# A Riesz basis criterion for Schrödinger operators with boundary conditions dependent on the eigenvalue parameter

A Riesz basis criterion for Schrödinger operators with boundary conditions dependent on the... We establish a criterion for a set of eigenfunctions of the one-dimensional Schrödinger operator with distributional potentials and boundary conditions containing the eigenvalue parameter to be a Riesz basis for $${\mathscr {L}}_2(0,\pi )$$ L 2 ( 0 , π ) . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Analysis and Mathematical Physics Springer Journals

# A Riesz basis criterion for Schrödinger operators with boundary conditions dependent on the eigenvalue parameter

, Volume 10 (1) – Dec 23, 2019
8 pages

/lp/springer-journals/a-riesz-basis-criterion-for-schr-dinger-operators-with-boundary-O958EpL0Mw
Publisher
Springer Journals
Subject
Mathematics; Analysis; Mathematical Methods in Physics
ISSN
1664-2368
eISSN
1664-235X
DOI
10.1007/s13324-019-00348-0
Publisher site
See Article on Publisher Site

### Abstract

We establish a criterion for a set of eigenfunctions of the one-dimensional Schrödinger operator with distributional potentials and boundary conditions containing the eigenvalue parameter to be a Riesz basis for $${\mathscr {L}}_2(0,\pi )$$ L 2 ( 0 , π ) .

### Journal

Analysis and Mathematical PhysicsSpringer Journals

Published: Dec 23, 2019