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BILINEAR PSEUDODIFFERENTIAL OPERATORS ON MODULATION SPACES
Bilinear operators Gabor frames modulation spaces moderate weights pseudodifferential operators sequence spaces short-time Fourier transform time-frequency analysis weighted spaces
2015/12/10
We use the theory of Gabor frames to prove the boundedness of bilinear pseudodifferentialoperators on products of modulation spaces. In particular,we show that bilinear pseudodifferential operators co...
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,...
A BEURLING-HELSON TYPE THEOREM FOR MODULATION SPACES
Beurling-Helson theorem changes of variables Feichtinger algebra Fourier multipliers modulation spaces Sjostrand algebra
2015/12/10
We prove a Beurling-Helson type theorem on modulation spaces. More precisely, we show that the only C1 changes of variables that leave invariant themodulation spaces Mp,q(Rd) are affine functions on R...
LOCAL WELL-POSEDNESS OF NONLINEAR DISPERSIVE EQUATIONS ON MODULATION SPACES
Fourier multiplier weighted modulation space short-time Fourier transform nonlinear Schrodinger equation nonlinear wave equation nonlinear Klein-Gordon equation conservation of energy
2015/12/10
By using tools of time-frequency analysis, we obtain some improvedlocal well-posedness results for the NLS, NLW and NLKG equations with Cauchy data in modulation spaces Mp, 0,s
DILATION PROPERTIES FOR WEIGHTED MODULATION SPACES
Modulation spaces Besov spaces Dilation Inclusion Wave equations
2015/12/10
In this paper we give a sharp estimate on the norm of the scaling operator Uλf(x) = f(λx) acting on the weighted modulation spaces Mp,q s,t (Rd). In particular, we recover and extend recent results by...
BOUNDEDNESS OF MULTILINEAR PSEUDO-DIFFERENTIAL OPERATORS ON MODULATION SPACES
MULTILINEAR PSEUDO-DIFFERENTIAL OPERATORS MODULATION SPACES
2015/12/10
Boundedness results for multilinear pseudodifferential operators on products of modulation spaces are derived based on ordered integrability conditions on the short-time Fourier transform of the opera...