The Steinhaus theorem on equiconvergence for functional-differential operators

DOI10.1134/S0001434611070030zbMath1237.34122OpenAlexW2069633038MaRDI QIDQ764008

M. Sh. Burlutskaya, Avgoust P. Khromov

Publication date: 13 March 2012

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434611070030

zbMATH Keywords

Dirac operatorFourier seriesLipschitz conditionequiconvergence of seriesfunctional-differential operatorSteinhaus theorem

Mathematics Subject Classification ID

Boundary value problems for functional-differential equations (34K10) Spectral theory of functional-differential operators (34K08)

Related Items (4)

Riesz basis property of system of root functions of second-order differential operator with involution ⋮ Method of similar operators in the study of spectral properties of perturbed first-order differential operators ⋮ Some properties of functional-differential operators with involution \(\nu(x)=1-x\) and their applications ⋮ Spectral properties of first-order differential operators with an involution and groups of operators

Cites Work

• On the equiconvergence of eigenfunction expansions for a first-order functional-differential operator on a cycle-containing graph with two edges
• A functional-differential operator with involution
• Integral operators with kernels that are discontinuous on broken lines
• Equiconvergence of expansions in eigenfunctions of integral operators with kernels that can have discontinuities on the diagonals

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