Factorisation without bounded approximate identities
Factorization of Lipschitz Functioins and Absolute Convergence of Vilenkin-Fourier Series.
Fastperiodische Funktionen.
Fastperiodizitätseigenschaften Dirichletscher Reihen
Fonctions arithmétiques multiplicatives et multiplicateurs des coefficients de Fourier des fonctions de puissance p-ième sommable
Fonctions presque périodiques (au sens de Bohr) et fonction zêta de Riemann
Formules de réduction trigonométrique
Fourier analysis and paths of brownian motion
Fourier Analysis of Riemann Distributions and Explicit Formulas.
Fourier approximation and embeddings of Sobolev spaces [Book]
Fourier coefficients and absolute convergence on compact totally disconnected groups.
Fourier coefficients and growth of harmonic functions.
Fourier coefficients of continuous functions and a class of multipliers
If is a bounded function on , the multiplier with symbol (denoted by is defined by , . We give some conditions on ensuring the “interpolation inequality” (here and is between 0 and 1). In most cases considered fails to have stronger -regularity properties (e.g. fails to be of weak type (1,1)). The results are applied to prove that for many sets every positive sequence in can be majorized by the sequence
Fourier coefficients of continuous linear mappings on homogeneous Banach spaces
Fourier intégraux à phases complexes
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 Reconstruction in Tomography.
Fourier series and Hilbert transforms with values in UMD Banach spaces