Null-series on the complex sphere

DOI10.1016/j.jat.2012.07.005zbMath1253.31009OpenAlexW1984449496MaRDI QIDQ1759358

Evgueni Doubtsov, Evgeny V. Abakumov

Publication date: 20 November 2012

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

Full work available at URL: https://doi.org/10.1016/j.jat.2012.07.005

zbMATH Keywords

spherical harmonicnull-seriespluriharmonic Riesz product

Mathematics Subject Classification ID

Pluriharmonic and plurisubharmonic functions (31C10) Plurisubharmonic functions and generalizations (32U05)

Cites Work

• Fonctions intérieurs dans la boule unité de \({\mathbb C}^ n\) dont les fonctions traces sont aussi intérieurs. (Inner functions in the unit ball of \({\mathbb C}^ n\) where the trace functions are also inner functions)
• Uniqueness for trigonometric series
• Henkin measures, Riesz products and singular sets
• A null series with small anti-analytic part.
• Singular measures with small \(H(p,q)\)-projections
• Little Bloch functions, symmetric pluriharmonic measures, and Zygmund's dichotomy
• Analytic representation of functions and a new quasi-analyticity threshold
• On Homogeneous Polynomials on a Complex Ball
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