\(p\)-adic Bessel \(\alpha\)-potentials and some of their applications
From MaRDI portal
Publication:6592854
DOI10.1007/s11868-024-00613-2zbMATH Open1547.35794MaRDI QIDQ6592854
Anselmo Torresblanca-Badillo, Francisco Arias, J. Ospino
Publication date: 26 August 2024
Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)
Sobolev spacesMarkov processesheat kernelFeller semigroupspseudo-differential operators\(p\)-adic analysis
Pseudodifferential operators as generalizations of partial differential operators (35S05) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On \(L_1\)-weak ergodicity of nonhomogeneous discrete Markov processes and its applications
- On \(L_1\)-weak ergodicity of nonhomogeneous continuous-time Markov processes
- Functional spaces and functional completion
- Dissipative operators in a Banach space
- Theory of Bessel potentials. I
- Elliptic pseudodifferential equations and Sobolev spaces over \(p\)-adic fields
- Stochastic \(p\)-adic equations of mathematical physics
- Ultrametric diffusion, exponential landscapes, and the first passage time problem
- Non-Archimedean generalized Bessel potentials and their applications
- Non-Archimedean pseudo-differential operators on Sobolev spaces related to negative definite functions
- Some classes of non-Archimedean pseudo-differential operators related to Bessel potentials
- Construction of \(p\)-adic covariant quantum fields in the framework of white noise analysis
- Non-Archimedean pseudodifferential operators and Feller semigroups
- Non-Archimedean white noise, pseudodifferential stochastic equations, and massive Euclidean fields
- Harmonic analysis in the \(p\)-adic Lizorkin spaces: Fractional operators, pseudo-differential equations, \(p\)-adic wavelets, Tauberian theorems
- Pseudo-differential equations and stochastics over non-Archimedean fields
- Bessel Potential Operators for Canonical Lipschitz Domains
- Fourier Analysis on Local Fields. (MN-15)
- Bessel (Riesz) potentials on banach function spaces and their applications I theory
- Ultrametric Pseudodifferential Equations and Applications
- Generalized Bessel potential and its application to non-homogeneous singular screened Poisson equation
- Boundary value problems and Markov processes
- Theory of generalized Bessel potential space and functional completion
This page was built for publication: \(p\)-adic Bessel \(\alpha\)-potentials and some of their applications