Wavelets for Quantum Gravity and Divergence-Free Wavelets
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We present an easy construction of L2-orthonormal bases of divergence-free wavelets in two, four, and eight dimensions. Both wavelets of class CM with exponential decay and wavelets of the Meyer type are constructed. The idea is extended to the construction of symmetric-tensor-valued, divergence-free, trace-free wavelets in four dimensions-of both types. Such orthonormal bases could be applicable to quantum gravity. 1994 Academic Press. All rights reserved.