013
English version:
Mathematical Notes, 2014, Volume 96, Issue 5, Pages 647–650
DOI: https://doi.org/10.1134/S0001434614110030
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: G. M. Gubreev, G. D. Urum, “On a Class of Convolution Operators on a Finite Interval”, Mat. Zametki, 96:5 (2014), 653–657; Math. Notes, 96:5 (2014), 647–650
Citation in format AMSBIB
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