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Seminar in Geometry and Topology

TuesdayJan 22, 201916:15
Seminar in Geometry and TopologyRoom 1
Speaker:Avner Kiro Title:On Taylor coefficients of smooth functionsAbstract:opens in new windowin html    pdfopens in new window

The talk will be about two classical problems in the theory of Carleman classes of smooth functions. The first one is to describe the image of a Carleman class under the Borel map (which maps a smooth function to its jet of Taylor coefficients at a given point). The second one concerns possible ways to construct a function in a given Carleman class with prescribed Taylor coefficients. I will present solutions to both problems. If time permits, I will also discuss related problems which originate in the singularity theory of Carleman classes.