Relative Oscillation Theory for Sturm-Liouville Operators Extended
classification
🧮 math.SP
math-phmath.MP
keywords
operatorsoscillationrelativespectraltheorycasecertaindifferent
read the original abstract
We extend relative oscillation theory to the case of Sturm--Liouville operators $H u = r^{-1}(-(pu')'+q u)$ with different $p$'s. We show that the weighted number of zeros of Wronskians of certain solutions equals the value of Krein's spectral shift function inside essential spectral gaps.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.