Time

Feb 22 2006 - 5:30pm

Location

EA 265

Speaker

Prof. Boris Mityagin (The Ohio State University)

Abstract

This is a joint work with Plamen Djakov, Sofia University. We consider 1D periodic Schroedinger, or Hill, operators with H^(-1) potentials and analyze their spectra, zones of instability and the rate of their decay, convergence or divergence of spectral decompositions. In this setting there are many new technical effects and difficulties which are absent in the case of L_2 potentials.