(,) mapping properties of convolution transforms
-regularly varying functions in approximation theory.
130 let divergentních trigonometrických Fourierových řad (1. část)
130 let divergentních trigonometrických Fourierových řad (2. část)
A Cantor-Lebesgue theorem for double trigonometric series
A Characterization of Fourier Series of Stepanov Almost-Periodic Functions.
A characterization of Fourier transforms
The aim of this paper is to show that, in various situations, the only continuous linear (or not) map that transforms a convolution product into a pointwise product is a Fourier transform. We focus on the cyclic groups ℤ/nℤ, the integers ℤ, the torus 𝕋 and the real line. We also ask a related question for the twisted convolution.
A characterization of localized Bessel potential spaces and applications to Jacobi and Henkel multipliers
A characterization of the Rogers -Hermite polynomials.
A class of Fourier series
A Class of Multidimensional Periodic Splines.
A class of positive trigonometric sums. II.
A Class of Positive Trigonometrie Sums.
A convex polygon as a discrete plane curve.
A convolution inequality concerning Cantor-Lebesgue measures.
A convolution property of the Cantor-Lebesgue measure
A convolution property of the Cantor-Lebesgue measure, II
For 1 ≤ p,q ≤ ∞, we prove that the convolution operator generated by the Cantor-Lebesgue measure on the circle is a contraction whenever it is bounded from to . We also give a condition on p which is necessary if this operator maps into L²().
A correction to the paper "A multiplier theorem for Jacobi expansion" Studia Math. 52 (1975), pp. 234-261
A counterexample in harmonic analysis
A direct proof of van der Vaart's theorem