Jerusalem Mathematics Colloquium

Thursday, 27th April 2006, 4:00 pm
Mathematics Building, Lecture Hall 2

Yoram Last
(Hebrew University)

"A New Proof of Poltoratskii's Theorem"

Abstract: Poltoratskii's theorem (first proved by Poltoratskii in 1993) says that the ratio of Borel-Stieltjes transforms of two complex-valued Borel measures on the real line, in the limit of approaching the real line, converges to the corresponding Radon-Nikodym derivative almost everywhere with respect to their singular (w.r.t. Lebesgue measure) parts. The talk will discuss some consequences of this theorem and present a surprisingly simple proof of it using the spectral theorem and rank-one perturbations of self-adjoint operators. This is joint work with V. Jaksic.

Light refreshments will be served in the faculty lounge at 3:30.

List of talks, 2005-06
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