Uniqueness theorems for harmonic functions which vanish at lattice points

DOI10.1016/0021-9045(79)90063-7zbMath0418.31001OpenAlexW1985821899MaRDI QIDQ755717

David H. Armitage

Publication date: 1979

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(79)90063-7

zbMATH Keywords

harmonic functionsfunctions of exponential typeentire functions of a complex variable

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05)

Related Items (5)

On sequence space representation and extension of vector-valued functions ⋮ An interpolation formula for harmonic functions on the set of integers ⋮ Reconstruction of polyharmonic functions from samples ⋮ Harmonic functions with polynomial growth on lattice points ⋮ An entire holomorphic function associated to an entire harmonic function

Cites Work

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• Interference phenomena for entire functions
• Carlson theorem for harmonic functions in R\(^n\)
• An interpolation formula for harmonic functions
• Spherical harmonics
• A uniqueness theorem for harmonic functions
• Uniqueness Theorems for Harmonic Functions of Exponential Growth

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