Аннотация:
Рассматриваются системы экспонент, косинусов и синусов с комплекснозначными коэффициентами. Установлено необходимое и достаточное условие полноты и минимальности этих систем в лебеговых пространствах.
Образец цитирования:
Б. Т. Билалов, “Базисные свойства некоторых систем экспонент, косинусов и синусов”, Сиб. матем. журн., 45:2 (2004), 264–273; Siberian Math. J., 45:2 (2004), 214–221
B. T. Bilalov, S. R. Sadigova, V. G. Alili, “The Method of Boundary Value Problems in the Study of the Basis Properties of Perturbed System of Exponents in Banach Function Spaces”, Comput. Methods Funct. Theory, 24:1 (2024), 101
Bilalov B. Muradov T. Seyidova F., “on Basicity of Perturbed Exponential System With Piecewise Linear Phase in Morrey-Type Spaces”, Afr. Mat., 32:1-2 (2021), 151–166
F. Seyidova, “On the completeness and minimality of double and unitary systems in Morrey-type spaces”, Eurasian Math. J., 12:2 (2021), 74–81
Asadzadeh J.A. Jabrailova A.N., “On Stability of Bases From Perturbed Exponential Systems in Orlicz Spaces”, Azerbaijan J. Math., 11:2 (2021), 196–213
Bilalov B. Guliyeva A. Sadigova S., “On Riemann Problem in Weighted Smirnov Classes With General Weight”, Acta Comment. Univ. Tartu. Math., 25:1 (2021), 33–56
Sadigova S.R., “On Riemann Problem in Weighted Smirnov Classes With Power Weight”, Rocky Mt. J. Math., 51:3 (2021), 1007–1026
М. И. Исмаилов, “О разрешимости задач Римана в классах гранд-Харди”, Матем. заметки, 108:4 (2020), 529–546; M. I. Ismailov, “On the Solvability of Riemann Problems in Grand Hardy Classes”, Math. Notes, 108:4 (2020), 523–537
Seyidova F., “on the Basicity of Systems of Sines and Cosines With a Linear Phase in Morrey-Type Spaces”, Sahand Commun. Math. Anal., 17:4 (2020), 85–93
Guliyeva F., “on Stability of Bases Made From Perturbed Exponential Systems in Morrey Type Spaces”, Int. J. Educ. Inf. Technol., 14 (2020), 62–68
Sadigova S.R., “on the Particular Solution of the Nonhomogeneous Riemann Problem in the Weighted Smirnov Classes With the General Weight”, Proc. Inst. Math. Mech., 46:2 (2020), 272–283
Zeren Yu., Ismailov M., Sirin F., “on Basicity of the System of Eigenfunctions of One Discontinuous Spectral Problem For Second Order Differential Equation For Grand-Lebesgue Space”, Turk. J. Math., 44:5 (2020), 1595–1611
Bilal BİLALOV, Sabina SADİGOVA, Aysel GULİYEVA, “Double bases from generalized Faber polynomials with complex-valued coefficients in weighted Lebesgue spaces”, Hacettepe Journal of Mathematics and Statistics, 2020, 1
Fatima Guliyeva, “Relationship Between an Atomic Decomposition of Double and Unary Systems in Grand-Lebesgue Spaces”, WSEAS TRANSACTIONS ON MATHEMATICS, 19 (2020), 50
Б. Т. Билалов, “О базисности возмущенной системы экспонент в пространствах типа Морри”, Сиб. матем. журн., 60:2 (2019), 323–350; B. T. Bilalov, “The basis property of a perturbed system of exponentials in Morrey-type spaces”, Siberian Math. J., 60:2 (2019), 249–271
Sadigova S.R., “the General Solution of the Homogeneous Riemann Problem in Weighted Smirnov Classes With General Weight”, Azerbaijan J. Math., 9:2 (2019), 100–113
Bilalov B.T., Huseynli A.A., El-Shabrawy S.R., “Basis Properties of Trigonometric Systems in Weighted Morrey Spaces”, Azerbaijan J. Math., 9:2 (2019), 166–192
Bilalov B. Seyidova F., “Basicity of a System of Exponents With a Piecewise Linear Phase in Morrey-Type Spaces”, Turk. J. Math., 43:4 (2019), 1850–1866
Sadigova S.R. Guliyeva A.E., “On the Solvability of Riemann-Hilbert Problem in the Weighted Smirnov Classes”, Anal. Math., 44:4 (2018), 587–603
Bilalov B.T., Sadigova S.R., “Frame Properties of a Part of An Exponential System With Degenerate Coefficients in Hardy Classes”, Georgian Math. J., 24:3 (2017), 325–338
Huseynli A.A. Mirzoyev V.S. Quliyeva A.A., “On Basicity of the Perturbed System of Exponents in Morrey-Lebesgue Space”, Azerbaijan J. Math., 7:2 (2017), 197–216