01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:
Main publications:
L. D. Gogoladze, “K voprosu $A^*$-summiruemosti dvoinykh trigonometricheskikh ryadov Fure”, Matem. zametki, 11:2 (1972), 145–150
L. D. Gogoladze, “O $(H,k)$-summiruemosti kratnykh trigonometricheskikh ryadov”, Izv. AN SSSR, 41:4 (1977), 937–958
L. D. Gogoladze, “On a problem of L. Leindler concerning strong approximation by Fourier series and Lipschitz classes”, Analysis Math., 9:3 (1983), 169–175
L. D. Gogoladze, “Ob ogranichennosti skhodyaschikhsya srednikh kratnykh funktsionalnykh ryadov”, Matem. zametki, 34:6 (1983), 845–855
L. D. Gogoladze, “O suschestvovanii sopryazhennykh funktsii mnogikh peremennykh”, Matem. sb., 125 (1984), 481–488
L. D. Gogoladze, “O silnoi summiruemosti pochti vsyudu”, Matem. sb., 135:2 (1988), 158–168
L. D. Gogoladze, V. Sh. Tsagareishvili, “Absolyutnaya skhodimost ryadov Fure–Khaara funktsii dvukh peremennykh”, Izv. vuzov. Matem., 2008, № 5, 14–25
L. D. Gogoladze, “K voprosu o vosstanovlenii koeffitsientov skhodyaschikhsya srednikh kratnykh funktsionalnikh ryadov”, Izv. RAN. Ser. matem., 72:2 (2008), 83–90
L. D. Gogoladzhe, V. Tsagareishvili, “On the absolute convergence of double trigonometrical series”, East J. Approx. (to appear)
L. Gogoladze, V. Tsagareishvili, “Unconditional Convergence of General Fourier Series”, Trudy Mat. Inst. Steklova, 319 (2022), 83–93; Proc. Steklov Inst. Math., 319 (2022), 74–84
L. D. Gogoladze, G. Cagareishvili, “General Fourier coefficients and convergence almost everywhere”, Izv. RAN. Ser. Mat., 85:2 (2021), 60–72; Izv. Math., 85:2 (2021), 228–240
L. D. Gogoladze, V. Sh. Tsagareishvili, “Unconditional convergence of Fourier series for functions of bounded variation”, Sibirsk. Mat. Zh., 59:1 (2018), 86–94; Siberian Math. J., 59:1 (2018), 65–72
L. D. Gogoladze, V. Sh. Tsagareishvili, “Convergence of Fourier Series with Respect to General Orthonormal Systems”, Mat. Zametki, 99:4 (2016), 618–622; Math. Notes, 99:4 (2016), 603–607
L. D. Gogoladze, V. Sh. Tsagareishvili, “On the Fourier coefficients of functions of bounded variation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 8, 14–23; Russian Math. (Iz. VUZ), 57:8 (2013), 10–19
8.
L. Gogoladze, V. Tsagareishvili, “Some classes of functions and Fourier coefficients with respect to general orthonormal systems”, Trudy Mat. Inst. Steklova, 280 (2013), 162–174; Proc. Steklov Inst. Math., 280 (2013), 156–168
L. D. Gogoladze, V. Sh. Tsagareishvili, “On the Partial Sums of the Fourier Series of Functions of Bounded Variation”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 154:3 (2012), 121–128
2008
11.
L. D. Gogoladze, “On the problem of reconstructing the coefficients of convergent multiple function series”, Izv. RAN. Ser. Mat., 72:2 (2008), 83–90; Izv. Math., 72:2 (2008), 283–290
L. D. Gogoladze, V. Sh. Tsagareishvili, “Absolute convergence of Fourier–Haar series of functions of two variables”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 5, 14–25; Russian Math. (Iz. VUZ), 52:5 (2008), 9–19
L. D. Gogoladze, “On the approximation of functions of several variables by linear means”, Trudy Mat. Inst. Steklov., 180 (1987), 92–93; Proc. Steklov Inst. Math., 180 (1989), 105–106
L. D. Gogoladze, “On the existence of conjugate functions of several variables”, Mat. Sb. (N.S.), 125(167):4(12) (1984), 481–488; Math. USSR-Sb., 53:2 (1986), 481–488
L. D. Gogoladze, “On $(H,k)$-summability of multiple trigonometric Fourier series”, Izv. Akad. Nauk SSSR Ser. Mat., 41:4 (1977), 937–958; Math. USSR-Izv., 11:4 (1977), 889–908
L. D. Gogoladze, “The question of $A^*$-summability of double trigonometric Fourier series”, Mat. Zametki, 11:2 (1972), 145–150; Math. Notes, 11:2 (1972), 93–96
Contact us: