A family of anisotropic integral operators and behavior of its maximal eigenvalue

DOI10.4171/JST/19zbMath1236.45001arXiv1106.0127OpenAlexW2088368695MaRDI QIDQ656198

Alexander V. Sobolev, Boris S. Mityagin

Publication date: 16 January 2012

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.0127

zbMATH Keywords

asymptoticseigenvaluessuperconductivitypseudo-differential operatorscompact integral operatorspositivity improving integral operators

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Asymptotics of solutions to integral equations (45M05) Integral operators (45P05) Integral operators (47G10) Eigenvalue problems for integral equations (45C05)

Related Items (2)

Extreme eigenvalues of an integral operator ⋮ On determination of positive-definiteness for an anisotropic operator

Cites Work

• An anisotropic integral operator in high temperature superconductivity
• On compactness of commutators of multiplications and convolutions, and boundedness of pseudodifferential operators
• The L 2 -Boundedness of Pseudodifferential Operators
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