Anisotropic shearlet transforms for L2(Rk)

被引：10

作者：

Czaja, Wojciech ^{[1
]}

King, Emily J. ^{[1
,2
]}

机构：

[1] Univ Maryland, Dept Math, College Pk, MD 20742 USA

[2] Tech Univ Berlin, Dept Math, D-10587 Berlin, Germany

来源：

MATHEMATISCHE NACHRICHTEN | 2014年 / 287卷 / 8-9期

关键词：

Anisotropic dilations; metaplectic representation; multi-dimensional representations; shearlets; symplectic group; REPRODUCING GROUPS; SUBGROUPS;

D O I：

10.1002/mana.201000035

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we present a new anisotropic generalization of the continuous shearlet transformation. This is achieved by means of an explicit construction of a family of reproducing Lie subgroups of the symplectic group. We study the properties of this new family of anisotropic shearlet transformations. In particular, we provide an analog of the Calderon admissibility condition for anisotropic shearlet reproducing functions. (C) 2014 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：903 / 916

页数：14

共 39 条

[1]

[Anonymous], 2005, Wavelets XI (San Diego, CA, 2005), SPIE Proc.

[2]

[Anonymous], 2001, COLLECT MATH

[3]

[Anonymous], 1992, CBMS-NSF Reg. Conf. Ser. in Appl. Math

[4]

[Anonymous], 1995, Translation-invariant De-noising