3 papers
math.SP2024
Essential self-adjointness of strongly singular homogeneous polyharmonic operators
Fritz Gesztesy, Markus Hunziker
We consider essential self-adjointness of strongly singular, homogeneous, polyharmonic operators of the form \[ T_m = \left((-Δ)^m + c|x|^{-2m}\right)\big|_{C_0^{\infty}(\mathbb{R}…
math.CA2023
Meijer's -function and Euler's differential equation revisited
Fritz Gesztesy, Markus Hunziker
We consider the generalized eigenvalue problem for the classical Euler differential equation and demonstrate its intimate connection with Meijer's -functions. In the course of d…
solv-int1999
A Spectral Mapping Theorem and Invariant Manifolds for Nonlinear Schrödinger Equations
F. Gesztesy, C. K. R. T. Jones, Y. Latushkin +1
A spectral mapping theorem is proved that resolves a key problem in applying invariant manifold theorems to nonlinear Schr\" odinger type equations. The theorem is applied to the o…