Radiation transfer in an absorbing layer bounded by a specular reflector
Rajchman measures on compact groups.
Ramanujan sums and almost periodic functions
Random measures and harmonizable sequences
Randomly Weighted Series of Contractions in Hilbert Spaces.
Rationale trigonometrische Tschebyscheff-Approximation in zwei Variablen.
Rationalle Trigonometrische Tschebyscheff-Approximation In Zwei Variablen
Recognition and limit theorems for -multipliers
Reconstruction of functions from their triple correlations.
Recurrence for cosine series with bounded gaps
Ullrich, Grubb and Moore proved that a lacunary trigonometric series satisfying Hadamard's gap condition is recurrent a.e. We prove the existence of a recurrent trigonometric series with bounded gaps.
Recurrence relations for the coefficients of expansions in classical orthogonal polynomials of a discrete variable
A method is given to find a recurrence relation for the coefficients of the series expansion of a function f with respect to classical orthogonal polynomials of a discrete variable, which follows from a linear difference equation satisfied by f.
Recurrences for the coefficients of series expansions with respect to classical orthogonal polynomials
Let be any sequence of classical orthogonal polynomials. Further, let f be a function satisfying a linear differential equation with polynomial coefficients. We give an algorithm to construct, in a compact form, a recurrence relation satisfied by the coefficients in . A systematic use of the basic properties (including some nonstandard ones) of the polynomials results in obtaining a low order of the recurrence.
Refinement Equations with Nonnegative Coefficients.
Refinement type equations: sources and results
It has been proved recently that the two-direction refinement equation of the form can be used in wavelet theory for constructing two-direction wavelets, biorthogonal wavelets, wavelet packages, wavelet frames and others. The two-direction refinement equation generalizes the classical refinement equation , which has been used in many areas of mathematics with important applications. The following continuous extension of the classical refinement equation has also various interesting applications....
Regularity of Refinable Functions Vectors.
Relations entre la convexité dans le complexe et le prolongement des propriétés dans le réel
Dans le chapitre I on indique la croissance de et de la fonction convexe pour que de
Relationships between families of thin sets
Remark on Fourier-Stieltjes transforms of continuous measures
Remarks on a theorem of P. K. Suetin
Remarks on the Hilbert transform and on some families of multiplier operators related to it.
We give an overview of the behavior of the classical Hilbert Transform H seen as an operator on Lp(R) and on weak-Lp(R), then we consider other operators related to H. In particular, we discuss various versions of Discrete Hilbert Transform and Fourier multipliers periodized in frequency, giving some partial results and stating some conjectures about their sharp bounds Lp(R) → Lp(R), for 1 < p < ∞.