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This article is cited in 1 scientific paper (total in 1 paper)
Mathematics
On Convergence of Riesz Means of the Expansions in Eigen and Associated Functions of Integral Operator with Kernel Having Jumps on Broken Lines
O. A. Koroleva Saratov State University
Abstract:
This paper deals with necessary and sufficient conditions of uniform convergence of generalized Riesz means for expansions in eigen and associated functions of an integral operator whose kernel suffers jumps at the sides of the square inscribed in the unit square.
Key words:
resolvent, characteristic number, eigenfunctions and associated functions, generalized Riesz means.
Citation:
O. A. Koroleva, “On Convergence of Riesz Means of the Expansions in Eigen and Associated Functions of Integral Operator with Kernel Having Jumps on Broken Lines”, Izv. Saratov Univ. Math. Mech. Inform., 13:1(2) (2013), 63–67
Linking options:
https://www.mathnet.ru/eng/isu376 https://www.mathnet.ru/eng/isu/v13/i2/p63
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Abstract page: | 203 | Full-text PDF : | 70 | References: | 40 |
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