Inversion of Hyperbolic B-Potentials
DOI10.1007/978-3-030-35914-0_12zbMath1501.47088OpenAlexW3015368653MaRDI QIDQ3296653
Publication date: 1 July 2020
Published in: Trends in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-35914-0_12
Green formulageneralized translationfractional power of singular hyperbolic operatorLorentz distancesingular Bessel differential operatorhyperbolic Riesz \(B\)-potentialmultidimensional Hankel transform
Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fractional derivatives and integrals (26A33) General theory of ordinary differential operators (47E05) General theory of partial differential operators (47F05) Integral operators (47G10)
Cites Work
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- Weighted mixed spherical means and singular ultrahyperbolic equation
- On a Kipriyanov problem for a singular ultrahyperbolic equation
- General B-hypersingular integrals with homogeneous characteristic
- On the boundedness of hyperbolic Riesz B-potential
- Optimal embeddings of generalized Bessel and Riesz potentials
- Fractional calculus for scientists and engineers.
- The cone of rearrangements for generalized Bessel potentials
- Inversion of general Riesz \(B\)-potentials with homogeneous characteristic in weight classes of functions
- Inversion of integral of B-potential type with density from \(\Phi _{\gamma }\)
- Integral properties of generalized Bessel potentials
- Generalized Riesz B-potentials of the mixed type
- The Sobolev theorem for the Riesz \(B\)-potentials
- Representation of solutions to the one-dimensional Schrödinger equation in terms of Neumann series of Bessel functions
- Formulas for the solution of the Cauchy problem for a singular wave equation with Bessel time operator
- Introduction to fractional and pseudo-differential equations with singular symbols
- Estimation of the uniform modulus of continuity of the generalized Bessel potential
- L'intégrale de Riemann-Liouville et le problème de Cauchy
- ON WEIGHTED GENERALIZED FUNCTIONS ASSOCIATED WITH QUADRATIC FORMS
- The Stein-Weiss type inequalities for the B-Riesz potentials
- Applied Pseudoanalytic Function Theory
- Applications of integral transforms composition method (ITCM) to wave-type singular differential equations and index shift transmutations
- A Neumann series of Bessel functions representation for solutions of perturbed Bessel equations
- 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
- 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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