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Translation-Invariant Linear Functionals and First Orlicz Cohomology Full article

Journal Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260
Output data Year: 2026, Volume: 67, Number: 5, Pages: 1129-1133 Pages count : 5 DOI: 10.1134/s0037446626050125
Tags finitely generated group, Orlicz space, cohomology, translation-invariant linear functional
Authors Kopylov Ya.A. 1
Affiliations
1 Sobolev Institute of Mathematics, Novosibirsk, Russia

Funding (1)

1 Министерство науки и высшего образования РФ FWNF-2026-0026

Abstract: We discuss the relation between the first ℓΦ-cohomology of an infinite finitely generated group, with Φ an N-function such that Φ and its complementary N-function satisfy the doubling condition, and translation-invariant linear functionals on the quotient of the space of Φ-Dirichlet finite functions by the constants.
Cite: Kopylov Y.A.
Translation-Invariant Linear Functionals and First Orlicz Cohomology
Siberian Mathematical Journal. 2026. V.67. N5. P.1129-1133. DOI: 10.1134/s0037446626050125 WOS Scopus OpenAlex
Original: Копылов Я.А.
Трансляционно инвариантные линейные функционалы и одномерные когомологии Орлича
Сибирский математический журнал. 2026. Т.67. №5. С.918-923. DOI: 10.33048/smzh.2026.67.512
Dates:
Submitted: May 13, 2026
Accepted: Aug 7, 2026
Published print: Sep 24, 2026
Published online: Sep 24, 2026
Identifiers:
≡ Web of science: WOS:001885470600001
≡ Scopus: 2-s2.0-105051747984
≡ OpenAlex: W7214173358
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