2005/08/29 by Wilhelm Schlag, Schlag, Wilhelm
Mathematics · Physics and Astronomy · #34L25 #42A45 #Advanced Mathematical Physics Problems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #Numerical methods in inverse problems #math-ph #math.CA #math.MP #msc:34L25 #msc:42A45
paper · pdf · doi:10.48550/arxiv.math/0508577
arxiv created 2005/08/29 · openalex publication_date 2005/08/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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).