Hyperbolic B-Potentials: Properties and Inversion

DOI10.1007/978-3-030-49763-7_17zbMath1483.31027OpenAlexW3118354539MaRDI QIDQ5013608

Elina Leonidovna Shishkina

Publication date: 2 December 2021

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

Full work available at URL: https://doi.org/10.1007/978-3-030-49763-7_17

zbMATH Keywords

Bessel operatorfractional integral operatorsingular wave operator

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Cites Work

• General B-hypersingular integrals with homogeneous characteristic
• On the boundedness of hyperbolic Riesz B-potential
• Inversion of general Riesz \(B\)-potentials with homogeneous characteristic in weight classes of functions
• Inversion of integral of B-potential type with density from \(\Phi _{\gamma }\)
• Generalized Riesz B-potentials of the mixed type
• L'intégrale de Riemann-Liouville et le problème de Cauchy
• On the system of partial differential equations associated with Appell's function F₄
• Method of Riesz potentials applied to solution to nonhomogeneous singular wave equations
• Weighted generalized functions and hyperbolic Riesz B‐potential
• The general form of the Euler--Poisson--Darboux equation and application of transmutation method
• Bessel harmonic analysis and approximation of functions on the half-line
• Some properties of the anisotropic Riesz-Bessel potential
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