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math.CV2014
On the analytic and Cauchy capacities
Malik Younsi
We give new sufficient conditions for a compact set to satisfy , where is the analytic capacity and is the Cauchy capacity. As a con…
math.CV2014
Shapes, fingerprints and rational lemniscates
Malik Younsi
It has been known since the work of A.A. Kirillov that any smooth Jordan curve in the plane can be represented by its so-called fingerprint, an orientation preserving smooth diffeo…