Central measures on compact simple Lie groups
โ Scribed by David L Ragozin
- Publisher
- Elsevier Science
- Year
- 1972
- Tongue
- English
- Weight
- 859 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0022-1236
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๐ SIMILAR VOLUMES
Let \(\mu\) be an invariant measure on a regular orbit in a compact Lie group or in a Lie algebra. We prove sharp \(L^{\prime \prime}-L^{4}\) estimates for the convolution operators defined through \(\mu\). We also obtain similar results for the related Radon transform on the Lie algebra. 1945 Acade
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
We give the Bernstein polynomials for basic matrix entries of irreducible unitary ลฝ . representations of compact Lie group SU 2 . We also give an application to the ลฝ . analytic continuation of certain distributions on SU 2 , and finally we briefly describe the Bernstein polynomial for B = B-semi-in