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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

Analysis and Mathematical Physics , Volume 10 (1) – Dec 23, 2019

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Publisher
Springer Journals
Copyright
Copyright © 2019 by Springer Nature Switzerland AG
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

References