✦ LIBER ✦

On Bernstein Polynomials for Compact Lie Groups

✍ Scribed by Carina Boyallian

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 188 KB
Volume: 210
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1998.7576

No coin nor oath required. For personal study only.

✦ Synopsis

We give the Bernstein polynomials for basic matrix entries of irreducible unitary Ž . representations of compact Lie group SU 2 . We also give an application to the Ž . analytic continuation of certain distributions on SU 2 , and finally we briefly describe the Bernstein polynomial for B = B-semi-invariant functions on a y semisimple complex Lie group.

📜 SIMILAR VOLUMES

Besov Spaces on Compact Lie Groups

✍ Michael Geisler 📂 Article 📅 1988 🏛 John Wiley and Sons 🌐 English ⚖ 496 KB

Hermite Functions on Compact Lie Groups,

Hermite Functions on Compact Lie Groups, II

✍ O. Hijab 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 338 KB

Hermite Functions on Compact Lie Groups,

Hermite Functions on Compact Lie Groups, I

✍ 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

Quantum Galois Theory for Compact Lie Gr

Quantum Galois Theory for Compact Lie Groups

✍ Chongying Dong; Geoffrey Mason 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 90 KB

We establish a quantum Galois correspondence for compact Lie groups of automorphisms acting on a simple vertex operator algebra.

Equivariant Analytic Torsion for Compact

Equivariant Analytic Torsion for Compact Lie Group Actions

✍ J. Lott 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 405 KB

We define the equivariant analytic torsion for a compact Lie group action and study its dependence on the geometric data. 1994 Academic Press, Inc.

Lp−Lq Estimates for Orbital Measures and

Lp−Lq Estimates for Orbital Measures and Radon Transforms on Compact Lie Groups and Lie Algebras

✍ F. Ricci; G. Travaglini 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 427 KB

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