论文标题

建造各向异性besov空间的Banach框架和原子分解

Construction of Banach frames and atomic decompositions of anisotropic Besov spaces

论文作者

Bytchenkoff, Dimitri

论文摘要

我们构建了各向异性BESOV空间的几个真实变量的函数的广义转移,可以使用任何给定的膨胀矩阵来生成,并在这些系统上建立条件,它们构成了banach框架或它们将构成Anisotropic homo-opopic homo-opomogeneososeosebeseos besov space。

We construct generalised shift-invariant systems of functions of several real variables for anisotropic Besov spaces that can be generated by the decomposition method using any given expansive matrix and establish the conditions on those systems under which they will constitute Banach frames or sets of atoms for the anisotropic homo- or inhomogeneous Besov spaces.

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