20.500.12556/DiRROS-31341 Constructive approach to the truncated moment problem on reducible cubic curves: hyperbolic-type relations 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. truncated moment problems K-moment problems K-representing measure minimal measure moment matrix extensions prirezani momentni problemi K-momentni problemi K-reprezentirajoča mera minimalna mera razširitve momentne matrike true false true Angleški jezik Slovenski jezik Neznano 2026-07-29 09:00:57 2026-07-29 09:00:57 2026-07-30 03:49:45 0000-00-00 00:00:00 2026 0 0 58 str. iss. 4, article no. 44 Vol. 20 Oct. 2026 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2026-10-01 517.9 1735-8787 10.1007/s43037-026-00508-y 286287107 s43037-026-00508-y.pdf s43037-026-00508-y.pdf 1 9E8913E37F1E45ED30FFB6BC91209D0E 8cceccd522eb76c3888e0ff2d8431bdf181dcac570ad0d6c9d2b24222d3474e3 66323851-8b1b-11f1-923b-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=48479 https://link.springer.com/article/10.1007/s43037-026-00508-y 1 42b8f3e9-8b1b-11f1-923b-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=48478 Inštitut za matematiko, fiziko in mehaniko 0 0 0