Abstract:
Under study is the basis property in L2L2 of a system of Kostyuchenko type. In particular, some criterion is established for the basis property of the Kostyuchenko system under the natural constraints on a parameter in this system.
\Bibitem{Bil12}
\by B.~T.~Bilalov
\paper On solution of the Kostyuchenko problem
\jour Sibirsk. Mat. Zh.
\yr 2012
\vol 53
\issue 3
\pages 509--526
\mathnet{http://mi.mathnet.ru/smj2342}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2978571}
\transl
\jour Siberian Math. J.
\yr 2012
\vol 53
\issue 3
\pages 404--418
\crossref{https://doi.org/10.1134/S003744661202022X}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84863184717}
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This publication is cited in the following 13 articles:
F. Seyidova, “On the completeness and minimality of double and unitary systems in Morrey-type spaces”, Eurasian Math. J., 12:2 (2021), 74–81
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
Bilalov B.T. Sadigova S.R. Alili V.G., “On Solvability of Riemann Problems in Banach Hardy Classes”, Filomat, 35:10 (2021), 3331–3352
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
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
Fatima Guliyeva, “Relationship Between an Atomic Decomposition of Double and Unary Systems in Grand-Lebesgue Spaces”, WSEAS TRANSACTIONS ON MATHEMATICS, 19 (2020), 50
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
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
A. A. Huseynli, V. S. Mirzoyev, A. A. Quliyeva, “On basicity of the perturbed system of exponents in Morrey–Lebesgue space”, Azerbaijan J. Math., 7:2 (2017), 197–216
B. T. Bilalov, A. A. Huseynli, F. Sh. Seyidova, “Riemann boundary value problems in generalized weighted Hardy spaces”, Proc. Inst. Math. Mech., 43:2 (2017), 240–251
L. V. Kritskov, “Necessary condition for the uniform minimality of Kostyuchenko type systems”, Azerbaijan J. Math., 5:1 (2015), 97–103
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