| Title: | Constructive approach to the truncated moment problem on reducible cubic curves: hyperbolic-type relations |
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| Authors: | ID Yoo, Seonguk (Author)
ID Zalar, Aljaž (Author) |
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| Files: |  PDF - Presentation file, download (943,64 KB)
MD5: 9E8913E37F1E45ED30FFB6BC91209D0E
 URL - Source URL, visit https://link.springer.com/article/10.1007/s43037-026-00508-y
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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: | 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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| Keywords: | truncated moment problems, K-moment problems, K-representing measure, minimal measure, moment matrix extensions |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.10.2026 |
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| Year of publishing: | 2026 |
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| Number of pages: | 58 str. |
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| Numbering: | Vol. 20, iss. 4, article no. 44 |
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| PID: | 20.500.12556/DiRROS-31341  |
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| UDC: | 517.9 |
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| ISSN on article: | 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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| Note: |
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| Publication date in DiRROS: | 29.07.2026 |
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| Views: | 137 |
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| Downloads: | 97 |
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| Metadata: |    |
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