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Random tempered distributions on locally compact separable abelian groups. (English) Zbl 07440857

Karapetyants, Alexey N. (ed.) et al., Operator theory and harmonic analysis. OTHA 2020, Part II – probability-analytical models, methods and applications. Based on the international conference on modern methods, problems and applications of operator theory and harmonic analysis. Cham: Springer. Springer Proc. Math. Stat. 358, 147-166 (2021).
MSC:  46F05 43A15 60G20
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Absolute ideals of algebraically compact abelian groups. (English. Russian original) Zbl 1484.20092

J. Math. Sci., New York 259, No. 4, 444-462 (2021); translation from Fundam. Prikl. Mat. 22, No. 5, 91-114 (2019).
MSC:  20K27 20K21 16D25
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On Heyde’s theorem on the group \(\mathbb{R} \times \mathbb{T} \). (English. Russian original) Zbl 1480.60006

Dokl. Math. 102, No. 1, 296-300 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 493, 42-46 (2020).
MSC:  60B15 43A05
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Beurling’s theorem on locally compact abelian groups. (English) Zbl 07407608

Filali, Mahmoud (ed.), Banach algebras and applications. Proceedings of the 23rd international conference, University of Oulu, Finland, November 3–11, 2017. Berlin: De Gruyter. De Gruyter Proc. Math., 1-4 (2020).
MSC:  22B05 54E15 54H11
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Homological properties of quotient divisible abelian groups and compact groups dual to them. (English. Russian original) Zbl 1474.20099

Vestn. St. Petersbg. Univ., Math. 53, No. 2, 149-154 (2020); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 2, 236-244 (2020).
MSC:  20K21 20C05 22B05
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