The research project proposes to develop three research topics related to One Complex Variable, Potencial Theory and Singular Integrals: a) analytic capacity. The goal is to study the semiadditivity problem and the potencial theory of the Cauchy kernel; b) approximation by solutions of elliptic equations. We would like to use spectral synthesis to prove certain open problems in the theory; c) singular integrals on subsets of the plane. We intend to find new characterizations of uniform rectifiability.
|Effective start/end date
|8/07/94 → 8/07/97
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