On the multivariate transfinite diameter

• Autorzy: Thomas Bloom , Jean-Paul Calvi
• Języki publikacji: EN

Abstrakty

EN

We prove several new results on the multivariate transfinite diameter and its connection with pluripotential theory: a formula for the transfinite diameter of a general product set, a comparison theorem and a new expression involving Robin's functions. We also study the transfinite diameter of the pre-image under certain proper polynomial mappings.

Słowa kluczowe

EN

Robin's functions; extremal plurisubharmonic functions; minimal polynomials; multivariate transfinite diameter; Chebyshev polynomials

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1999
• Tom: 72
• Numer: 3
• Strony: 285-305

Daty

wydano

1999

otrzymano

1999-06-25

poprawiono

1999-10-11

poprawiono

1999-11-10

Twórcy

autor

Thomas Bloom

• Department of Mathematics, University of Toronto, M5S 3G3, Toronto, Ontario, Canada

autor

Jean-Paul Calvi

• Laboratoire de Mathématiques E. Picard, UFR MIG, Université Paul Sabatier, 31062 Toulouse Cedex, France

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