利用二维连续剪切波变换的收敛性研究分布的规律性

Int. J. Wavelets Multiresolution Inf. Process. Pub Date : 2021-10-05 DOI:10.1142/s0219691321500454

Jaime Navarro, David Elizarraraz

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摘要

利用二维连续剪切变换(CST)的局部收敛性来证明函数的局部正则性[公式:见文]。此外，利用分布的正则性定理[公式:见文]和[公式:见文]中函数的结果，通过CST的任意导数的局部收敛，证明了具有紧支持的分布的局部正则性[公式:见文]。

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On the regularity of distributions via the convergence of the continuous shearlet transform in two dimensions

The local convergence of the continuous shearlet transform (CST) in two dimensions is used to prove the local regularity of functions [Formula: see text]. Moreover, by means of the regularity theorem of distributions [Formula: see text] and the results for functions in [Formula: see text], the local regularity of distributions [Formula: see text] with compact support is also proved via the local convergence of any derivative of the CST.

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Int. J. Wavelets Multiresolution Inf. Process.

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