01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
5.03.1960
E-mail:
,
Keywords:
exponential series,
convolution operators,
spaces of analytic functions,
continuous linear right inverse,
projective descriptions,
ultradistributions, Pommiez operator
Main publications:
Melikhov S. N., “O razlozhenii analiticheskikh funktsii v ryady eksponent”, Izv. AN SSSR. Seriya matem., 52:5 (1988), 991–1004
Melikhov S. N., Momm S., “Solutions operators for convolution equations on the germs of analytic functions on compact convex sets in $\mathbb C^N$”, Studia Math., 117:1 (1995), 79–99
Bonet J., Melikhov S. N., “Interpolation of entire functions and projective descriptions”, J. Math. Anal. Appl., 205 (1997), 454–460
Melikhov S. N., Momm S., “Analytic solutions of convolution equations on convex sets with obstacle in the boundary”, Math. Scand., 86 (2000), 293–319
O. A. Ivanova, S. N. Melikhov, “Hadamard-type operators on spaces of holomorphic functions with prescribed behavior near boundary”, Mat. Zametki, 119:1 (2026), 44–64
2025
2.
P. A. Ivanov, S. N. Melikhov, “On commutant of system of integration operators in multidimensional domains”, Ufimsk. Mat. Zh., 17:2 (2025), 29–38; Ufa Math. J., 17:2 (2025), 27–36
3.
O. A. Ivanova, S. N. Melikhov, “Space of holomorphic functions of polynomial growth as local algebra”, Vladikavkaz. Mat. Zh., 27:1 (2025), 44–55
2024
4.
O. A. Ivanova, S. N. Melikhov, “A remark on holomorphic functions rational in some variables”, Sibirsk. Mat. Zh., 65:5 (2024), 921–925; Siberian Math. J., 65:5 (2024), 1112–1115
P. A. Ivanov, S. N. Melikhov, “Many-Dimensional Duhamel Product in the Space of Holomorphic Functions and Backward Shift Operators”, Mat. Zametki, 113:5 (2023), 677–692; Math. Notes, 113:5 (2023), 650–662
O. A. Ivanova, S. N. Melikhov, “On invertibility of Duhamel operator in spaces of ultradifferentiable functions”, Ufimsk. Mat. Zh., 15:4 (2023), 61–74; Ufa Math. J., 15:4 (2023), 62–75
O. A. Ivanova, S. N. Melikhov, “Cyclic vectors and invariant subspaces of the backward shift operator in Schwartz modules”, Funktsional. Anal. i Prilozhen., 56:3 (2022), 39–51; Funct. Anal. Appl., 56:3 (2022), 188–198
O. A. Ivanova, S. N. Melikhov, “Hadamard type operators
in spaces of holomorphic functions on a ball”, Ufimsk. Mat. Zh., 14:3 (2022), 54–62; Ufa Math. J., 14:3 (2022), 51–59
2021
9.
O. A. Ivanova, S. N. Melikhov, Yu. N. Melikhov, “Invariant subspaces of the generalized backward shift operator and rational functions”, Algebra i Analiz, 33:6 (2021), 49–70; St. Petersburg Math. J., 33:6 (2022), 927–942
10.
O. A. Ivanova, S. N. Melikhov, “Operators of Almost Hadamard-Type and the Hardy–Littlewood Operator in the Space of Entire Functions of Several Complex Variables”, Mat. Zametki, 110:1 (2021), 52–64; Math. Notes, 110:1 (2021), 61–71
S. N. Melikhov, L. V. Khanina, “Analytic solutions of convolution equations on convex sets in the complex plane with an open obstacle on the boundary”, Mat. Sb., 211:7 (2020), 121–150; Sb. Math., 211:7 (2020), 1014–1040
12.
A. V. Abanin, V. A. Bogachev, G. G. Braichev, A. O. Vatulyan, M. I. Karyakin, Yu. A. Kiryutenko, A. G. Kusraev, Le Hai Khoi, I. M. Mal'tsev, S. N. Melikhov, Yu. S. Nalbandjan, Yu. A. Ustinov, Ha Huy Bang, V. B. Sherstyukov, “Yuri Fedorovich Korobeinik (on his 90's anniversary)”, Vladikavkaz. Mat. Zh., 22:3 (2020), 151–157
13.
O. A. Ivanova, S. N. Melikhov, “Algebras of analytic functionals and the generalized Duhamel product”, Vladikavkaz. Mat. Zh., 22:3 (2020), 72–84
S. N. Melikhov, “Coefficients of exponential series for analytic functions and the Pommiez operator”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 161 (2019), 65–103; J. Math. Sci. (N. Y.), 257:2 (2021), 206–245
O. A. Ivanova, S. N. Melikhov, “On Multiplication of Distributions Generated by the Pommiez Operator”, Mat. Zametki, 105:4 (2019), 632–636; Math. Notes, 105:4 (2019), 625–629
2018
16.
P. A. Ivanov, S. N. Melikhov, “Pommier Operator in Spaces of Analytic Functions of Several Complex Variables”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 153 (2018), 55–68; J. Math. Sci. (N. Y.), 252:3 (2021), 345–359
O. A. Ivanova, S. N. Melikhov, “The commutant of the Pommiez operator in a space of entire functions of exponential type and polynomial growth on the real line”, Vladikavkaz. Mat. Zh., 20:3 (2018), 48–56
O. A. Ivanova, S. N. Melikhov, “On topological algebras of analytic functionals with a multiplication defined by translations”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 24:3 (2018), 14–22
2017
19.
