Bernstein's theorem for compact, connected Lie groups
In what follows, G will denote a compact, connected Lie group. Definition. A complex-valued function f ε L2(G) lies in the space A(G) if it can be written in the form where The A(G) norm of f is the infimum of all sums (2) with respect to all decompositions (1).
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| Veröffentlicht in: | Mathematical proceedings of the Cambridge Philosophical Society 1986-03, Vol.99 (2), p.297-305 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In what follows, G will denote a compact, connected Lie group. Definition. A complex-valued function f ε L2(G) lies in the space A(G) if it can be written in the form where The A(G) norm of f is the infimum of all sums (2) with respect to all decompositions (1). |
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| ISSN: | 0305-0041 1469-8064 |
| DOI: | 10.1017/S0305004100064215 |