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Wavelets for quantum gravity and divergence-free wavelets. (Letter to the editor). (English) Zbl 0798.42024
Summary: We present an easy construction of \(L^ 2\)-orthonormal bases of divergence-free wavelets in two, four, and eight dimensions. Both wavelets of class \(C^ M\) 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.

MSC:
42C40 Nontrigonometric harmonic analysis involving wavelets and other special systems
81V17 Gravitational interaction in quantum theory
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