Paired integral operators with homogeneous kernels perturbated by operators of multiplicative shift

DOI10.23671/VNC.2018.1.11392zbMath1487.45015MaRDI QIDQ4970031

O. G. Avsyankin, Alisa Markovna Koval'Chuk

Publication date: 14 October 2020

Published in: Владикавказский математический журнал (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vmj638

zbMATH Keywords

integral operatorspherical harmonicsreversibilityhomogeneous kernelmultiplicative shiftpair operator

Mathematics Subject Classification ID

Integral operators (45P05) Integral operators (47G10) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07) Integral equations with miscellaneous special kernels (45H05)

Cites Work

• Multidimensional integral operators with homogeneous kernels and with coefficients oscillating at infinity
• On the \(C^*\)-algebra generated by multidimensional integral operators with homogeneous kernels and multiplicative translations
• Projection method for integral operators with homogeneous kernels perturbed by one-sided multiplicative shifts
• Boundedness and compactness of multidimensional integral operators with homogeneous kernels
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