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UNIMODULAR FOURIER MULTIPLIERS FOR MODULATION SPACES
Fourier multiplier modulation space short-time Fourier transform Schrodinger equation wave equation conservation of energy
2015/12/10
We investigate the boundedness of unimodular Fourier multipliers on modulation spaces. Surprisingly, the multipliers with general symbol ei|ξ|α, where α ∈ [0, 2], are bounded on all modulation spaces,...
Parabolic martingales and non-symmetric Fourier multipliers
Parabolic martingales non-symmetric Fourier multipliers Functional Analysis
2012/6/18
We give a class of Fourier multipliers with non-symmetric symbols and explicit norm bounds on $L^p$ spaces by using the stochastic calculus of L\'evy processes and Burkholder-Wang estimates for differ...
Fourier multipliers for non-symmetric Lévy processes
Fouriermultiplier process with independent increments martingale transform
2011/2/24
We study Fourier multipliers resulting from martingale transforms of general L´evy processes.