9 citations · 11 across the 5 of their papers we have counts for
5 papers
sigma models via the coherent states approach
A. M. Grundland, A. Strasburger, D. Dziewa-Dawidczyk
In this paper we present results obtained from the unification of coherent states with sigma models defined on the Riemann sphere having finite actions. The…
On spherical expansions of smooth $\gr{SU}{n}$-zonal functions on the unit sphere in $\NC^n$
Agata Bezubik, Aleksander Strasburger
We give a self-contained presentation of a novel approach to a construction of spherical harmonic expansions on the unit sphere in $\NC^n$. We derive a new formula for coefficients…
A New Form of the Spherical Expansion of Zonal Functions and Fourier Transforms of SO(d)-Finite Functions
Agata Bezubik, Aleksander Strasburger
This paper presents recent results obtained by the authors (partly in collaboration with A. Dabrowska) concerning expansions of zonal functions on Euclidean spheres into spherical…
The Weyl Algebra, Spherical Harmonics, and Hahn Polynomials
Ewa Gnatowska, Aleksander Strasburger
In this article we apply the duality technique of R. Howe to study the structure of the Weyl algebra. We introduce a one-parameter family of ``ordering maps'', where by an ordering…
Class Operators as Intertwining Maps into the Group Algebra
Aleksander Strasburger
With the aim of completing the previous study by A. Orłowski and the author concerning intertwining maps between induced representations and conjugation representation, termed here…