Walsh equiconvergence theorems in the quaternionic setting
type: Item
instance of: scholarly article
title: Walsh equiconvergence theorems in the quaternionic setting
zbMATH Open document ID: 1301.30047
DOI: 10.1080/17476933.2013.868448
author: Irene Sabadini
author: Sorin G. Gal
published in: Complex Variables and Elliptic Equations
publication date: 2014-11-11T00:00:00Z
full work available at URL: http://hdl.handle.net/11311/881612
Mathematics Subject Classification ID: 30G35
zbMATH DE Number: 6368566
zbMATH Keywords: quaternionic polynomials
zbMATH Keywords: slice regular functions
zbMATH Keywords: interpolating polynomials
MaRDI profile type: Publication
OpenAlex ID: W2001112128
cites work: A note on the sharpness of J. L. Walsh's theorem and its extensions for interpolation in the roots of unity
cites work: Equations in Quaternions
cites work: Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
cites work: The double determinant of Vandermonde's type over quaternion field
cites work: Definition of determinant and cramer solutions over the quaternion field
cites work: A new theory of regular functions of a quaternionic variable
cites work: Vandermonde and Wronskian matrices over division rings
cites work: Pontryagin-de Branges-Rovnyak spaces of slice hyperholomorphic functions
cites work: Interpolation in the roots of unity: An extension of a theorem of J. L. Walsh
cites work: Power series and analyticity over the quaternions
cites work: CONVERSE RESULTS IN THE THEORY OF OVERCONVERGENCE OF COMPLEX INTERPOLATING POLYNOMIALS
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description: scientific article; zbMATH DE number 6368566