Complex powers and asymptotic expansions. I. Functions of certain types.
Complex powers and asymptotic expansions. II.
Complex Unconditional Metric Approximation Property for spaces
We study the Complex Unconditional Metric Approximation Property for translation invariant spaces of continuous functions on the circle group. We show that although some “tiny” (Sidon) sets do not have this property, there are “big” sets Λ for which has (ℂ-UMAP); though these sets are such that contains functions which are not continuous, we show that there is a linear invariant lifting from these spaces into the Baire class 1 functions.
Comportement à l'infini de certaines fonctions moyenne-périodiques
Comportement asymptotique dans l'algorithme de transformée en ondelettes. Lien avec la régularité de l'ondelette.
We study the asymptotic performance for a Wavelets Transform, in particular as a function of the regularity order of the wavelet.
Comportement local des fonctions à série de Fourier lacunaire
Composition of maximal operators.
Composition operators in the Dirichlet series setting
In this work, we begin with a survey of composition operators on the Hardy space H² and on the Wiener algebra A⁺ of absolutely convergent Taylor series, with special emphasis on their compactness, or invertibility, or isometric character. The main results are due respectively to J. Shapiro and D.~Newman. In a second part, we present more recent results, due to Gordon and Hedenmalm on the one hand, and to Bayart, the author et al. on the other hand, concerning the analogues of H² and A⁺ in the setting...
Composition theorems of Stepanov almost periodic functions and Stepanov-like pseudo-almost periodic functions.
Compression and restoration of square integrable functions.
Compression of satellite data.
In this paper, we present the simple and double compression algorithms with an error control for compressing satellite data corresponding to several revolutions. The compressions are performed by means of approximations in the norm L∞ by finite series of Chebyshev polynomials, with their known properties of fast evaluation, uniform distribution of the error, and validity over large intervals of time. By using the error control here introduced, the number of terms of the series is given automatically...
Compression on the digital unit sphere.
Computation with wavelets in higher dimensions.
Computer graphics and a new Gibbs phenomenon for Fourier-Bessel series.
Computing discrete convolutions with verified accuracy via Banach algebras and the FFT
We introduce a method to compute rigorous component-wise enclosures of discrete convolutions using the fast Fourier transform, the properties of Banach algebras, and interval arithmetic. The purpose of this new approach is to improve the implementation and the applicability of computer-assisted proofs performed in weighed Banach algebras of Fourier/Chebyshev sequences, whose norms are known to be numerically unstable. We introduce some application examples, in particular a rigorous aposteriori...
Concepts of generalized bounded variation and the theory of Fourier series.
Concerning the order approximation of periodic continuous functions by trigonometric interpolation polynomials II
Conditional Fourier-Feynman transform given infinite dimensional conditioning function on abstract Wiener space
We study a conditional Fourier-Feynman transform (CFFT) of functionals on an abstract Wiener space . An infinite dimensional conditioning function is used to define the CFFT. To do this, we first present a short survey of the conditional Wiener integral concerning the topic of this paper. We then establish evaluation formulas for the conditional Wiener integral on the abstract Wiener space . Using the evaluation formula, we next provide explicit formulas for CFFTs of functionals in the Kallianpur...
Conditions d'entropie assurant la continuité de certains processus et applications à l'analyse harmonique
Confirmation of Matheron's conjecture on the covariogram of a planar convex body