Complex powers of degenerate differential operators connected with the Klein-Gordon-Fock operator

DOI10.3103/S1066369X09090011zbMath1188.47038OpenAlexW1978356878MaRDI QIDQ1037084

D. V. Vozhzhov, V. A. Nogin

Publication date: 13 November 2009

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x09090011

zbMATH Keywords

fractional powersapproximative inverse operatorKlein-Gordon-Fock operatorpotential-type operator

Mathematics Subject Classification ID

Potential operators (47G40)

Related Items (1)

A Cauchy-type problem with a sequential fractional derivative in the space of continuous functions

Cites Work

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• Complex powers of second order non-homogeneous elliptic differential operators with degenerating symbols in the spaces \(L_p(\mathbb{R}^n)\)
• Complex powers of the telegraph operator and close operators in \(L_p\) spaces
• Inversion of potential-type operators with symbols degenerate on hyperboloids and paraboloids
• Function spaces connected with klein-gordon integral transforms
• Inversion theorems for poterntial-type integral transforms in a and ons^n-1
• 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
• Integral transforms related to complex powers of the generalized Schrödinger operator

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