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math.CA2012
Wavelet frame bijectivity on Lebesgue and Hardy spaces
H. -Q. Bui, R. S. Laugesen
We prove a sufficient condition for frame-type wavelet series in , the Hardy space , and BMO. For example, functions in these spaces are shown to have expansions in terms…
math.CA2010★ 1 cited
A note on the solution of the Mexican hat problem
H. -Q. Bui, R. S. Laugesen
We prove a technical estimate needed in our recent solution of the completeness question for the non-orthogonal Mexican hat wavelet system, in for and in the Hardy sp…