Title of article
Holomorphic approximation of -functions on the unit sphere in
Author/Authors
De Schepper، نويسنده , , Nele and Qian، نويسنده , , Tao and Sommen، نويسنده , , Frank Zhigang Wang، نويسنده , , Jinxun Liu، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2014
Pages
13
From page
659
To page
671
Abstract
In this paper we construct an embedding of holomorphic functions in two complex variables into the unit ball in R 3 . This leads to a closed subspace of the L 2 -functions on the unit sphere spanned by quaternionic polynomials for which we construct orthonormal bases and study the related convergence properties.
Keywords
orthogonal polynomials , Holomorphic polynomials , Holomorphic signals , Quaternionic analysis
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2014
Journal title
Journal of Mathematical Analysis and Applications
Record number
1564536
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