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Green's function asymptotic behavior near a non-degenerate spectral edge of a periodic operator

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Periodic and Ergodic Spectral Problems

Co-authors: Minh Kha (Texas A&M University), Andrew Raich (University of Arkansas)

Green’s function behavior near and at a spectral edge of a periodic operator is one of what was called by M. Birman and T. Suslina “threshold properties.” I.e., it depends on the local behavior of the dispersion relation near the edge. The recent results are presented for the case of a non-degenerate spectral edge (which is conjectured to be the generic situation).

This is a joint work with Minh Kha (Texas A&M) and Andrew Raich (Univ. of Arkansas)

This talk is part of the Isaac Newton Institute Seminar Series series.

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