Periodic functions with difference functions
Polynomial approximation to integral transforms
Positivity Zones and Norms of N-fold Convolutions - I
Power-monotone sequences and Fourier series with positive coefficients.
Power-monotone sequences and Fourier series with positive coefficients.
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.
Representations Of Monotonic Fourier Coefficients In Tauberian L1-Convergence Classes
Restitution des coefficients d'ondelettes des signaux filtrés
Schrödinger Equation and Oscillatory Hilbert Transforms of Second Degree.
Singular values of trilinear forms.
Some incorrigible functions
Some problems arising from prediction theory and a theorem of Kolmogorov.
Some remarks an interpolation of operators and Fourier coefficients
Sous-espaces de invariants par translation et de type
Spaces of functions of generalized bounded variation. II: Questions of uniform convergence of Fourier series.
Summation der Reihe mit dem Gliede .....................
Summation processes viewed from the Fourier properties of continuous unimodular functions on the circle
The main purpose of this article is to give a new method and new results on a very old topic: the comparison of the Riemann processes of summation (R,κ) with other summation processes. The motivation comes from the study of continuous unimodular functions on the circle, their Fourier series and their winding numbers. My oral presentation in Poznań at the JM-100 conference exposed the ways by which this study was developed since the fundamental work of Brézis and Nirenberg on the topological degree...
Sur certains développements en séries trigonométriques
Sur la différentiation d'une classe de séries trigonométriques