Abstract
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(~s · ~ 54). 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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