Exponentially decaying eigenvectors for certain almost periodic\n operators

2000/03/29 by Norbert Riedel, Riedel, Norbert
Computer Science · Mathematics · Physics and Astronomy · #11J91 #30F99 #31A35 #34C27 #46L99 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Mathematical functions and polynomials #Matrix Theory and Algorithms #Quantum chaos and dynamical systems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.math/0003205

openalex publication_date 2000/03/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For certain one-dimensional Schroedinger-type difference operators with a\ncomplex potential, a "complete" set of exponentially decaying eigenvectors is\nshown to exist. "Completeness" entails that the parameters involved are\nobtained through evaluation of analytic functions on a Riemann surface.\n

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