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On hermite functions. II

✍ Scribed by I. Joó

Publisher
Akadmiai Kiad
Year
1995
Tongue
English
Weight
202 KB
Volume
68
Category
Article
ISSN
1588-2632

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✍ O. Hijab 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 463 KB

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