Geodesic
On a Class of Convolution Operators on a Finite Interval
Matematičeskie zametki, Tome 96 (2014) no. 5, pp. 653-657

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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, entire function, function of exponential type, basis property of root vectors, Hilbert–Schmidt operator.
Mots-clés : Fourier transform 
@article{MZM_2014_96_5_a1,
     author = {G. M. Gubreev and G. D. Urum},
     title = {On a {Class} of {Convolution} {Operators} on a {Finite} {Interval}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {653--657},
     publisher = {mathdoc},
     volume = {96},
     number = {5},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2014_96_5_a1/}
}
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G. M. Gubreev; G. D. Urum. On a Class of Convolution Operators on a Finite Interval. Matematičeskie zametki, Tome 96 (2014) no. 5, pp. 653-657. http://geodesic.mathdoc.fr/item/MZM_2014_96_5_a1/