Pseudodifferential Operators on the Circle and Finite Differences

机译：圆上的伪微分算子与有限差分

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Characterization of pseudodifferential operators on the circle group by means of discretely defined symbols is discussed. Extension of such operators to pseudodifferential operators on the real line is considered.

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作者
van den Dries, R. J. C. H.;
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年度 1986
页码 1-15
总页数 15
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Differential equations; Operators(Mathematics); Finite difference theory; Fourier analysis; Partial differential equations; Theorems;

机译：微分方程;算子（数学）;有限差分理论;傅立叶分析;偏微分方程;定理;

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1. Pseudodifferential-difference operators associated with dunkl operators [J] . Azza Dachraoui Integral transforms and special functions . 2001,第2期

机译：与dunkl运算符相关的伪微分差分运算符
2. Reduction of Nonlocal Pseudodifferential Operators on a Noncompact Manifold to Classical Pseudodifferential Operators on a Double-Dimensional Compact Manifold [J] . A. A. Arutyunov Mathematical notes . 2015,第3a4期

机译：将非紧流形上的非局部伪微分算子还原为二维紧流形上的经典伪微分算子
3. Reduced Weyl asymptotics for pseudodifferential operators on bounded domains I. The finite group case [J] . Ramacher P Journal of Functional Analysis . 2008,第4期

机译：有界域上伪微分算子的减少的Weyl渐近性I.有限群情况
4. Lax-Like Stability for the Discretization of Pseudodifferential Operators through Gabor Multipliers and Spline-Type Spaces [C] . Darian M. Onchis, Simone Zappalá International Symposium on Symbolic and Numeric Algorithms for Scientific Computing . 2018

机译：通过Gabor乘数和样条类型空间离散化伪微分算子的Lax型稳定性
5. Conjugation of pseudodifferential operators by Fourier integral operators using ideas from the Weyl calculus [D] . Silva, Jorge Drumond. 2001

机译：傅立叶积分运算符使用威基微积分的思路共轭
6. Classes of Spatially Inhomogeneous Pseudodifferential Operators [O] . R. Beals, C. Fefferman 1973

机译：空间非齐次伪微分算子的类
7. Reduced Weyl asymptotics for pseudodifferential operators on bounded domains I. The finite group case [O] . Ramacher Pablo 2008

机译：有界域上伪微分算子的减少的Weyl渐近性I.有限群情况

Pseudodifferential Operators on the Circle and Finite Differences

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