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On the product property for the transfinite diameter

Zbigniew Błocki, Armen Edigarian, Józef Siciak (2011)

Annales Polonici Mathematici

We give a pluripotential-theoretic proof of the product property for the transfinite diameter originally shown by Bloom and Calvi. The main tool is the Rumely formula expressing the transfinite diameter in terms of the global extremal function.

Opérateurs pseudo-différentiels définis en un point

Ryuichi Ishimura (2006)

Annales Polonici Mathematici

We introduce the notion of pseudo-differential operators defined at a point and we establish a canonical one-to-one correspondence between such an operator and its symbol. We also prove the invertibility theorem for special type operators.

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