Now showing items 1-4 of 4

• #### On the Directionally Newton-non-degenerate Singularities of Complex Hypersurfaces ﻿

[OWP-2008-16] (Mathematisches Forschungsinstitut Oberwolfach, 2008)
We introduce a minimal generalization of Newton-non-degenerate singularities of hypersurfaces. Roughly speaking, an isolated hypersurface singularity is called directionally Newton-non-degenerate if the local embedded ...
• #### On the δ=const Collisions of Singularities of Complex Plane Curves ﻿

[OWP-2008-15] (Mathematisches Forschungsinstitut Oberwolfach, 2008)
We study a specific class of deformations of curve singularities: the case when the singular point splits to several ones, such that the total $\delta$ invariant is preserved. These are also known as equi-normalizable or ...
• #### Urn Models & Operator Ordering Procedures ﻿

[OWP-2008-06] (Mathematisches Forschungsinstitut Oberwolfach, 2008-03-10)
Ordering of operators is purely combinatorial task involving a number of commutators shuffling components of operator expression to desired form. Here we show how it can be illustrated by simple urn models in which normal ...
• #### Weyl-Titchmarsh Functions of Vector-Valued Sturm-Liouville Operators on the Unit Interval ﻿

[OWP-2008-13] (Mathematisches Forschungsinstitut Oberwolfach, 2008)
The matrix-valued Weyl-Titchmarsh functions $M(\lambda)$ of vector-valued Sturm-Liouville operators on the unit interval with the Dirichlet boundary conditions are considered. The collection of the eigenvalues (i.e., poles ...