Browsing by MSC "33"
Now showing items 112 of 12

The algebra of differential operators for a Gegenbauer weight matrix
[OWP201507] (Mathematisches Forschungsinstitut Oberwolfach, 20150729)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 ... 
0605  Convex and Algebraic Geometry
[OWR20065] (2006)  (29 Jan  04 Feb 2006)The subjects of convex and algebraic geometry meet primarily in the theory of toric varieties. Toric geometry is the part of algebraic geometry where all maps are given by monomials in suitable coordinates, and all equations ... 
0840  Geometry and Arithmetic around Hypergeometric Functions
[OWR200845] (2008)  (28 Sep  04 Oct 2008) 
MehlerHeine asymptotics of a class of generalized hypergeometric polynomials :
[OWP201323] (Mathematisches Forschungsinstitut Oberwolfach, 20131029)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 ... 
1508b  MiniWorkshop: Coideal Subalgebras of Quantum Groups
[OWR201510] (2015)  (15 Feb  21 Feb 2015)Coideal subalgebras of quantized enveloping algebras appear naturally if one considers quantum group analogs of Lie subalgebras. Examples appear in the theory of quantum integrable systems with boundary and in harmonic ... 
2339b  MiniWorkshop: Multivariate Orthogonal Polynomials: New synergies with Numerical Analysis
[OWR202343] (2023)  (24 Sep  29 Sep 2023)Multivariate polynomials and, in particular, multivariate orthogonal polynomials (MOPs) are research areas within the fields of special functions, Lie groups, quantum groups, computer algebra to name only some of them. ... 
1240a  MiniWorkshop: Nichols Algebras and Weyl Groupoids
[OWR201247] (2012)  (30 Sep  06 Oct 2012)Nichols algebras are graded braided Hopf algebras satisfying a universal property. Many structural results of a Nichols algebra can be obtained by studying itsWeyl groupoid and its homology. In the miniworkshop, introductions ... 
Multivariate Hybrid Orthogonal Functions
[OWP202004] (Mathematisches Forschungsinstitut Oberwolfach, 20200312)We consider multivariate orthogonal functions satisfying hybrid orthogonality conditions with respect to a moment functional. This kind of orthogonality means that the product of functions of different parity order ... 
Plethysms, replicated Schur functions and series, with applications to vertex operators
[OWP201012] (Mathematisches Forschungsinstitut Oberwolfach, 20100314)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 ... 
2211a  The LaguerrePólya Class and Combinatorics
[OWR202213] (2022)  (13 Mar  19 Mar 2022)The talks at the workshop were focused on zero localization and zero finding of entire functions, with applications to analytic number theory and combinatorics. The discussions included specific areas such as stable and ... 
Time and band limiting for matrix valued functions, an example
[OWP201508] (Mathematisches Forschungsinstitut Oberwolfach, 20150729)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 KirillovReshetikhin Crystals I: Lifting the Parabolic Quantum Bruhat Graph
[OWP201218] (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 levelzero weight poset first considered by Littelmann. The lift into the affine Weyl ...