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Analysis and PDEs: Leonid Parnovski (London) - Local Density of states and the spectral function for almost periodic operators | Einstein Institute of Mathematics

Analysis and PDEs: Leonid Parnovski (London) - Local Density of states and the spectral function for almost periodic operators

Date: 
Thu, 09/03/201713:00-14:00
Location: 
Ross 70
I will discuss the asymptotic behaviour (both on and off the diagonal) of the spectral function of a Schroedinger operator with smooth bounded potential when energy becomes large. I formulate the conjecture that the local density of states (i.e. the spectral function on the diagonal) admits the complete asymptotic expansion and discuss the known results, mostly for almost-periodic potentials.