Generalized Shift-Invariant Systems and Frames for Subspaces
نویسندگان
چکیده
منابع مشابه
Generalized shift-invariant systems and frames for subspaces
Given a real and invertible d×d matrix C, we define for k ∈ Zd a generalized translation operator TCk acting on f ∈ L 2(Rd) by (TCkf)(x) = f(x − Ck), x ∈ R . A generalized shift-invariant system is a system of the type {TCjkφj}j∈J,k∈Zd , where {Cj}j∈J is a countable collection of real invertible d×d matrices, and {φj}j∈J ⊂ L 2(Rd). Generalized shift-invariant systems contain the classical wavel...
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ژورنال
عنوان ژورنال: Journal of Fourier Analysis and Applications
سال: 2005
ISSN: 1069-5869,1531-5851
DOI: 10.1007/s00041-005-4030-0