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Anisotropic shearlet transforms for L 2 ( R k )
Author(s) -
Czaja Wojciech,
King Emily J.
Publication year - 2014
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201000035
Subject(s) - shearlet , mathematics , anisotropy , generalization , symplectic geometry , transformation (genetics) , pure mathematics , lie group , mathematical analysis , image (mathematics) , computer science , artificial intelligence , physics , optics , biochemistry , chemistry , gene
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 Calderón admissibility condition for anisotropic shearlet reproducing functions.