For citation:
Khalova V. A., Khromov A. P. Integral Operators with Non-smooth Involution. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, vol. 13, iss. 1, pp. 40-45. DOI: 10.18500/1816-9791-2013-13-1-1-40-45, EDN: SMXXIF
This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online:
15.02.2013
Full text:
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Language:
Russian
Heading:
UDC:
517.984
EDN:
SMXXIF
Integral Operators with Non-smooth Involution
Autors:
Khalova Victoria Anatol'evna, Saratov State University
Khromov August Petrovich, Saratov State University
Abstract:
The equiconvergence of expansions in eigen- and associated functions of integral operators with non-smooth involution and trigonometric Fourier series are established.
Key words:
References:
- Хромов А. П., Кувардина Л. П. О равносходимости разложений по собственным функциям интегрального оператора с инволюцией // Изв. вузов. Математика. 2008. № 5. С. 67–76. [Kuvardina L. P., Khromov A. P. The equiconvergence of expansions in eigenfunctions and associated functions of an integral operator with involution // Russian Math. (Izv. VUZ. Matematika). 2008. Vol. 52, № 5. P. 58—66.]
- Хромов А. П. О равносходимости разложений по собственным функциям интегральных операторов с переменными пределами интегрирования // Интегральные преобразования и специальные функции : Информ. бюл. 2006. Т. 6, № 1. С. 46–55. [Khromov A. P. The equiconvergence of expansions in eigenfunctions and associated functions of an integral operators with variable limits of integration (in Russian) // Integral Transforms and Special Functions. Inform. Byulleten. 2006. Vol. 6, № 1. P. 46–55.]
Received:
10.08.2012
Accepted:
07.01.2013
Published:
15.02.2013
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