Now showing items 1-5 of 5

• #### The algebra of differential operators for a Gegenbauer weight matrix ﻿

[OWP-2015-07] (Mathematisches Forschungsinstitut Oberwolfach, 2015-07-29)
In this work we study in detail the algebra of differential operators $\mathcal{D}(W)$ associated with a Gegenbauer matrix weight. We prove that two second order operators generate the algebra, indeed $\mathcal{D}(W)$ is ...
• #### Mehler-Heine asymptotics of a class of generalized hypergeometric polynomials : ﻿

[OWP-2013-23] (Mathematisches Forschungsinstitut Oberwolfach, 2013-10-29)
We obtain a Mehler–Heine type formula for a class of generalized hypergeometric polynomials. This type of formula describes the asymptotics of polynomials scale conveniently. As a consequence of this formula, we obtain ...
• #### Plethysms, replicated Schur functions and series, with applications to vertex operators ﻿

[OWP-2010-12] (Mathematisches Forschungsinstitut Oberwolfach, 2010-03-14)
Specializations of Schur functions are exploited to define and evaluate the Schur functions $s_\lambda [\alpha X]$ and plethysms $s_\lambda [\alpha s_\nu(X))]$ for any $\alpha$-integer, real or complex. Plethysms are then ...
• #### Time and band limiting for matrix valued functions, an example ﻿

[OWP-2015-08] (Mathematisches Forschungsinstitut Oberwolfach, 2015-07-29)
The main purpose of this paper is to extend to a situation involving matrix valued orthogonal polynomials and spherical functions, a result that traces its origin and its importance to work of Claude Shannon in laying the ...
• #### A Uniform Model for Kirillov-Reshetikhin Crystals I: Lifting the Parabolic Quantum Bruhat Graph ﻿

[OWP-2012-18] (Mathematisches Forschungsinstitut Oberwolfach, 2012)
We consider two lifts of the parabolic quantum Bruhat graph, one into the Bruhat order in the affine Weyl group and the other into a level-zero weight poset first considered by Littelmann. The lift into the affine Weyl ...