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.
Fractal multiwavelets related to the Cantor dyadic group.
Fractal trigonometric approximation.
Fractal Wavelet Dimensions and Time Evolution
Fractals and hidden symmetries in DNA.
Fractional Hajłasz-Morrey-Sobolev spaces on quasi-metric measure spaces
In this article, via fractional Hajłasz gradients, the authors introduce a class of fractional Hajłasz-Morrey-Sobolev spaces, and investigate the relations among these spaces, (grand) Morrey-Triebel-Lizorkin spaces and Triebel-Lizorkin-type spaces on both Euclidean spaces and RD-spaces.
Fractional integral operators on with Morrey-Campanato norms
We introduce function spaces with Morrey-Campanato norms, which unify , and Morrey-Campanato spaces, and prove the boundedness of the fractional integral operator on these spaces.