Weighted interpolation from certain singular affine hypersurfaces

DOI10.1142/S0129167X15500202zbMath1327.32023arXiv1408.6144WikidataQ125918372 ScholiaQ125918372MaRDI QIDQ4983032

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Publication date: 14 April 2015

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.6144

zbMATH Keywords

weighted interpolationBargmann-Fock spacesingular hypersurfaceuniform flattness

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)

Cites Work

• A formula for interpolation and division in \({\mathbb C}^n\).
• Interpolation and sampling hypersurfaces for the Bargmann-Fock space in higher dimensions
• A Takayama-type extension theorem
• Sampling in weighted \(L^p\) spaces of entire functions in \(\mathbb{C}^n\) and estimates of the Bergman kernel

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