O. A. Ivanova, S. N. Melikhov, “On invariant subspaces of the Pommiez operator in spaces of entire functions of exponential type”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 142 (2017), 111–120; Journal of Mathematical Sciences, 241:6 (2019), 760–769
O. A. Ivanova, S. N. Melikhov, Yu. N. Melikhov, “On commutant of differentiation and translation operators in weighted spaces of entire functions”, Ufimsk. Mat. Zh., 9:3 (2017), 38–49; Ufa Math. J., 9:3 (2017), 37–47
O. A. Ivanova, S. N. Melikhov, “On operators which commute with the Pommiez type operator in weighted spaces of entire functions”, Algebra i Analiz, 28:2 (2016), 114–137; St. Petersburg Math. J., 28:2 (2017), 209–224
O. A. Ivanova, S. N. Melikhov, “On the orbits of analytic functions with respect to a Pommiez type operator”, Ufimsk. Mat. Zh., 7:4 (2015), 75–79; Ufa Math. J., 7:4 (2015), 71–75
U. V. Barkina, S. N. Melikhov, “On a solution operator for differential equations of infinity order on convex sets”, Vladikavkaz. Mat. Zh., 16:4 (2014), 27–40
V. A. Varziev, S. N. Melikhov, “On coefficients of exponential series for analytic functions of polynomial growth”, Vladikavkaz. Mat. Zh., 13:4 (2011), 18–27
S. N. Melikhov, S. Momm, “On the expansions of analytic functions on convex locally closed sets in exponential series”, Vladikavkaz. Mat. Zh., 13:1 (2011), 44–58
V. A. Varziev, S. N. Melikhov, “On the dual space of the space of analytic functions of polynomial growth near the boundary”, Vladikavkaz. Mat. Zh., 10:4 (2008), 17–22
S. N. Melikhov, Z. Momm, “On the property of the inward continuability of representing systems of exponentials on convex locally closed sets”, Vladikavkaz. Mat. Zh., 10:2 (2008), 36–45
S. N. Melikhov, E. V. Teknechyan, “On the expansion of analytic functions in series in successive derivatives”, Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 2, 75–79; Russian Math. (Iz. VUZ), 47:2 (2003), 74–78
2002
33.
S. N. Melikhov, “On the left inverse to the restriction operator on weighted spaces of entire functions”, Algebra i Analiz, 14:1 (2002), 99–133; St. Petersburg Math. J., 14:1 (2003), 75–99
S. N. Melikhov, “Extension of entire functions of completely regular growth and right inverse to the operator of representation of analytic functions by quasipolynomial series”, Mat. Sb., 191:7 (2000), 105–128; Sb. Math., 191:7 (2000), 1049–1073
S. N. Melikhov, S. Momm, “On the linear inverse from right operator for the convolution operator on the spaces of germs of analytical functions on convex compacts in $\mathbb C$”, Izv. Vyssh. Uchebn. Zaved. Mat., 1997, no. 5, 38–48; Russian Math. (Iz. VUZ), 41:5 (1997), 35–45
S. N. Melikhov, “Series of generalized exponentials for distributions”, Dokl. Akad. Nauk, 347:6 (1996), 739–742
1993
37.
Yu. F. Korobeinik, S. N. Melikhov, “A continuous linear right inverse of the representation operator and applications to the convolution operators”, Sibirsk. Mat. Zh., 34:1 (1993), 70–84; Siberian Math. J., 34:1 (1993), 59–72
Yu. F. Korobeinik, S. N. Melikhov, “A linear continuous right inverse for the representation operator,
and conformal mappings”, Dokl. Akad. Nauk, 323:5 (1992), 826–829; Dokl. Math., 45:2 (1992), 428–431
S. N. Melikhov, “On expansion of analytic functions in exponential series”, Izv. Akad. Nauk SSSR Ser. Mat., 52:5 (1988), 991–1004; Math. USSR-Izv., 33:2 (1989), 317–329
S. N. Melikhov, “Absolutely convergent series in the canonical inductive limits”, Mat. Zametki, 39:6 (1986), 877–886; Math. Notes, 39:6 (1986), 475–480
S. N. Melikhov, “Continuity of matrix operators in the normal and strong topologies”, Izv. Vyssh. Uchebn. Zaved. Mat., 1985, no. 1, 67–69; Soviet Math. (Iz. VUZ), 29:1 (1985), 92–94
2011
43.
A. V. Abanin, Yu. A. Kiryutenko, Yu. F. Korobeinik, A. G. Kusraev, S. N. Melikhov, “Valentin Vasil'evich Napalkov (on his seventieth birthday)”, Vladikavkaz. Mat. Zh., 13:3 (2011), 70–71
2010
44.
O. A. Ivanova, S. N. Melikhov, “Letter to the Editor”, Vladikavkaz. Mat. Zh., 12:4 (2010), 83
Polystellar regions and the Duhamel product S. N. Melikhov International Conference "Theory of Functions, Operator Theory and Quantum Information Theory" June 2, 2023 10:00
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