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This article is cited in 8 scientific papers (total in 8 papers)
Absolute convergence of expansions in eigen- and adjoint functions of
an integral operator with a variable limit of integration
V. V. Kornev, A. P. Khromov
Abstract:
We establish an analogue of Zygmund's criterion for the absolute
convergence of trigonometric Fourier series for expansions in eigen- and
adjoint functions of the integral operator
$Af(x)=\int_0^{1-x}A(1-x,t)f(t)\,dt$.
Received: 05.03.2004
Citation:
V. V. Kornev, A. P. Khromov, “Absolute convergence of expansions in eigen- and adjoint functions of
an integral operator with a variable limit of integration”, Izv. Math., 69:4 (2005), 703–717
Linking options:
https://www.mathnet.ru/eng/im647https://doi.org/10.1070/IM2005v069n04ABEH001655 https://www.mathnet.ru/eng/im/v69/i4/p59
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