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math.CA2001
Stability properties for a compactly supported prescale function
V. Dobric, R. F. Gundy, P. Hitczenko
We show that if is a continuous, minimally supported prescale function, then its translates are linearly independent on any set of positive measure in the unit interval. This g…
math.CA2001
Characterizations of orthonormal scale functions: a probabilistic approach
V. Dobric, R. F. Gundy, P. Hitczenko
The construction of a multiresolution analysis starts with specification of a scale function. The Fourier transform of this function is defined by an infinite product. The converge…