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arXiv · 2103.04820

Half line Titchmarsh-Weyl $m$ functions of vector-valued discrete Schrodinger operators

Keshav Raj Acharya·Matt McBride
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Abstract

We show that the half-line $m$ functions associated with the vector-valued Schrodinger operators are the elements in the Siegel upper half space. We introduce a metric on the space of $m$ functions associated to the vector-valued discrete Schrodinger operators. Then we show that the action of transfer matrices on these $m$ functions is distance decreasing.

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Keshav Raj Acharya, Matt McBride. 2021-03-05. Half line Titchmarsh-Weyl $m$ functions of vector-valued discrete Schrodinger operators. https://arxiv.org/abs/2103.04820

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