| Naslov: | Constructive approach to the truncated moment problem on reducible cubic curves: hyperbolic-type relations |
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| Avtorji: | ID Yoo, Seonguk (Avtor)
ID Zalar, Aljaž (Avtor) |
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| Datoteke: |  PDF - Predstavitvena datoteka, prenos (943,64 KB)
MD5: 9E8913E37F1E45ED30FFB6BC91209D0E
 URL - Izvorni URL, za dostop obiščite https://link.springer.com/article/10.1007/s43037-026-00508-y
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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: | In this paper, we solve constructively the bivariate truncated moment problem (TMP) of even degree on reducible cubic curves, where the conic part is a hyperbola. According to the classification from our previous work, these represent three out of nine possible canonical forms of reducible cubic curves after applying an affine linear transformation. Constructive solutions to the TMP on the union of three parallel lines and to the circular- and parabolic-type cases of the TMP are known, while in this paper we consider three hyperbolic-type cases, namely, a type without real self-intersection points, a type with a simple real self-intersection point, and a type with a double real self-intersection point. In all cases, we also establish bounds on the number of atoms in a minimal representing measure. |
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| Ključne besede: | truncated moment problems, K-moment problems, K-representing measure, minimal measure, moment matrix extensions |
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| Status publikacije: | Objavljeno |
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| Verzija publikacije: | Objavljena publikacija |
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| Datum objave: | 01.10.2026 |
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| Leto izida: | 2026 |
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| Št. strani: | 58 str. |
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| Številčenje: | Vol. 20, iss. 4, article no. 44 |
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| PID: | 20.500.12556/DiRROS-31341  |
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| UDK: | 517.9 |
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| ISSN pri članku: | 1735-8787 |
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| DOI: | 10.1007/s43037-026-00508-y |
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| COBISS.SI-ID: | 286287107 |
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| Opomba: |
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| Datum objave v DiRROS: | 29.07.2026 |
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| Število ogledov: | 135 |
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| Število prenosov: | 96 |
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| Metapodatki: |    |
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