Approximation theorems for Pascali systems

Drinovec-Drnovšek, Barbara (author), Kuzman, Uroš (author)

Based on the Runge theorem for generalized analytic vectors proved by Goldschmidt in 1979, we provide a Mergelyan-type and a Carleman-type approximation theorems for solutions of Pascali systems.

• Language: English
• Keywords: Pascali systems, Runge theorem, Mergelyan theorem, admissible sets, Carleman's approximation theorem
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Year: 2022
• Number of pages: Str. 2271-2280
• Numbering: Vol. 67, no. 9
• PID: 20.500.12556/RUL-141242
• UDC: 517.55
• ISSN on article: 1747-6933
• DOI: 10.1080/17476933.2021.1955588
• COBISS.SI-ID: 73032707
• Publication date in RUL: 26.09.2022

Record is a part of a journal

• Title: Complex variables and elliptic equations
• Publisher: Taylor & Francis
• ISSN: 1747-6933
• COBISS.SI-ID: 513019929

Licences

• License: CC BY-NC-ND 4.0, Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
• Link: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Description: The most restrictive Creative Commons license. This only allows people to download and share the work for no commercial gain and for no other purposes.

Secondary language

• Language: Slovenian
• Keywords: Pascalijevi sistemi, Rungejev izrek, Mergelyanov izrek, Carlemanov aproksimacijski izrek