The wavelet transform of distributions. (English) Zbl 1078.42029

Author’s summary: “The continuous wavelet transform is extended to certain distributions and continuity results are obtained. Boundedness results in generalized Sobolev spaces, Besov spaces and Triebel-Lizorkin spaces are given”.
Reviewer: Qiyu Sun (Orlando)


42C40 Nontrigonometric harmonic analysis involving wavelets and other special systems
46F12 Integral transforms in distribution spaces
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
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