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
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
2019
2.
S. N. Melikhov, “Coefficients of exponential series for analytic functions and the Pommiez operator”, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 161 (2019), 65–103
3.
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
4.
P. A. Ivanov, S. N. Melikhov, “Pommier Operator in Spaces of Analytic Functions of Several Complex Variables”, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 153 (2018), 55–68
5.
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
6.
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
7.
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. Ser. Sovrem. Mat. Pril. Temat. Obz., 142 (2017), 111–120; Journal of Mathematical Sciences, 241:6 (2019), 760–769
8.
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
2016
9.
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
10.
O. A. Ivanova, S. N. Melikhov, “On an algebra of analytic functionals connected with a Pommiez operator”, Vladikavkaz. Mat. Zh., 18:4 (2016), 34–40
2015
11.
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
12.
S. N. Melikhov, “A remark on absolutely convergent series in spaces of germs of analytic functions”, Vladikavkaz. Mat. Zh., 17:3 (2015), 53–55
2014
13.
O. A. Ivanova, S. N. Melikhov, “On A. F. Leont'ev's interpolating function”, Ufimsk. Mat. Zh., 6:3 (2014), 17–27; Ufa Math. J., 6:3 (2014), 17–27
14.
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
2011
15.
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
16.
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
2010
17.
O. A. Ivanova, S. N. Melikhov, “On the right inverse operators which are defined by Eidelheit sequences”, Vladikavkaz. Mat. Zh., 12:2 (2010), 24–30
2008
18.
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
19.
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
2003
20.
S. N. Melikhov, E. V. Teknechyan, “On the expansion of analytic functions in series in successive derivatives”, Izv. Vyssh. Uchebn. Zaved. Mat., 2003, 2, 75–79; Russian Math. (Iz. VUZ), 47:2 (2003), 74–78
2002
21.
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
2000
22.
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
1997
23.
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, 5, 38–48; Russian Math. (Iz. VUZ), 41:5 (1997), 35–45
1996
24.
S. N. Melikhov, “Series of generalized exponentials for distributions”, Dokl. Akad. Nauk, 347:6 (1996), 739–742
1993
25.
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
1992
26.
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
1990
27.
S. N. Melikhov, “Nontrivial decompositions of zero and representative subspaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 1990, 8, 53–65; Soviet Math. (Iz. VUZ), 34:8 (1990), 60–71
1988
28.
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
1986
29.
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
1985
30.
S. N. Melikhov, “Continuity of matrix operators in the normal and strong topologies”, Izv. Vyssh. Uchebn. Zaved. Mat., 1985, 1, 67–69; Soviet Math. (Iz. VUZ), 29:1 (1985), 92–94
2011
31.
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
32.
O. A. Ivanova, S. N. Melikhov, “Letter to the Editor”, Vladikavkaz. Mat. Zh., 12:4 (2010), 83
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