an:00626008
Zbl 0798.42024
Battle, Guy; Federbush, Paul; Uhlig, Paul
Wavelets for quantum gravity and divergence-free wavelets. (Letter to the editor)
EN
Appl. Comput. Harmon. Anal. 1, No. 3, 295-297 (1994).
00021168
1994
j
42C40 81V17
symmetric tensor valued wavelets; \(L^ 2\)-orthonormal bases; divergence- free wavelets; exponential decay; trace-free wavelets; four dimensions
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.