Inversion of potential-type operators with symbols degenerate on hyperboloids and paraboloids

DOI10.1007/S11006-006-0200-XzbMath1132.47042OpenAlexW1985886550MaRDI QIDQ2460488

V. A. Nogin, D. V. Vozhzhov

Publication date: 12 November 2007

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

Full work available at URL: https://doi.org/10.1007/s11006-006-0200-x

zbMATH Keywords

Gauss-Weierstrass kernelapproximative inverse operatorsPotential operatorsFourier tarnsfrormsLizorkin class

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Integral operators (47G10) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (2)

Complex powers of some degenerate differential operators related to the Helmholtz operator ⋮ Complex powers of degenerate differential operators connected with the Klein-Gordon-Fock operator

Cites Work

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• Inversion and description of generalized Riesz potentials with quadratic characteristics
• Hypersingular Integrals of Marchaud Type and the Inversion Problem for Potentials
• Method of approximating inverse operators and its applications to the inversion of potential-type integral transforms

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