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

Thursday 25th June 2015 - 16:00 to 17:00
INI Seminar Room 1
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)

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons