Some simple Haar-type wavelets in higher dimensions
نویسندگان
چکیده
منابع مشابه
Some simple Haar–type wavelets in higher dimensions
An orthonormal wavelet system in R, d ∈ N, is a countable collection of functions {ψ j,k}, j ∈ Z, k ∈ Z, ` = 1, . . . , L, of the form ψ j,k(x) = | deta|−j/2ψ`(a−jx− k) ≡ (Daj Tk ψ)(x) that is an orthonormal basis for L2(Rd), where a ∈ GLd(R) is an expanding matrix. The first such system to be discovered (almost one hundred years ago) is the Haar system for which L = d = 1, ψ1(x) = ψ(x) = χ[0,1...
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ژورنال
عنوان ژورنال: Journal of Geometric Analysis
سال: 2007
ISSN: 1050-6926,1559-002X
DOI: 10.1007/bf02922084