Relative oscillation theory for Sturm-Liouville operators extended |
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| Authors: | Helge Krüger Gerald Teschl |
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| Institution: | a Faculty of Mathematics, Nordbergstrasse 15, 1090 Wien, Austria
b International Erwin Schrödinger Institute for Mathematical Physics, Boltzmanngasse 9, 1090 Wien, Austria |
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| Abstract: | We extend relative oscillation theory to the case of Sturm-Liouville operators Hu=r−1(−′(pu′)+qu) 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. |
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| Keywords: | Sturm-Liouville operators Oscillation theory Spectral shift function |
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