A boundary uniqueness theorem for holomorphic functions of several complex variables

DOI10.1007/BF02102390zbMath0292.32002MaRDI QIDQ1211613

Sergey Pinchuk

Publication date: 1974

Published in: Mathematical Notes (Search for Journal in Brave)

Mathematics Subject Classification ID

Holomorphic functions of several complex variables (32A10)

Related Items (17)

Transversal group actions on CR manifolds and embeddability ⋮ Unique continuation and regularity at the boundary for holomorphic functions ⋮ On a boundary analog of the Forelli theorem ⋮ Maximum modulus sets ⋮ Some aspects of holomorphic mappings: a survey ⋮ Discs and boundary uniqueness for psh functions on almost complex manifold ⋮ Unnamed Item ⋮ Some aspects of analysis on almost complex manifolds with boundary ⋮ Minimal dimension families of complex lines sufficient for holomorphic extension of functions ⋮ Unnamed Item ⋮ Fefferman's mapping theorem on almost complex manifolds in complex dimension two ⋮ Maximum modulus sets and reflection sets ⋮ Analytic discs and the regularity of CR mappings in higher codimension ⋮ Germs of holomorphic mappings between real algebraic hypersurfaces ⋮ Holomorphic mappings between domains with low boundary regularity ⋮ The reconstruction of holomorphic functions in domains of \(\mathbb{C}^ n\) ⋮ On envelopes of holomorphy of domains covered by Levi-flat hats and the reflection principle

Cites Work

• Complex analytic coordinates in almost complex manifolds
• On convergence and growth of partial sums of Fourier series
• Differentiable manifolds in complex Euclidean space
• On the local holomorphic hull of a real submanifold in several complex variables

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