Gradient-Orthonormal Bases of Momentum-Entire Wavelets in Odd Dimension
Journal of Advances in Mathematics and Computer Science · pp. 912–923 · Published 20 Jan 2014
10.9734/BJMCS/2014/7023Abstract
We construct gradient-orthonormal bases of momentum-entire wavelets in dimension n in the case where n is odd. The scale factor is 3√2 and the coherence on a given scale is based on the propagator exp .This propagator can be described in terms of two one-variable functions. One of them is the Airy function, while the other satisfies an ordinary differential equation less familiar than the Airy equation. This construction is part of our on-going quest for compactly supported, gradient-orthonormal wavelets that have some kind of coherence on a given scale.
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