𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Quantum Symmetric Pairs and Their Zonal Spherical Functions

✍ Scribed by Gail Letzter


Publisher
SP Birkhäuser Verlag Boston
Year
2003
Tongue
English
Weight
360 KB
Volume
8
Category
Article
ISSN
1083-4362

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


On the spherical and zonal spherical fun
✍ Kazimierz Bragiel 📂 Article 📅 1991 🏛 Springer 🌐 English ⚖ 241 KB

Invariance properties of the funchons satisfying an integral spherical equation on a compact quantum group are discussed. It is shown that spherical and zonal spherical functions are conncected with the spherical representation of a compact quantum group.

Characteristic Functions of L1-Spherical
✍ Kai Wang Ng; Guo-Liang Tian 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 176 KB

In this article we obtain the characteristic functions (c.f.'s) for L 1 -spherical distributions and simplify that of the L 1 -norm symmetric distributions to an expression of a finite sum. These forms of c.f.'s can be used to derive the probability density functions (p.d.f.'s) of linear combination

Representations, Characters, and Spheric
✍ Joachim Hilgert; Bernhard Krötz 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 281 KB

In this paper we study spherical unitary highest weight representations associated to a compactly causal symmetric space and use the results to prove estimates for the corresponding spherical functions of the c-dual non-compactly causal symmetric space. Such estimates turn out to be useful in determ

Hypergeometric Functions of Second Kind
✍ Jérémie M. Unterberger 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 177 KB

We define new solutions of the hypergeometric system that are invariant with respect to a parabolic Weyl subgroup. They generalize the spherical functions of an ordered symmetric space. We study their properties with respect to monodromy, their analytic extensions and their boundary value on the ima