On the Life and Work of S. Helgason
G. Olafsson, R. J. Stanton
TL;DR
This paper celebrates S. Helgason's influential career by providing a biographical sketch and surveying his research contributions in geometric and harmonic analysis, highlighting the current status of these fields.
Contribution
It offers a comprehensive overview of Helgason's work and its impact on geometric and harmonic analysis, including recent developments.
Findings
Survey of Helgason's research topics
Current status of geometric analysis
Current status of harmonic analysis
Abstract
This article is a contribution to a Festschrift for S. Helgason. After a biographical sketch, we survey some of his research on several topics in geometric and harmonic analysis during his long and influential career. While not an exhaustive presentation of all facets of his research, for those topics covered we include reference to the current status of these areas.
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Taxonomy
TopicsMusicology and Musical Analysis · History and Theory of Mathematics · Analytic and geometric function theory