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.
Fourier Transform Restriction Phenomena for Certain Lattice Subsets and Applications to Nonlinear Evolution Equations, Part I: Schrödinger Equations.
Fourier transforms and the P.N.T. error term
Fourier transforms of convolution operators
Fourier transforms of Dini-Lipschitz functions.
Fourier transforms of homogeneous distribution
Fourier transforms of Lipschitz functions on certain Lie groups.
Fourier transforms of Lipschitz functions on the hyperbolic plane .
Fourier Transforms of Measures and Algebraic Relations on Their Supports
We investigate the relation between the rate of decrease of a Fourier transform and the possible algebraic relations on its support.
Fourier-Bessel functions of singular continuous measures and their many asymptotics.
Fourier-like kernels as solutions of ODE's.
Fourier-ovi koeficijenti lakunarnog reda funkcija klase
Fourier--Rademacher coefficients of functions in rearrangement-invariant spaces.
Fouriertransformation auf dünnen Gittern mit hierarchischen Basen.
Fourier-Wigner transforms and Liouville's theorems for the sub-Laplacian on the Heisenberg group
The sub-Laplacian on the Heisenberg group is first decomposed into twisted Laplacians parametrized by Planck's constant. Using Fourier-Wigner transforms so parametrized, we prove that the twisted Laplacians are globally hypoelliptic in the setting of tempered distributions. This result on global hypoellipticity is then used to obtain Liouville's theorems for harmonic functions for the sub-Laplacian on the Heisenberg group.