Holomorphic approximation of \(L_2\)-functions on the unit sphere in \(\mathbb R^3\)

DOI10.1016/j.jmaa.2014.02.065zbMath1312.30063OpenAlexW203184771MaRDI QIDQ488750

Yong-Cai Geng, Sumit K. Garg

Publication date: 26 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.02.065

zbMATH Keywords

orthogonal polynomialsquaternionic analysisholomorphic polynomialsholomorphic signals

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (1)

Positive-instantaneous frequency and approximation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Special functions in Clifford analysis and axial symmetry
• Axial monogenic functions from holomorphic functions
• Gelfand-Tsetlin bases for spherical monogenics in dimension 3
• A product and an exponential function in hypercomplex function theory

This page was built for publication: Holomorphic approximation of \(L_2\)-functions on the unit sphere in \(\mathbb R^3\)