Now showing items 1-6 of 6

• #### 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 ...
• #### Euler Reflexion Formulas for Motivic Multiple Zeta Functions ﻿

[OWP-2015-17] (Mathematisches Forschungsinstitut Oberwolfach, 2015-11-18)
We introduce a new notion of *-product of two integrable series with coeficients in distinct Grothendieck rings of algebraic varieties, preserving the integrability and commuting with the limit of rational series. In the ...
• #### Getzler rescaling via adiabatic deformation and a renormalized local index formula ﻿

[OWP-2016-18] (Mathematisches Forschungsinstitut Oberwolfach, 2016-10)
We prove a local index theorem of Atiyah-Singer type for Dirac operators on manifolds with a Lie structure at infinity (Lie manifolds for short). After introducing a renormalized supertrace on Lie manifolds with spin ...
• #### Real group orbits on flag ind-varieties of SL (∞, C) ﻿

[OWP-2016-01] (Mathematisches Forschungsinstitut Oberwolfach, 2016-05-10)
We consider the complex ind-group $G=SL (\infty, \mathbb{C})$ and its real forms $G^0=SU(\infty,\infty)$, $SU(p,\infty)$, $SL(\infty,\mathbb{R})$, $SL(\infty,\mathbb{H})$. Our main object of study are the $G^0$-orbits on ...
• #### Right Unimodal and Bimodal Singularities inPositive Characteristic ﻿

[OWP-2015-14] (Mathematisches Forschungsinstitut Oberwolfach, 2015-11-18)
The problem of classification of real and complex singularities was initiated by Arnol'd in the sixties who classified simple, unimodal and bimodal w.r.t. right equivalence. The classification of right simple singularities ...
• #### 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 ...