Fourier Analysis of Riemann Distributions and Explicit Formulas.
Fourier analysis used in analytic number theory
Fourier approach to homogenization problems
This article is divided into two chapters. The classical problem of homogenization of elliptic operators with periodically oscillating coefficients is revisited in the first chapter. Following a Fourier approach, we discuss some of the basic issues of the subject: main convergence theorem, Bloch approximation, estimates on second order derivatives, correctors for the medium, and so on. The second chapter is devoted to the discussion of some non-classical behaviour of vibration problems of periodic...
Fourier approach to homogenization problems
This article is divided into two chapters. The classical problem of homogenization of elliptic operators with periodically oscillating coefficients is revisited in the first chapter. Following a Fourier approach, we discuss some of the basic issues of the subject: main convergence theorem, Bloch approximation, estimates on second order derivatives, correctors for the medium, and so on. The second chapter is devoted to the discussion of some non-classical behaviour of vibration problems of periodic...
Fourier approximation and embeddings of Sobolev spaces [Book]
Fourier Asymptotics of Statistically Self-Similar Measures.
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 Inequalities and Moment Subspaces in Weightes Lebesgue Spaces.
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.