| Title: | Carleman approximation by non-critical functions on Riemann surfaces |
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| Authors: | ID Učakar, Beno (Author) |
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| Files: |  PDF - Presentation file, download (397,11 KB)
MD5: 0BA1BADEA8D32B6EEB1708E2ABB4DAA8
 URL - Source URL, visit https://link.springer.com/article/10.1007/s13324-025-01157-4
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: |  IMFM - Institute of Mathematics, Physics, and Mechanics
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| Abstract: | We present the class of semi-admissible subsets of an open Riemann surface on which Carleman approximation by non-critical holomorphic functions is possible. In particular we characterize closed sets with empty interior on which continuous functions can be approximated by non-critical holomorphic ones. We also consider a different approach, which in some cases gives uniform approximation by non-critical holomorphic functions on more general sets than semi-admissible ones. |
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| Keywords: | Carleman approximation, holomorphic functions, critical points, non-critical functions, semi-admissible sets |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.02.2026 |
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| Year of publishing: | 2026 |
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| Number of pages: | 18 str. |
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| Numbering: | Vol. 16, iss. 1, article no. 19 |
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| PID: | 20.500.12556/DiRROS-27352  |
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| UDC: | 517.5 |
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| ISSN on article: | 1664-2368 |
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| DOI: | 10.1007/s13324-025-01157-4 |
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| COBISS.SI-ID: | 267095811 |
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| Note: |
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| Publication date in DiRROS: | 03.02.2026 |
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| Views: | 415 |
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| Downloads: | 262 |
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| Metadata: |    |
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