01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:
Keywords:
entire function of exponential type, exponential monomial, completeness, uniqueness theorem entire function of exponential type, exponential monomial, fundamental principle, analytic continuation
UDC:
517.5, 517.55
Subject:
Complex Analysis
Main publications:
A. S. Krivosheev, “Fundamentalnyi printsip dlya invariantnykh podprostranstv v vypuklykh oblastyakh”, Izv. RAN. Ser. matem., 68:2 (2004), 71–136
A. S. Krivosheev, O. A. Krivosheeva, “Exceptional sets of entire functions of completely regular growth”, Math. Notes, 116:4 (2024), 651–668
2.
A. S. Krivosheev, O. A. Krivosheeva, “Interpolation and fundamental principle”, Ufa Math. J., 16:3 (2024), 54–64
2023
3.
A. S. Krivosheev, O. A. Krivosheeva, “Domain of Existence of the Sum of a Series of Exponential Monomials”, Math. Notes, 114:4 (2023), 508–521
4.
A. S. Krivosheev, O. A. Krivosheeva, “Exceptional sets”, CMFD, 69, no. 2, PFUR, M., 2023, 289–305
5.
A. S. Krivosheev, O. A. Krivosheeva, “Necessary condition of fundamental principle for invariant subspaces on unbounded convex domain”, Ufa Math. J., 15:3 (2023), 69–79
6.
A. S. Krivosheev, A. I. Rafikov, “A representation of analytic functions in bounded convex domains in the complex plane”, St. Petersburg Math. J., 34:5 (2023), 775–820
2022
7.
A. S. Krivosheev, O. A. Krivosheeva, A. F. Kuzhaev, “A Completeness of a System of Exponential Monomials with Positive Exponents”, Lobachevskii Journal of Mathematics, 43:6 (2022), 1536–1544
A. S. Krivosheev, O. A. Krivosheeva, “Representation of functions on a line by a series of exponential monomials”, Izv. Saratov Univ. Math. Mech. Inform., 22:4 (2022), 416–429
9.
A. S. Krivosheev, O. A. Krivosheeva, “Convergence of series of exponential monomials”, Ufa Math. J., 14:4 (2022), 56–68
2021
10.
O. A. Krivosheeva, A. S. Krivosheev, “An existence domain of the sum of exponential monomials series”, Russian Math. (Iz. VUZ), 65:3 (2021), 51–60
11.
A. S. Krivosheev, O. A. Krivosheeva, “Invariant Spaces of Entire Functions”, Math. Notes, 109:3 (2021), 413–426
12.
A. S. Krivosheev, O. A. Krivosheeva, A. I. Rafikov, “Invariant subspaces in half-plane”, Ufa Math. J., 13:3 (2021), 57–79
13.
A. S. Krivosheev, O. A. Krivosheeva, A. F. Kuzhaev, “The Representation by Series of Exponential Monomials of Functions From Weight Subspaces on a Line”, Lobachevskii Journal of Mathematics, 42:6 (2021), 1183–1200
A. S. Krivosheev, O. A. Krivosheeva, “The distribution of singular points of the sum of a series of exponential monomials on the boundary of its domain of convergence”, Sb. Math., 211:1 (2020), 55–114
16.
A. S. Krivosheev, O. A. Krivosheeva, “Invariant subspaces in half-plane”, Ufa Math. J., 12:3 (2020), 30–43
2019
17.
O. A. Krivosheeva, A. S. Krivosheev, A. I. Rafikov, “Lower bounds for entire functions”, Ufa Math. J., 11:3 (2019), 44–60
18.
A. S. Krivosheev, O. A. Krivosheeva, “Representation of Analytic Functions by Series of Exponential Monomials in Convex Domains and Its Applications”, Lobachevskii Journal of Mathematics, 40:9 (2019), 1330–1354
O. A. Krivosheeva, A. S. Krivosheev, “Singular points for the sum of a series of exponential monomials”, Probl. anal. Issues Anal., 7(25):spetsvypusk (2018), 72–87
O. A. Krivosheyeva, A. S. Krivosheyev, “A representation of functions from an invariant subspace with almost real spectrum”, St. Petersburg Math. J., 29:4 (2018), 603–641
2017
21.
A. S. Krivosheev, A. F. Kuzhaev, “On one Leontiev-Levin theorem”, Ufa Math. J., 9:3 (2017), 87–99
22.
A. I. Abdulnagimov, A. S. Krivosheyev, “Properly distributed subsets in complex plane”, St. Petersburg Math. J., 28:4 (2017), 433–464
2016
23.
A. S. Krivosheev, O. A. Krivosheeva, “Fundamental Principle and a Basis in Invariant Subspaces”, Math. Notes, 99:5 (2016), 685–696
24.
A. I. Abdulnagimov, A. S. Krivoshyev, “Representation of analytic functions”, Ufa Math. J., 8:4 (2016), 3–23
25.
A. S. Krivosheev, O. A. Krivosheyeva, “A basis in invariant subspace of entire functions”, St. Petersburg Math. J., 27:2 (2016), 273–316
2015
26.
O. A. Krivosheeva, A. S. Krivosheev, “Singular points of the sum of a Dirichlet series on the convergence line”, Funct. Anal. Appl., 49:2 (2015), 122–134
27.
