01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
19.03.1948
E-mail:
Keywords:
extremal problems,
type and indicator of an entire function,
upper (lower) average density of zeros,
completeness of a system of exponentials.
UDC:
517, 517.547.22, 517.946, 517.547.2
Subject:
Differentional operators of infinite orders, theory of growth of convex and entire functions.
Main publications:
1. Tochnye otsenki tipa tseloi funktsii poryadka menshe edinitsy s nulyami na luche zadannykh usrednennykh plotnostei // Doklady RAN, 2012, t. 445, #6, s. 615-617.
2. Vvedenie v teoriyu rosta vypuklykh i tselykh funktsii. M. Prometei, 2005, 232 c.
3. On comparative increase of relations of convex functions and their derivatives // National Academy of sciences of Azerbaijan. Proceedings of institute of mathematics and mechanics, 2002, v. XVII (XXV), Bacu, p. 38-50.
4. Opredelenie indikatora tseloi funktsii drobnogo poryadka po ee koeffitsientam Teilora // Ukrainskii matematicheskii zhurnal, 1993, t.45, # 6, s. 854-858.
5. Primer uravneniya v chastnykh proizvodnykh s postoyannymi koeffitsientami, ne yavlyayuschegosya normalno razreshimym v$\left\{\rho,\sigma\right\}$// Sibirskii matematicheskii zhurnal, 1975, t. XVI, # 3, c. 623-626.
G. G. Braichev, “The Sylvester problem and uniqueness sets in classes of entire functions”, CMFD, 70:1 (2024), 25–37
2.
G. G. Braichev, “On zeros and Taylor coefficients of entire function of logarithmic growth”, Ufimsk. Mat. Zh., 16:2 (2024), 16–26; Ufa Math. J., 16:2 (2024), 15–25
2023
3.
G. G. Braichev, “On the Connection between the Growth of Zeros and the Decrease of Taylor Coefficients of Entire Functions”, Mat. Zametki, 113:1 (2023), 32–45; Math. Notes, 113:1 (2023), 27–38
G. G. Braichev, B. N. Khabibullin, V. B. Sherstyukov, “Sylvester problem, coverings by shifts, and uniqueness theorems for entire functions”, Ufimsk. Mat. Zh., 15:4 (2023), 30–41; Ufa Math. J., 15:4 (2023), 31–41
G. G. Braichev, O. V. Sherstyukova, “On least type of entire function with given subsequence of zeros”, Ufimsk. Mat. Zh., 14:3 (2022), 17–22; Ufa Math. J., 14:3 (2022), 17–21
G. G. Braichev, “Joint estimates for zeros and Taylor coefficients of entire function”, Ufimsk. Mat. Zh., 13:1 (2021), 31–45; Ufa Math. J., 13:1 (2021), 31–45
G. G. Braichev, “On the Lower Indicator of an Entire Function
with Roots of Zero Lower Density Lying on a Ray”, Mat. Zametki, 107:6 (2020), 817–832; Math. Notes, 107:6 (2020), 907–919
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
9.
G. G. Braichev, V. B. Sherstyukov, “Estimates of indicators of an entire function with negative roots”, Vladikavkaz. Mat. Zh., 22:3 (2020), 30–46
G. G. Braichev, V. B. Sherstyukov, “Sharp bounds for asymptotic characteristics of growth of entire functions with zeros on given sets”, Fundam. Prikl. Mat., 22:1 (2018), 51–97; J. Math. Sci., 250:3 (2020), 419–453
G. G. Braichev, “Two-sided estimates for the relative growth of functions and their derivatives”, Ufimsk. Mat. Zh., 9:3 (2017), 18–26; Ufa Math. J., 9:3 (2017), 18–25
G. G. Braichev, “The least type of an entire function whose zeros have prescribed averaged densities and lie on rays or in a sector”, Mat. Sb., 207:2 (2016), 45–80; Sb. Math., 207:2 (2016), 191–225
G. G. Braichev, “Sharp Estimates of Types of Entire Functions with Zeros on Rays”, Mat. Zametki, 97:4 (2015), 503–515; Math. Notes, 97:4 (2015), 510–520
G. G. Braichev, “The exact bounds of lower type magnitude for entire function of order $\rho\in(0,1)$ with zeros of prescribed average densities”, Ufimsk. Mat. Zh., 7:4 (2015), 34–60; Ufa Math. J., 7:4 (2015), 32–57
G. G. Braichev, “Exact relationships between certain characteristics of growth for complex sequences”, Ufimsk. Mat. Zh., 5:4 (2013), 17–30; Ufa Math. J., 5:4 (2013), 16–29
G. G. Braichev, V. B. Sherstyukov, “On the Growth of Entire Functions with Discretely Measurable Zeros”, Mat. Zametki, 91:5 (2012), 674–690; Math. Notes, 91:5 (2012), 630–644
G. G. Braichev, “The least type of an entire function of order $\rho\in(0,1)$ having positive zeros with prescribed averaged densities”, Mat. Sb., 203:7 (2012), 31–56; Sb. Math., 203:7 (2012), 950–975
G. G. Braichev, V. B. Sherstyukov, “On the least possible type of entire functions of order $\rho\in(0,1)$ with positive zeros”, Izv. RAN. Ser. Mat., 75:1 (2011), 3–28; Izv. Math., 75:1 (2011), 1–27
G. G. Braichev, O. V. Sherstjukova, “The Greatest Possible Lower Type of Entire Functions of Order $\rho\in(0;1)$ with Zeros of Fixed $\rho$-Densities”, Mat. Zametki, 90:2 (2011), 199–215; Math. Notes, 90:2 (2011), 189–203
G. G. Braichev, V. V. Morzhakov, “Applicability of partial differential operators of infinite order”, Mat. Zametki, 24:6 (1978), 771–777; Math. Notes, 24:6 (1978), 910–913
1976
25.
G. G. Braichev, “Solvability of partial differential equations of infinite order in certain classes of entire functions”, Mat. Zametki, 19:2 (1976), 225–236; Math. Notes, 19:2 (1976), 135–140
G. G. Braichev, “An example of a partial differential equation with constant coefficients that is not normally solvable in $[\rho,\sigma]$”, Sibirsk. Mat. Zh., 16:3 (1975), 623–626; Siberian Math. J., 16:3 (1975), 480–483
Задача Сильвестра и теоремы единственности в классах целых функций G. G. Braichev 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 17, 2023 16:00
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