In this paper we show that for any slice regular function f in a quaternionic ellipsoid containing their real interval of orthogonality, the Chebyshev and Legendre expansions converge uniformly to f in all compact subsets in the interior of the ellipsoid, with the order of a geometric series.
Overconvergence of Chebyshev and Legendre Expansions in Quaternionic Ellipsoids
Sabadini, Irene
2017-01-01
Abstract
In this paper we show that for any slice regular function f in a quaternionic ellipsoid containing their real interval of orthogonality, the Chebyshev and Legendre expansions converge uniformly to f in all compact subsets in the interior of the ellipsoid, with the order of a geometric series.File in questo prodotto:
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