The Carleman kernel and its applications

DOI10.1134/S0037446612060055zbMath1279.45003OpenAlexW2057234462MaRDI QIDQ1935735

F. N. Garif'yanov, S. A. Modina

Publication date: 19 February 2013

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

Full work available at URL: https://doi.org/10.1134/s0037446612060055

zbMATH Keywords

moment problemCarleman kerneldifference equationCarleman boundary value problem

Mathematics Subject Classification ID

Additive difference equations (39A10) Moment problems (44A60) Integral equations with kernels of Cauchy type (45E05)

Related Items (14)

A summary equation for functions holomorphic outside two quadrangles, with application ⋮ Interpolation problems for entire functions induced by regular hexagons ⋮ Sum-difference equation for analytic functions generated by triangle and its applications ⋮ Polyelement functional equations related to the Carleman kernel and their applications ⋮ Functional equation induced by a half-disk and its application ⋮ Functional equation with holomorphic coefficients related to a finite group ⋮ On applications of the dihedral group to interpolation problems for entire functions ⋮ On a functional equation with holomorphic coefficients associated with a finite group ⋮ Unnamed Item ⋮ Sum-difference equation for analytic functions, generated by a hexagon, and its applications ⋮ Multielement equations for analytic functions in the plane with cuts ⋮ On functional equations related to a dihedral group ⋮ Sum-difference equation for analytic functions generated by pentagon and its application ⋮ Biorthogonal systems of analytic functions generated by a regular triangle

Cites Work

• On a certain difference equation and its application to the moment problem.
• Boundary value problems in the theory of analytic functions in Hölder classes on Riemann surfaces
• Riemann surfaces
• Stieltjes moments of entire functions of exponential type
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