若干 p-adic 变量中的伪微分算子和子马尔可夫半群

IF 0.9 3区 数学 Q2 MATHEMATICS Journal of Pseudo-Differential Operators and Applications Pub Date : 2024-07-05 DOI:10.1007/s11868-024-00623-0
Anselmo Torresblanca-Badillo, Edilberto Arroyo-Ortiz, Ronald Barrios-Garizao
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引用次数: 0

摘要

本文标志着对几个 p-adic 变量中某些负定或正定函数类的首次探索。本文介绍了与这些函数相关的两类伪微分算子、卷积半群、一些正量度和\(L^{2}(\mathbb {Q}_{p}^{n})\)-sub-Markovian 半群。
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Pseudo-differential operators in several p-adic variables and sub-Markovian semigroups

This article marks the inaugural exploration of certain classes of negative or positive definite functions in several p-adic variables. Associated with these functions, two classes of pseudo-differential operators, convolution semigroups, some positive measures and \(L^{2}(\mathbb {Q}_{p}^{n})\)-sub-Markovian semigroups are introduced.

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来源期刊
CiteScore
2.20
自引率
9.10%
发文量
59
期刊介绍: The Journal of Pseudo-Differential Operators and Applications is a forum for high quality papers in the mathematics, applications and numerical analysis of pseudo-differential operators. Pseudo-differential operators are understood in a very broad sense embracing but not limited to harmonic analysis, functional analysis, operator theory and algebras, partial differential equations, geometry, mathematical physics and novel applications in engineering, geophysics and medical sciences.
期刊最新文献
Some results of pseudo-differential operators related to the spherical mean operator $$L^p$$ -Sobolev spaces and coupled potential operators associated with coupled fractional Fourier transform Basic results for fractional anisotropic spaces and applications Growth properties of Hartley transform via moduli of continuity New classes of p-adic pseudo-differential operators with negative definite symbols and their applications
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