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Spatial asymptotics of Green’s function and applications

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Abstract

We study the spatial asymptotics of Green’s function for the 1d Schrödinger operator with operator-valued decaying potential. The bounds on the entropy of the spectral measures are obtained. They are used to establish the presence of the a.c. spectrum.

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Authors and Affiliations

  1. Department of Mathematics, University of Wisconsin-Madison, 480 North Lincoln Dr., Madison, WI, 53706, USA

    Sergey A. Denisov

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  1. Sergey A. Denisov
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Correspondence to Sergey A. Denisov.

Additional information

The work was supported by NSF DMS-1764245, NSF DMS-2054465, and Van Vleck Professorship Research Award.

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Denisov, S.A. Spatial asymptotics of Green’s function and applications. JAMA 148, 501–522 (2022). https://doi.org/10.1007/s11854-022-0236-1

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  • DOI: https://doi.org/10.1007/s11854-022-0236-1

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