A. Pushnitski

activity

19992025

most citedThe Analytic Theory of Matrix Orthogonal Polynomials

188 citations · 327 across the 48 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.FA2019★ 1 cited

The structure of Schmidt subspaces of Hankel operators: a short proof

Alexander Pushnitski, Patrick Gerard

We give a short proof of the main result of our previous paper [2]: every Schmidt subspace of a Hankel operator is the image of a model space by an isometric multiplier. This class…

math.SP2019

Kato smoothness and functions of perturbed self-adjoint operators

Rupert L. Frank, Alexander Pushnitski

We consider the difference $f (H_{1}) - f (H_{0})$ for self-adjoint operators $H_{0}$ and $H_{1}$ acting in a Hilbert space. We establish a new class of estimates for the operator norm and the…

math.SP2019

Schatten class conditions for functions of Schrödinger operators

Rupert L. Frank, Alexander Pushnitski

We consider the difference $f (H_{1}) - f (H_{0})$ , where $H_{0} = - Δ$ and $H_{1} = - Δ + V$ are the free and the perturbed Schrödinger operators in $L^{2} (R^{d})$ , and $V$ is a real-valued short…