A. Nicoara

will speak on

Failure of the Weierstrass Preparation Theorem in Quasi-analytic Denjoy-Carleman Rings

Time: 3:30PM
Date: Tue 29th September 2015
Location: [map]

Abstract: In 1976 Childress proved Weierstrass Division failed in quasi-analyticDenjoy-Carleman rings. While Weierstrass Division implies theWeierstrass Preparation Theorem, the reverse is not known to hold.The question of whether the Weierstrass Preparation Theorem heldfor Denjoy-Carleman functions or not remained open for over 30years. In joint work with Francesca Acquistapace, Fabrizio Broglia,Michail Bronshtein, and Nahum Zobin, we showed the WeierstrassPreparation Theorem fails for Denjoy-Carleman functions by provinga strong non-extension result.

(This talk is part of the Analysis series.)

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