Homogeneous rank one perturbations

Abstract

A holomorphic family of closed operators with a rank one perturbation given by the function $x^{\frac{m}{2}}$ is studied. The operators can be used in a toy model of renormalization group.

20 pages

References in corpus (1)

• On Schroedinger operators with inverse square potentials on the half-line

Cited by in corpus (2)

• 1-dimensional Schrodinger operators with complex potentials
• Point potentials on Euclidean space, hyperbolic space and sphere in any dimension