Graduate from Gomel State University in 1974, post graduate course — Moscow State University (scientific adviser — professor E. A. Gorin), PhD — 1987, Voronezh, VSU; D.Sc. — 2001, Minsk, BSU. Director of department of mathematical analysis of Skoryna Gomel State University (Belarus).
Main publications:
A. R. Mirotin, “Invariant Measure Semigroup Contains an Ideal which is Embeddeble in Groupе”, Semigroup Forum, 59:3 (1999), 354–361
A. R. Mirotin, “Positive Semicharacters of Lie Semigroups”, Positivity, 3:1 (1999), 23–31
A. R. Mirotin, “On the Extensions of Infinite-Dimensional Representations of Lie Semigroups”, Int. J. Math. Math. Sci., 29:4 (2002), 195–207
A. R. Mirotin, “Criteria of Analyticity of Subordinate Semigroups”, Semigroup Forum, 78:2 (2009), 262–275
A. R. Mirotin, “On the essensial spectrum of $\lambda$-Toeplitz operators over compact Abelian groups”, J. Math. Anal. Appl., 424:2 (2015), 1286–1295
E. Yu. Kuzmenkova, A. R. Mirotin, “On normal $\mu$-Hankel operators”, Vladikavkaz. Mat. Zh., 24:1 (2022), 36–43
2021
2.
A. R. Mirotin, “Compact Hankel operators over compact Abelian groups”, Algebra i Analiz, 33:3 (2021), 191–212; St. Petersburg Math. J., 33:3 (2022), 569–584
3.
A. R. Mirotin, “The inversion of series of resolvents of a closed operator and some of its applications”, Mat. Tr., 24:2 (2021), 105–121
2020
4.
A. R. Mirotin, “Letter to the editors”, Journal of the Belarusian State University. Mathematics and Informatics, 3 (2020), 92
5.
A. R. Mirotin, “Hausdorff operators on homogeneous spaces of locally compact groups”, Journal of the Belarusian State University. Mathematics and Informatics, 2 (2020), 28–35
A. R. Mirotin, I. S. Kovaleva, “Discrete-time systems with frequency response of the Markov–Stieltjes type”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 6, 36–47; Russian Math. (Iz. VUZ), 64:6 (2020), 29–39
7.
A. R. Mirotin, “On connections between the Bochner–Phillips and Hille–Phillips functional calculi”, Trudy Inst. Mat. i Mekh. UrO RAN, 26:3 (2020), 118–132
2019
8.
A. R. Mirotin, “On the stricture of normal Hausdorff operators on Lebesgue spaces”, Funktsional. Anal. i Prilozhen., 53:4 (2019), 27–37
A. R. Mirotin, “On some functional calculus of closed operators on Banach space. III. Some topics of perturbation theory”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 12, 24–34; Russian Math. (Iz. VUZ), 61:12 (2017), 19–28
A. R. Mirotin, “Corrections and Complements to My Paper “On a Class of Operator Monotone Functions of Several Variables””, Mat. Zametki, 101:6 (2017), 944–948; Math. Notes, 101:6 (2017), 1061–1065
A. R. Mirotin, E. Yu. Kuz'menkova, “On Hankel operators associated with linearly ordered abelian groups”, Trudy Inst. Mat. i Mekh. UrO RAN, 22:4 (2016), 201–214
A. A. Atvinovskii, A. R. Mirotin, “On some functional calculus of closed operators in a Banach space. II”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 5, 3–16; Russian Math. (Iz. VUZ), 59:5 (2015), 1–12
R. V. Dyba, A. R. Mirotin, “Functions of bounded mean oscillation and Hankel operators on compact abelian groups”, Trudy Inst. Mat. i Mekh. UrO RAN, 20:2 (2014), 135–144
A. A. Atvinovskii, A. R. Mirotin, “On some functional calculus of closed operators in a Banach space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 10, 3–15; Russian Math. (Iz. VUZ), 57:10 (2013), 1–12
A. R. Mirotin, “The Shilov boundary and the Gelfand spectrum of algebras of generalized analytic functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 3, 41–49; Russian Math. (Iz. VUZ), 55:3 (2011), 36–43
29.
