A remark on Littlewood-Paley theory for the distorted Fourier transform

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dc.creatorSchlag, Wilhelm
dc.date2005-08-29
dc.date.accessioned2026-07-07T05:22:46Z
dc.date.available2026-07-07T05:22:46Z
dc.descriptionWe 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).
dc.identifierhttps://arxiv.org/abs/math/0508577
dc.identifierhttp://arxiv.org/abs/math/0508577
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76189
dc.subjectClassical Analysis and ODEs
dc.subjectMathematical Physics
dc.subject34L25, 42A45
dc.titleA remark on Littlewood-Paley theory for the distorted Fourier transform
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