M. Piorkowski

activity

20192026

most citedWiener-Hopf factorizations and matrix-valued orthogonal polynomials

2 citations · 5 across the 13 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.CA2021★ 1 cited

The Jacobi operator and its Donoghue $m$ -functions

Fritz Gesztesy, Mateusz Piorkowski, Jonathan Stanfill

In this paper we construct Donoghue $m$ -functions for the Jacobi differential operator in $L^{2} ((- 1, 1); (1 - x)^{α} (1 + x)^{β} d x)$ , associated to the differential expression \begi…

math.SP2021

Donoghue $m$ -functions for singular Sturm--Liouville operators

Fritz Gesztesy, Lance L. Littlejohn, Roger Nichols +2

Let $A ˙$ be a densely defined, closed, symmetric operator in the complex, separable Hilbert space $H$ with equal deficiency indices and denote by $\mathcal{N}_i = \ke…

math.AP2021

A scalar Riemann-Hilbert problem on the torus: Applications to the KdV equation

Mateusz Piorkowski, Gerald Teschl

We take a closer look at the Riemann-Hilbert problem associated to one-gap solutions of the Korteweg-de Vries equation. To gain more insight, we reformulate it as a scalar Riemann-…

The Jacobi operator and its Donoghue m-functions

Donoghue m-functions for singular Sturm--Liouville operators

A scalar Riemann-Hilbert problem on the torus: Applications to the KdV equation

The Jacobi operator and its Donoghue $m$ -functions

Donoghue $m$ -functions for singular Sturm--Liouville operators