A. R. Mirotin, M. A. Romanova, “On some characterization of Arens-Singer generalized analytic functions”, PFMT, 2011, no. 2(7), 65–68
30.
A. R. Mirotin, “Fredholm and spectral properties of Toeplitz operators on $H^p$ spaces over ordered groups”, Mat. Sb., 202:5 (2011), 101–116; Sb. Math., 202:5 (2011), 721–737
A. R. Mirotin, “On some properties of the multidimensional Bochner–Phillips functional calculus”, Sibirsk. Mat. Zh., 52:6 (2011), 1300–1312; Siberian Math. J., 52:6 (2011), 1032–1041
A. R. Mirotin, M. A. Romanova, “Interpolation sets for the algebra of generalized analytic functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2007, no. 3, 51–59; Russian Math. (Iz. VUZ), 51:3 (2007), 46–54
A. R. Mirotin, “On some functions that map each generator of a $C_0$-semigroup into the generator of a holomorphic semigroup”, Sibirsk. Mat. Zh., 43:1 (2002), 144–154; Siberian Math. J., 43:1 (2002), 114–123
A. R. Mirotin, “The Laplace transform and a noncommutative version of the Payley–Wiener theorem”, Izv. Vyssh. Uchebn. Zaved. Mat., 2000, no. 9, 16–20; Russian Math. (Iz. VUZ), 44:9 (2000), 14–18
37.
A. R. Mirotin, “Letter to the editors”, Sibirsk. Mat. Zh., 41:4 (2000), 960; Siberian Math. J., 41:4 (2000), 800
A. R. Mirotin, “The multidimensional $\mathscr T$-calculus of generators of $C_0$-semigroups”, Algebra i Analiz, 11:2 (1999), 142–169; St. Petersburg Math. J., 11:2 (2000), 315–335
A. R. Mirotin, “Functions from the Schoenberg class $\mathscr T$ act in the cone of dissipative elements of a Banach algebra. II”, Mat. Zametki, 64:3 (1998), 423–430; Math. Notes, 64:3 (1998), 364–370
A. R. Mirotin, “On the $\mathscr T$-calculus of generators of $C_0$-semigroups”, Sibirsk. Mat. Zh., 39:3 (1998), 571–582; Siberian Math. J., 39:3 (1998), 493–503
A. R. Mirotin, “Functions from the Schoenberg class $\mathscr T$ on the cone of dissipative elements of a Banach algebra”, Mat. Zametki, 61:4 (1997), 630–633; Math. Notes, 61:4 (1997), 524–527
V. V. Mukhin, A. R. Mirotin, “Weil topology in a group with a measure invariant on a subset”, Sibirsk. Mat. Zh., 25:3 (1984), 132–136; Siberian Math. J., 25:3 (1984), 447–451
45.
A. R. Mirotin, “Invariant measures in locally compact semigroups with open translations”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1984, no. 4, 12–14
1982
46.
A. R. Mirotin, “The structure of invariant measures on locally compact semigroups with open translations”, Uspekhi Mat. Nauk, 37:1(223) (1982), 151–152; Russian Math. Surveys, 37:1 (1982), 170–171
1978
47.
A. R. Mirotin, V. V. Mukhin, “Invariant measures, extended from a semigroup to the group of its quotients”, Mat. Zametki, 24:6 (1978), 819–828; Math. Notes, 24:6 (1978), 934–938
On a class of Hadamard-Bergman operators S. M. Grudskii, A. N. Karapetyants, A. R. Mirotin VI International Conference "Function Spaces. Differential Operators. Problems of Mathematical Education", dedicated to the centennial anniversary of the corresponding member of Russian Academy of Sciences, academician of European Academy of Sciences L.D. Kudryavtsev November 16, 2023 10:55
3.
On the Gelfand spectrum of a measure algebra A. R. Mirotin International Scientific Conference "Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis - 2023 (OTHA-2023)" August 21, 2023 10:30