Pluriharmonic interpolation and hulls of C1 curves in the unit sphere.

Herbert Alexander; Joaquim Bruna

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Displaying similar documents to “Pluriharmonic interpolation and hulls of C1 curves in the unit sphere.”

The ends of discs

Josip Globevnik, Edgar Lee Stout (1986)

Bulletin de la Société Mathématique de France

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Maximum modulus sets and reflection sets

Alexander Nagel, Jean-Pierre Rosay (1991)

Annales de l'institut Fourier

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We study sets in the boundary of a domain in $C^{n}$ , on which a holomorphic function has maximum modulus. In particular we show that in a real analytic strictly pseudoconvex boundary, maximum modulus sets of maximum dimension are real analytic. Maximum modulus sets are related to , which are sets along which appropriate collections of holomorphic and antiholomorphic functions agree.