On the expansion of a function in terms of spherical harmonics in arbitrary dimensions
type: Item
instance of: scholarly article
title: On the expansion of a function in terms of spherical harmonics in arbitrary dimensions
zbMATH Open document ID: 0835.33006
published in: Bulletin of the Belgian Mathematical Society - Simon Stevin
publication date: 1996-03-26T00:00:00Z
full work available at URL: https://eudml.org/doc/231754
review text: The paper is concerned in the expansion of a function, defined on a sphere of arbitrary dimension, in an uniformly convergent Laplace series of spherical harmonics -- as established by \textit{D. L. Ragozin} [Math. Ann. 195, 87-94 (1972; Zbl 0221.42018)] --, and in an uniformly absolutely convergent Laplace series, due to F. Rellich in his famous Göttingen lectures from 1952/53. The quotation and the refinement of these results is embedded in a careful and abundant survey of their history, moreover: this is not an itemizing of authors and papers related to this field, but the recent paper discusses -- e.g. -- the ideas, the construction, the ways, and the deficiencies of the relevant proofs found in the literature. Hence: a paper with a high level of mathematical culture.
Mathematics Subject Classification ID: 33C55
Mathematics Subject Classification ID: 41-02
Mathematics Subject Classification ID: 01A60
Mathematics Subject Classification ID: 01A55
zbMATH DE Number: 809190
zbMATH Keywords: historical survey
zbMATH Keywords: spherical harmonics
author: Hubert Kalf
reviewed by: E. Lanckau
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 809190