Fourier integral operators with fold singularities.
Fourier intégraux à phases complexes
Fourier inversion of distributions on projective spaces
We show that the Fourier-Laplace series of a distribution on the real, complex or quarternionic projective space is uniformly Cesàro-summable to zero on a neighbourhood of a point if and only if this point does not belong to the support of the distribution.
Fourier multipliers and estimates of the Fourier transform of measures carried by smooth curves in R²
Fourier Multipliers for Certain Spaces of Functions.
Fourier multipliers for Hölder continuous functions and maximal regularity
Two operator-valued Fourier multiplier theorems for Hölder spaces are proved, one periodic, the other on the line. In contrast to the -situation they hold for arbitrary Banach spaces. As a consequence, maximal regularity in the sense of Hölder can be characterized by simple resolvent estimates of the underlying operator.
Fourier multipliers for non-symmetric Lévy processes
We study Fourier multipliers resulting from martingale transforms of general Lévy processes.
Fourier Reconstruction in Tomography.
Fourier restriction estimates to mixed homogeneous surfaces.
Fourier restriction to convex surfaces of revolution in R3.
Fourier series and Hilbert transforms with values in UMD Banach spaces
Fourier series and the Colombeau algebra on the unit circle
Fourier series and the maximal operator on the weighted special atom spaces.
Fourier series. Fourier transforms and applications.
Fourier Series on Certain Solenoids.
Fourier transform, restriction theorem, and scaling
In questo lavoro facciamo vedere, con un argomento di omogeneità di tipo Knapp, che se vale un teorema di restrizione per una ipersuperficie compatta, convessa e di tipo finito, allora si possono provare stime isotropiche ottimali per la trasformata di Fourier della misura di indotta dalla misura di Lebesgue sulla superficie.
Fourier transform of characteristic functions and Lebesgue constants for multiple Fourier series
Fourier transform of .
Fourier transform, oscillatory multipliers and evolution equations in rearrangement invariant function spaces
Fourier Transform Restriction Phenomena for Certain Lattice Subsets and Applications to Nonlinear Evolution Equations, Part II: The KDV Equation.