Hörmander classes of pseudo-differential operators over the compact group of \(p\)-adic integers
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Publication:779749
DOI10.1134/S2070046620020053zbMath1446.35276arXiv1912.11402OpenAlexW3025022228MaRDI QIDQ779749
Juan Pablo Velasquez-Rodriguez
Publication date: 14 July 2020
Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.11402
Pseudodifferential operators as generalizations of partial differential operators (35S05) Asymptotic expansions of solutions to PDEs (35C20) Hypoelliptic equations (35H10) Pseudodifferential operators (47G30) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)
Cites Work
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- The Gohberg lemma, compactness, and essential spectrum of operators on compact Lie groups
- Pseudodifferential equations over non-Archimedean spaces
- Ultrametric random walk and dynamics of protein molecules
- Application of \(p\)-adic analysis methods in describing Markov processes on ultrametric spaces isometrically embedded into \(\mathbb{Q}_p\)
- Noncommutative approximation: inverse-closed subalgebras and off-diagonal decay of matrices
- Propriétés des matrices ``bien localisées près de leur diagonale et quelques applications. (Properties of matrices ``well localized near the diagonal and some applications)
- Hypoelliptic differential operators
- Fractional differentiation on the group of integers of a \(p\)-adic or \(p\)-series field
- Quantizations and symbolic calculus over the \(p\)-adic numbers
- Convolution, Fourier analysis, and distributions generated by Riesz bases
- Linear and nonlinear heat equations on a \(p\)-adic ball
- Global hypoellipticity for strongly invariant operators
- On some spectral properties of pseudo-differential operators on \(\mathbb{T}\)
- \({\mathfrak p}\)-adic pseudodifferential calculus
- \(p\)-adic mathematical physics: the first 30 years
- A Characterization of Compact Pseudo-Differential Operators on $$\mathbb{S}^1$$
- Sobolev spaces on metrizable groups
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- Symmetry and inverse-closedness of matrix algebras and functional calculus for infinite matrices
- Wiener’s lemma for infinite matrices
- Wiener’s Lemma: Theme and Variations. An Introduction to Spectral Invariance and Its Applications
- First passage time distribution and the number of returns for ultrametric random walks
- Opérateurs pseudo-différentiels sur certains groupes totalement discontinus
- p-adic models of ultrametric diffusion constrained by hierarchical energy landscapes
- Nonharmonic Analysis of Boundary Value Problems
- Ultrametric Pseudodifferential Equations and Applications
- Heat Traces and Spectral Zeta Functions for $p$-adic Laplacians
- Dyadic Walsh analysis from 1924 onwards Walsh-Gibbs-Butzer dyadic differentiation in science. Volume 1. Foundations. A monograph based on articles of the founding authors, reproduced in full. Edited by Radomir S. Stanković, Paul L. Butzer, Ferenc Schipp and William R. Wade
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