A. I. Abdulnagimov, A. S. Krivoshyev, “Properly distributed subsequence on the line”, Ufa Math. J., 7:1 (2015), 3–12
2013
28.
A. S. Krivosheev, O. A. Krivosheeva, “A basis in an invariant subspace of analytic functions”, Sb. Math., 204:12 (2013), 1745–1796
29.
A. S. Krivosheyev, O. A. Krivosheyeva, “A closedness of set of Dirichlet series sums”, Ufa Math. J., 5:3 (2013), 94–117
2012
30.
O. A. Krivosheeva, A. S. Krivosheev, “A Criterion for the Fundamental Principle to Hold for Invariant Subspaces on Bounded Convex Domains in the Complex Plane”, Funct. Anal. Appl., 46:4 (2012), 249–261
31.
A. S. Krivosheyev, “An almost exponential sequence of exponential polynomials”, Ufimsk. Mat. Zh., 4:1 (2012), 88–106
2011
32.
A. S. Krivosheev, “Criterion of analytic continuability of functions in principal invariant subspaces on convex domains in $\mathbb C^n$”, St. Petersburg Math. J., 22:4 (2011), 615–655
2010
33.
O. A. Krivosheyeva, A. S. Krivosheyev, “The fundamental principle for invariant subspaces”, Ufimsk. Mat. Zh., 2:4 (2010), 58–73
34.
A. S. Krivosheyev, “Basis is broken by relatively small groups”, Ufimsk. Mat. Zh., 2:2 (2010), 67–89
35.
A. S. Krivosheyev, “An almost exponential basis”, Ufimsk. Mat. Zh., 2:1 (2010), 87–96
2009
36.
A. S. Krivosheyev, “The invariant subspaces in convex domains in $\mathbb C^n$”, Ufimsk. Mat. Zh., 1:3 (2009), 65–86
37.
A. S. Krivosheyev, “The invariant subspaces in convex domains in $\mathbb C^n$”, Ufimsk. Mat. Zh., 1:2 (2009), 53–74
2006
38.
A. S. Krivosheev, “Continuation of Functions From Principal Invariant Subspaces”, Doklady Mathematics, 74:2 (2006), 728–730
2005
39.
A. S. Krivosheev, “Bases in Invariant Subspaces”, Doklady Mathematics, 72:1 (2005), 543–546
2004
40.
A. S. Krivosheev, “A fundamental principle for invariant subspaces in convex domains”, Izv. Math., 68:2 (2004), 291–353
41.
A. S. Krivosheev, “A criterion for analytic continuation of functions from invariant subspaces in convex domains of the complex plane”, Izv. Math., 68:1 (2004), 43–76
42.
A. S. Krivosheev, S. N. Gantsev, “Solvability of systems of nonhomogeneous convolution equations in convex domains in $\mathbb C^1$”, St. Petersburg Math. J., 15:6 (2004), 847–865
2002
43.
A. S. Krivosheev, S. N. Gantsev, “On generators in ideals of entire functions of finite order and type on the plane”, Siberian Math. J., 43:5 (2002), 843–857
2001
44.
A. S. Krivosheev, “Interpolation with estimates in $\mathbb C^n$ and its applications”, Sb. Math., 192:9 (2001), 1297–1340
2000
45.
A. S. Krivosheev, “Regular growth of systems of functions and systems of non-homogeneous convolution equations in convex domains of the complex plane”, Izv. Math., 64:5 (2000), 939–1001
1999
46.
A. S. Krivosheev, “A criterion for the uniqueness of supports of analytic functionals in the class of $n$-circular convex compact sets”, Izv. Math., 63:2 (1999), 331–366
1998
47.
A. S. Krivosheev, “Analytic continuation of functions from invariant subspaces in convex domains of the complex space”, Izv. Math., 62:2 (1998), 287–312
1995
48.
A. S. Krivosheev, “Interpolation in spaces of entire functions of given growth and its application”, Dokl. Akad. Nauk, 340:6 (1995), 743–744
49.
A. S. Krivosheev, “The Schauder basis in the solution space of a homogeneous convolution equation”, Math. Notes, 57:1 (1995), 41–50
50.
A. S. Krivosheev, “Representation of solutions of a nomegeneous convolution equation in convex domains of the space $C^n$”, Russian Acad. Sci. Izv. Math., 44:1 (1995), 69–89
1994
51.
A. S. Krivosheev, “Systems of convolution equations in convex domains of $\mathbb{C}^n$”, Dokl. Math., 48:2 (1994), 304–307
52.
A. S. Krivosheev, “On indicators of entire functions and extension of solutions of a homogeneous convolution equation”, Russian Acad. Sci. Sb. Math., 79:2 (1994), 401–423
1992
53.
A. S. Krivosheev, V. V. Napalkov, “Complex analysis and convolution operators”, Russian Math. Surveys, 47:6 (1992), 1–56
54.
A. S. Krivosheev, “On the uniqueness of supports of analytic functionals”, Math. USSR-Izv., 39:3 (1992), 1129–1149
1991
55.
A. S. Krivosheev, “A criterion for the solvability of nonhomogeneous convolution equations in convex domains of the space $\mathbf C^n$”, Math. USSR-Izv., 36:3 (1991), 497–517
2024
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