Fourier-Padé approximants for Angelesco systems

Details Fourier-Padé approximants for Angelesco systems Fourier-Padé approximants for Angelesco systems

2005-10-27

arxiv.org/abs/math/0510611v1

Mathematics

Classical Analysis and ODEs

Scientific paper

In this paper we study linear and non-linear Fourier-Pad\'e approximation for
Angelesco systems of functions. This construction is similar to that of
Hermite-Pad\'e approximation. Instead of considering power series expansions of
the functions in the system, we take their expansion in a series of orthogonal
polynomials.

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