5387250

506674686

[email protected]

[email protected]

Department of Mathematics, Khazar University, Head of the department;
Institute of Mathematics and Mechanics, Department of Non-harmonic Analysis

Investigation of basis properties of root functions and regularized traces of  Sturm-Liouville boundary value problems with discontinuity point and spectral parameter dependent  boundary conditions; Closeness theorems for the basisity of some non-harmonic systems; Investigation of the best uniform approximation by sum of two algebras and  Chebyshev-type alternation theorems

1. A.K. Asgarova, A.A. Huseynli, V.E. Ismailov, A Chebyshev-type alternation theorem for best approximation by a sum of two algebras, Proceedings of the Edinburgh Mathematical Society 66 (4), 971-978

2. B.T. Bilalov, A.A. Huseynli, Z.A. Kasumov, Basis Properties Of The System Of Exponentials In Weighted Morrey Spaces, ANAS Reports, vol. 75, number 1, 2019

3. B.T. Bilalov, A.A. Huseynli, S.R. El- Shabrawy, Basis properties of trigonometric systems in weighted Morrey spaces, Azerbaijan Journal of Mathematics, V. 9, No 2, 2019

4. A.A.Hüseynli, A.Mirzəbalayeva, Lp; r spaces: Cauchy Singular Integral, Hardy Classes and Riemann-Hilbert Problem in this Framework, Sahand Communications in Mathematical Analysis (SCMA), Vol.16, number 1, 2019, pp.83-91

5. Huseynli A.A., Mirzoyev V.S., Quliyeva A.A. On Basicity of the Perturbed System of Exponents in Morrey-Lebesgue Space. AzJM, vol 7, No 2, 2017, p. 197-216

6. Bilalov B.T., Huseynli A.A., Aleskerov M.I. On the basicity of unitary system of exponents in the variable exponent Lebesgue spaces. Transactions of NAS of Azerbaijan, Issue Mathematics, vol. XXXVII, No 1, 1-14, 2017

7. Bilalov B.T., Huseynli A.A., Seyidova F.Sh. Riemann boundary value problems in generalized weighted Hardy spaces, Proceedings of the Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. Volume 43, Number 2, 2017, pp. 240–251

8. Т.Б Касумов, А.А Гусейнли, О полноте собственных и присоединенных функций одного разрывного дифференциального оператора второго порядка, Докл. НАН Азерб. 68 (1), 3-7

9. T.B. Gasymov, A.A. Huseynli, Asymptotics of eigenvalues and eigenfunctions of a discontinuous boundary value problem, Proceeding of IMM of NAS of Azerbaijan, 2011, vol.XXXV(LXIII), pp. 21-32.

10. T.B. Gasymov, A.A. Huseynli, Asymptotics of eigenvalues and eigenfunctions of a discontinuous boundary value problem, Proc. Inst. Math. Mech. Natl. Acad. Sci. Azerb. 35, 21-32

11.  T.B. Gasymov, A.A. Huseynli, On the completeness of the eigen and associated functions of a second order discontinuous differential, Transactions of NAS of Azerbaijan, Issue Mathematics, vol.LXVIII, 2012, №1, pp. 3-7.

12. A.A. Huseynli, On the stability of basisness in L_p, p>1 of cosines and sines, Turkish journal of Mathematics, 35 (2011), p. 47-54.
13. A.A. Huseynli, Some properties of defect bases and bases of subspaces. Trans. NAS of Azerb. XXVIII, №1, 2008, pp. 55-62.

14. A.A. Huseynli, Basis properties of some systems in Banach spaces. Trans. NAS of Azerb. XXVII, №4, 2007 pp. 43-46.

Department of Mathematics, Khazar University