An extension of the wavelet transform and reconstructure formula to the general field

Song Guo · Jounal of Xidian University · 2001

The theory of Fourier analysis on groups has been established in a locally compact topological group. This paper extends the locally compact topological structure to the general field, so that the “dilatation” and “translation” on field are reasonable. The wavelet transform on the field is defined and the corresponding reconstructure formula derived.

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