The truncated moment problem on reducible cubic curves. I,Parabolic and circular type relations

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The truncated moment problem on reducible cubic curves. I, Parabolic and circular type relations

Yoo, Seonguk ; Zalar, Aljaž

V tem članku rešujemo prirezani momentni problem (PMP) stopnje ▫$2k$▫ na nerazcepnih ravninskih kubičnih krivuljah. Najprej pokažemo, da se vsak tak PMP po uporabi afine linearne transformacije ... prevede na eno od 8 kanoničnih oblik krivulje. Primer unije treh vzporednih premic je rešil drugi avtor (2022), primere stopnje 6 pa prvi avtor (2017). Nato v smislu konkretnih numeričnih pogojev karakteriziramo obstoj rešitve PMP za dva od preostalih primerov, tj. unijo premice in krožnice, ter unijo premice in parabole. V obeh primerih določimo tudi število atomov v minimalni reprezentirajoči meri.

Source: Complex analysis and operator theory. - ISSN 1661-8254 (Vol. 18, iss. 5, [article no.] 111, July 2024, 54 str.)

Type of material - article, component part ; adult, serious

Publish date - 2024

Language - english

COBISS.SI-ID - 199070723

Link(s):
https://link.springer.com/article/10.1007/s11785-024-01554-w
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Author	Yoo, Seonguk ; Zalar, Aljaž
Title	The truncated moment problem on reducible cubic curves. I, Parabolic and circular type relations
Publication date	2024-06-01
COBISS.SI-ID	199070723
Publication version in repository	Publisher's version
Publication licence	Creative Commons Attribution 4.0 International
Embargo	Immediate publication for public

Project(s) from which the publication was funded

Title	Project ID	Funder
Algebra in njena uporaba	P1-0288-2022	Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije
Realna algebraična geometrija v matričnih spremenljivkah	J1-50002-2023	Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije
Matrično konveksne množice in realna algebraična geometrija	J1-2453-2020	Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije
Hkratna podobnost matrik	J1-3004-2021	Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije

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https://link.springer.com/article/10.1007/s11785-024-01554-w
https://repozitorij.uni-lj.si/IzpisGradiva.php?id=158635
https://dirros.openscience.si/IzpisGradiva.php?id=19116

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source: Complex analysis and operator theory. - ISSN 1661-8254 (Vol. 18, iss. 5, [article no.] 111, July 2024, 54 str.)

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Links to authors' personal bibliographies	Links to information on researchers in the SICRIS system
Yoo, Seonguk
Zalar, Aljaž	36360

Source: Personal bibliographies and: SICRIS

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