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

2021/03/05 by Keshav Raj Acharya, Acharya, Keshav Raj, Matt McBride +1
Mathematics · #FOS: Physical sciences #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #Spectral Theory in Mathematical Physics #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2103.04820

openalex publication_date 2021/03/05 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

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

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