A remark on Littlewood-Paley theory for the distorted Fourier transform
Schlag, Wilhelm
arXiv, 0508577 / Harvested from arXiv
Text on arXiv
We show that the usual Mikhlin multiplier theorem relative to the distorted Fourier transform holds in the range (3/2,3) at least for radial functions and potentials. The restricted range is due to the fact that the Schroedinger operator which gives rise to the distorted Fourier transform may have a zero energy resonance. Consequently, the Littlewood-Paley theorem is shown also only for the range (3/2,3).
Publié le : 2005-08-29
Classification:  Mathematics - Classical Analysis and ODEs,  Mathematical Physics,  34L25, 42A45 
@article{0508577,
     author = {Schlag, Wilhelm},
     title = {A remark on Littlewood-Paley theory for the distorted Fourier transform},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0508577}
}

Schlag, Wilhelm. A remark on Littlewood-Paley theory for the distorted Fourier transform. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0508577/