Siciak’s homogeneous extremal functions, holomorphic extension and a generalization of Helgason’s support theorem

DOI10.4064/ap190128-22-7zbMath1436.32011arXiv1902.01134OpenAlexW2975094662MaRDI QIDQ5207245

Jöran Bergh, Ragnar Sigurdsson

Publication date: 19 December 2019

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.01134

zbMATH Keywords

Radon transformentire functionindicator functionexponential typepluripolar setgrowth order and typeSiciak's weighted homogeneous extremal function

Mathematics Subject Classification ID

Entire functions of several complex variables (32A15) Special classes of entire functions of one complex variable and growth estimates (30D15) Plurisubharmonic extremal functions, pluricomplex Green functions (32U35)

Cites Work

• Growth properties of plurisubharmonic functions related to Fourier-Laplace transforms
• Integral Geometry and Radon Transforms
• Growth properties of analytic and plurisubharmonic functions of finite order.
• On series of homogeneous polynomials and their partial sums
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