Analytic functionals and Bergman spaces

Paul Zorn

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J. Siciak (1970)

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David E. Barrett (1983)

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Analytic functions in general analysis

Angus E. Taylor (1937)

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Mohamed S. Baouendi (1981)

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Existence and uniqueness of analytic solutions of the Shabat equation.

Petropoulou, Eugenia N. (2005)

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Analytic continuation for some classes of separately analytic functions of real variables

Nguyen Thanh Van (2003)

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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.

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.