Hostname: page-component-8448b6f56d-dnltx Total loading time: 0 Render date: 2024-04-24T17:28:49.071Z Has data issue: false hasContentIssue false
  • English
  • Français

GENERALIZED FOURIER EXPANSIONS OF DIFFERENTIABLE FUNCTIONS ON THE SPHERE

Published online by Cambridge University Press:  27 July 2005

FRANCISCO JAVIER GONZÁLEZ VIELI
FRANCISCO JAVIER GONZÁLEZ VIELI
Affiliation:
École Polytechnique Fédérale de Lausanne, SB/IACS/CAHRU, MA B1 513, Station 8, 1015 Lausanne, Switzerland e-mail: francisco.gonzalez@epfl.ch
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We show that the Fourier expansion in spherical $h$-harmonics (from Dunkl's theory) of a function $f$ on the sphere converges uniformly to $f$ if this function is sufficiently differentiable.

Keywords

Primary 42C10Secondary 33C50
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 47 , Issue 2 , May 2005 , pp. 339 - 345
Copyright
2005 Glasgow Mathematical Journal Trust