Families of analytic discs in with boundaries on a prescribed submanifold
C. Denson Hill, Geraldine Taiani (1978)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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C. Denson Hill, Geraldine Taiani (1978)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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J. Siciak (1970)
Studia Mathematica
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David E. Barrett (1983)
Mathematische Annalen
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Angus E. Taylor (1937)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Mohamed S. Baouendi (1981)
Journées équations aux dérivées partielles
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Petropoulou, Eugenia N. (2005)
Abstract and Applied Analysis
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Nguyen Thanh Van (2003)
Annales Polonici Mathematici
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For functions that are separately solutions of an elliptic homogeneous PDE with constant coefficients, we prove an analogue of Siciak's theorem for separately holomorphic functions.
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 , 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.