| Naslov: | Carleman approximation by non-critical functions on Riemann surfaces |
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| Avtorji: | ID Učakar, Beno (Avtor) |
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| Datoteke: |  PDF - Predstavitvena datoteka, prenos (397,11 KB)
MD5: 0BA1BADEA8D32B6EEB1708E2ABB4DAA8
 URL - Izvorni URL, za dostop obiščite https://link.springer.com/article/10.1007/s13324-025-01157-4
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| Jezik: | Angleški jezik |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: |  IMFM - Inštitut za matematiko, fiziko in mehaniko
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| Povzetek: | 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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| Ključne besede: | Carleman approximation, holomorphic functions, critical points, non-critical functions, semi-admissible sets |
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| Status publikacije: | Objavljeno |
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| Verzija publikacije: | Objavljena publikacija |
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| Datum objave: | 01.02.2026 |
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| Leto izida: | 2026 |
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| Št. strani: | 18 str. |
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| Številčenje: | Vol. 16, iss. 1, article no. 19 |
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| PID: | 20.500.12556/DiRROS-27352  |
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| UDK: | 517.5 |
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| ISSN pri članku: | 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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| Opomba: |
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| Datum objave v DiRROS: | 03.02.2026 |
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| Število ogledov: | 411 |
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| Število prenosov: | 262 |
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| Metapodatki: |    |
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