Mean convergence of Fourier-Akhiezer-Chebyshev series
We prove mean convergence of the Fourier series in Akhiezer-Chebyshev polynomials in $L^p$, $p>1$, using a weighted inequality for the Hilbert transform in an arc of the unit circle.
math.CA↗
arXiv subjects
Manuel Bello Hernández
Publications and source records attributed to Manuel Bello Hernández.
Meromorphic continuation of functions and arbitrary distribution of interpolation points
We characterize the region of meromorphic continuation of an analytic function $f$ in terms of the geometric rate of convergence on a compact set of sequences of multi-point rational interpolants of $f$. The rational approximants have a bounded number of poles and the distribution of interpolation points is arbitrary.
math.CA↗