Detection of singularities in wavelet and ridgelet analyses (Several aspects of microlocal analysis)
Shinya Moritoh · Institutional Repositories DataBase (IRDB) · 2016
We give two methods of detecting singularities in wavelet and ridgelet analyses. First, we give a characterization of the generalized two-microlocal Besov spaces in terms of the local Besov type conditions with dominating mixed smoothness. Secondly, we define microlocal ridgelet transforms after Candès and Donoho, and give the inversion formula for our ridgelet transforms.