Myronyuk, Margaryta The Heyde theorem on a group \(\mathbb{R}^n \times D\), where \(D\) is a discrete Abelian group. (English) Zbl 1514.60006 J. Theor. Probab. 36, No. 1, 593-604 (2023). Reviewer: Fraser Daly (Edinburgh) MSC: 60B15 62E10 PDFBibTeX XMLCite \textit{M. Myronyuk}, J. Theor. Probab. 36, No. 1, 593--604 (2023; Zbl 1514.60006) Full Text: DOI arXiv
Myronyuk, Margaryta On a group analogue of the Heyde theorem. (English) Zbl 1434.60016 Forum Math. 32, No. 2, 307-318 (2020). MSC: 60B15 62E10 PDFBibTeX XMLCite \textit{M. Myronyuk}, Forum Math. 32, No. 2, 307--318 (2020; Zbl 1434.60016) Full Text: DOI arXiv
Feldman, Gennadiy; Myronyuk, Margaryta On the Skitovich-Darmois theorem for some locally compact abelian groups. (English) Zbl 1406.60011 Aequationes Math. 92, No. 6, 1129-1147 (2018). MSC: 60B15 62E10 39B52 PDFBibTeX XMLCite \textit{G. Feldman} and \textit{M. Myronyuk}, Aequationes Math. 92, No. 6, 1129--1147 (2018; Zbl 1406.60011) Full Text: DOI arXiv
Myronyuk, Margaryta Random walks on discrete abelian groups. (English) Zbl 1393.60047 Colloq. Math. 152, No. 2, 273-284 (2018). MSC: 60G50 60B15 43A25 PDFBibTeX XMLCite \textit{M. Myronyuk}, Colloq. Math. 152, No. 2, 273--284 (2018; Zbl 1393.60047) Full Text: DOI arXiv
Myronyuk, M. V. Random walks on discrete abelian groups. (Ukrainian. English summary) Zbl 1340.60004 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2015, No. 4, 18-22 (2015). MSC: 60B15 PDFBibTeX XMLCite \textit{M. V. Myronyuk}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2015, No. 4, 18--22 (2015; Zbl 1340.60004) Full Text: DOI
Myronyuk, M. V.; Feldman, G. M. Independent linear statistics on the cylinders. (English. Russian original) Zbl 1320.60019 Theory Probab. Appl. 59, No. 2, 260-278 (2015); translation from Teor. Veroyatn. Primen. 59, No. 2, 252-275 (2014). MSC: 60B15 60E10 PDFBibTeX XMLCite \textit{M. V. Myronyuk} and \textit{G. M. Feldman}, Theory Probab. Appl. 59, No. 2, 260--278 (2015; Zbl 1320.60019); translation from Teor. Veroyatn. Primen. 59, No. 2, 252--275 (2014) Full Text: DOI arXiv
Feldman, Gennadiy; Myronyuk, Margaryta On a characterization theorem on abelian groups. (English) Zbl 1240.60006 Publ. Math. Debr. 77, No. 3-4, 383-398 (2010). Reviewer: Carlo Sempi (Lecce) MSC: 60B15 62E10 39B99 PDFBibTeX XMLCite \textit{G. Feldman} and \textit{M. Myronyuk}, Publ. Math. Debr. 77, No. 3--4, 383--398 (2010; Zbl 1240.60006)
Myronyuk, M. V. On a characterization theorem for discrete Abelian groups. (Russian. English summary) Zbl 1199.60026 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2010, No. 2, 24-27 (2010). MSC: 60B15 PDFBibTeX XMLCite \textit{M. V. Myronyuk}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2010, No. 2, 24--27 (2010; Zbl 1199.60026)
Myronyuk, Margaryta Heyde’s characterization theorem for discrete abelian groups. (English) Zbl 1189.60017 J. Aust. Math. Soc. 88, No. 1, 93-102 (2010). Reviewer: Gennadiy M. Fel’dman (Khar’kov) MSC: 60B15 62E10 PDFBibTeX XMLCite \textit{M. Myronyuk}, J. Aust. Math. Soc. 88, No. 1, 93--102 (2010; Zbl 1189.60017) Full Text: DOI arXiv
Mironyuk, M. V.; Fel’dman, G. M. On the Skitovich-Darmois theorem for connected abelian groups. (English. Russian original) Zbl 1320.60018 Dokl. Math. 79, No. 1, 6-9 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 424, No. 1, 12-15 (2009). Reviewer: Aleksandar Perović (Berlin) MSC: 60B15 43A25 PDFBibTeX XMLCite \textit{M. V. Mironyuk} and \textit{G. M. Fel'dman}, Dokl. Math. 79, No. 1, 6--9 (2009; Zbl 1320.60018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 424, No. 1, 12--15 (2009) Full Text: DOI
Feldman, Gennadiy; Myronyuk, Margaryta The Skitovich-Darmois equation in the classes of continuous and measurable functions. (English) Zbl 1138.39021 Aequationes Math. 75, No. 1-2, 75-92 (2008). MSC: 39B52 60B15 PDFBibTeX XMLCite \textit{G. Feldman} and \textit{M. Myronyuk}, Aequationes Math. 75, No. 1--2, 75--92 (2008; Zbl 1138.39021) Full Text: DOI
Myronyuk, Margaryta An analogue of the Bernstein theorem for the cylinder. (English) Zbl 1094.39023 Aequationes Math. 71, No. 1-2, 54-69 (2006). Reviewer: Jacek Chmielinski (Kraków) MSC: 39B52 60B15 60E10 PDFBibTeX XMLCite \textit{M. Myronyuk}, Aequationes Math. 71, No. 1--2, 54--69 (2006; Zbl 1094.39023) Full Text: DOI
Mironyuk, M. V. On the Bernstein characterization theorem on a cylinder. (Russian. English summary) Zbl 1064.60009 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2005, No. 1, 25-28 (2005). MSC: 60B15 PDFBibTeX XMLCite \textit{M. V. Mironyuk}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2005, No. 1, 25--28 (2005; Zbl 1064.60009)
Myronyuk, M. V. On the Skitovich-Darmois theorem for Abelian groups. (Ukrainian, English) Zbl 1070.22002 Ukr. Mat. Zh. 56, No. 10, 1342-1356 (2004); translation in Ukr. Math. J. 56, No. 10, 1602-1618 (2004). MSC: 22D05 PDFBibTeX XMLCite \textit{M. V. Myronyuk}, Ukr. Mat. Zh. 56, No. 10, 1342--1356 (2004; Zbl 1070.22002); translation in Ukr. Math. J. 56, No. 10, 1602--1618 (2004) Full Text: DOI
Myronyuk, M. V.; Fel’dman, G. M. On characterization theorem on finite Abelian groups. (Russian. English summary) Zbl 1051.60007 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2004, No. 4, 23-27 (2004). MSC: 60B15 PDFBibTeX XMLCite \textit{M. V. Myronyuk} and \textit{G. M. Fel'dman}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2004, No. 4, 23--27 (2004; Zbl 1051.60007)