𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Explicit formulas for spherical functions on symmetric spaces of type AII

✍ Scribed by A. P. Veselov; O. A. Chalykh


Publisher
Springer US
Year
1992
Tongue
English
Weight
253 KB
Volume
26
Category
Article
ISSN
0016-2663

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Explicit Quadrature Formulae for Entire
✍ Riadh Ben Ghanem; ClΓ©ment Frappier πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 312 KB

We obtain, for entire functions of exponential type, a complementary result and a generalization of a quadrature formula with nodes at the zeros of Bessel functions. Our formula contains a sequence of rational fractions whose properties are studied.

On the Meromorphic Extension of the Sphe
✍ G Γ“lafsson; A Pasquale πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 367 KB

We determine integral formulas for the meromorphic extension in the \*-parameter of the spherical functions . \* on a noncompactly causal symmetric space. The main tool is Bernstein's theorem on the meromorphic extension of complex powers of polynomials. The regularity properties of . \* are deduced

Hypergeometric Functions of Second Kind
✍ JΓ©rΓ©mie M. Unterberger πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 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