Sun, Wenchang

Density of wavelet frames.

Appl. Comput. Harmon. Anal. Vol.22 No.2 (2007) p.264-272, Zbl:05131624

abstract

Density conditions for wavelet systems with arbitrary sampling points
to be frames are studied. We show that for a wavelet system generated by admissible
functions and irregular affine lattices to be a frame,
the sampling points must have a positive lower Beurling density.
The same is true for wavelet systems with arbitrary sampling points and nice generating functions.
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