Spaces of analytic functions on essentially pluripolar compacta

Zakharyuta, Vyacheslav (2018) Spaces of analytic functions on essentially pluripolar compacta. Functiones et Approximatio, Commentarii Mathematici, 59 (1). pp. 141-152. ISSN 0208-6573 (Print) 2080-9433 (Online)

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LetA (K) be the locally convex space of all analytic germs on a compact subset K of a Stein manifold Ω, dim Ω = n, endowed with the standard inductive topogy, let 0n denote the origin of Cn, The main result is the characterisation of the isomorphism A (K) ≃ A ({0n}) in terms of pluripotential theory. It is based on the general result of Aytuna-Krone-Terzioğlu on the characterisation of power series spaces of infinite type in terms of interpolational invariants (DN) and (Ω).
Item Type: Article
Uncontrolled Keywords: Complete pluripolarity; Interpolation invariants; Spaces of analytic functions
Divisions: Faculty of Engineering and Natural Sciences
Depositing User: Vyacheslav Zakharyuta
Date Deposited: 26 Jul 2023 10:04
Last Modified: 26 Jul 2023 10:04

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