The usual formula for Hermite polynomials on \(\mathbf{R}^{d}\) is extended to a compact Lie group \(G\), yielding an isometry of \(L^{2}\left(G, p_{1}\right)\), where \(p_{1}\) is the heat kernel measure at time one, with a natural completion of the universal enveloping algebra of \(G\). The existe
Hermite Functions on Compact Lie Groups, II
โ Scribed by O. Hijab
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 338 KB
- Volume
- 133
- Category
- Article
- ISSN
- 0022-1236
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