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Titchmarsh-Weyl theory for vector valued Schrodinger operators

Published 14 Aug 2017 in math-ph and math.MP | (1708.04306v1)

Abstract: We develop the Titchmarsh-Weyl theory for vector-valued discrete Schr\"odinger operators and show that the Weyl $m$ functions associated with these operators map complex upper half plane to the Siegel upper half space. We also discuss about the Weyl disk and Weyl circle corresponding to these operators.

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