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Vladimir Kapustin--Averaged wave operators on the singular spectrum.
发布人:尹智  发布时间:2018-03-12   浏览次数:24

Title: Averaged wave operators on the singular spectrum.

Abstract: Classical scattering theory establishes the existence of strong wave operators on the absolutely continuous subspace for a pair of selfadjoint operators on a Hilbert space, whose difference belongs to the trace class. On the singular spectrum the analog of this result obviously fails. We deal with a much weaker case, namely, we discuss the averaged convergence in the weak operator topology. Our results are connected with the Hilbert transform with respect to a singular measure on the real line.