Armen Jerbashian's Publications (Full profile)

Book

  1. A.M. Jerbashian, J.E. Restrepo, Functions of omega-bounded type, basic theory, Birkhauser, Frontiers in Mathematics, (2024)
  2. A. M. Jerbashian, Functions of $\alpha$-Bounded Type in the Half-Plane, Springer, Advances in Complex Analysis and Applications, Hardcover ISBN 0-387-23625-22005, 4, pp. 212, (2005)

Paper

  1. A.M. Jerbashian, S.G. Rafayelyan, J.E. Restrepo, , Some aspects of the contribution of Mkhitar Djrbashian to fractional calculus, Fractional Calculus & Applied Analysis, 27, (3), pp. 971 - 986, (2024)
  2. A. M. Jerbashian, J. Pejendino, Banach spaces of functions delta-subharmonic in the unit disc, New General Trends and Advances of the Theory, pp. 259-277, (2021)
  3. A. M. Jerbashian, D. F. Vargas, Banach spaces of functions delta-subharmonic in the half-plane, New General Trends and Advances of the Theory, 1, pp. 279-296, (2021)
  4. A. M. Jerbashian, J. Pejendino, On Dirichlet type spaces A^2_\omega over the half-plane, J. of Contemp. Math. Analysis, 53, pp. 213-223, (2018)
  5. 49. A. M. Jerbashian, D. F. Vargas, Orthogonal decompostion in omega-weighted classes of functions subharmonic in the half-plane, Revista Colombiana de Matematicas, 52, pp. 33-40, (2018)
  6. A.M. Jerbashian, J.E. Restrepo, P. Agarwal, Weighted integral inequalities in terms of omega-fractional integro-differentiation, Advances in Mathematical Inequalities and Applications, Trends in Mathematics, pp. 199-217, (2018)
  7. A.M. Jerbashian, J.E. Restrepo, P. Agarwal, On some subclasses of hypergeometric functions with Djrbashian Cauchy type kernel, J. Nonlinear Sci. Appl., 10, pp. 2340–2349 , (2017)
  8. A.M. Jerbashian, J.E. Restrepo, A Boundary property of some subclasses of functions of bounded type in the half-plane, Fractional Calculus and Applied Analysis , 20, pp. 1531-1544, (2017)
  9. A.M. Jerbashian, J.E. Restrepo, On some classes of harmonic functions with nonnegative harmonic majorants in the half-plane, J. of Contemp. Math. Analysis, 51, pp. 51-61, (2016)
  10. A.M. Jerbashian , On boundary properties and biorthogonal systems in the spaces A^2_\omega\subset H^2, Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 49, pp. 17-22, (2014)
  11. A.M. Jerbashian, J.E. Restrepo, Riesz type minimal omega-representations in the half-plane, Journal of Mathematical Sciences: Advances and Applications, 17, pp. 1-37, (2012)
  12. A.M. Jerbashian , Biorthogonal systems of functions in the spaces A2 over the half-plane, [in Russian] Dokladi Nacionalnoi Acad. Nauk Armenii, vol. 110, no. 3, pp. 203-209, 2010., 110, (3), pp. 203-209, (2010)
  13. A. M. Jerbashian, V. S. Zakaryan, The contemporary development of M.M.Djrbashian factorization theory and related problems of analysis, Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 44, (6), pp. 341-381, (2009)
  14. A. M. Jerbashian, Orthogonal decomposition of functions subharmonic in the unit disc, in: Operator Theory: Advances and Applications, Birkhauser Verlag, Base/Switserland , 190, pp. 335-340, (2009)
  15. A. M. Jerbashian, On sqare summable Nevanlinna-Djrbashian classes, National AC of Sci. of Armenia Reports, 108, (3), pp. 210-214, (2008)
  16. A. M. Jerbashian, S. G. Rafayelyan, On unitary operators in weighted spaces $A^2_\omega(\mathbb{C})$ of entire functions, Methods of Functional Analysis and Topology, 14, pp. 380-385, (2008)
  17. A. M. Jerbashian and V. A. Jerbashian, A projection theorem for the spaces $A^p_\omega$ in the half-plane, National AC of Sci. of Armenia Reports, 107, (1), pp. 5-12, (2007)
  18. A. M. Jerbashian, V. A. Jerbashian, Functions of $\omega$-bounded type in the half-plane, CMFT: Computational Methods and Function Theory, 7, (2), pp. 205-238, (2007)
  19. A. M. Jerbashian, On functions of $\omega$-bounded type in the half-plane, [in Russian], National Ac. of Sci. of Armenia Reports, 105, (2), pp. 101-110, (2005)
  20. A. M. Jerbashian, On $A^p_{\omega,\gamma}$ spaces in the half-plane, in: Operator Theory: Advances and Applications, Birkhauser Verlag Basel/Switserland, 158, pp. 141-158, (2005)
  21. A. M. Jerbashian, On the theory of weighted classes of area integrable regular functions, Complex Variables, 50, (3), pp. 155-183, (2005)
  22. A. M. Jerbashian, Evaluation of M.M.Djrbashian $\omega$-kernels, Archives of Inequalities and Applications, 1, pp. 399-422, (2003)
  23. A. M. Jerbashian, K. L. Avetisyan, On the general theory of classes of regular functions weighted integrable over the unit disc, [in Russian], National Ac. of Sci. of Armenia Reports, 102, (2), pp. 105-112, (2002)
  24. A. M. Jerbashian, On weighted spaces of entire functions summable over the complex plane, [in Russian], National Ac. of Sci. of Armenia Reports, 103, (3), pp. 210-215, (2002)
  25. A. M. Jerbashian, Weighted classes of regular functions associated with fractional integro-differentiation, Reference by the Author to Thesis for Doctor of Physical-Mathematical Sciences degree, Yerevan, 28p, (2001)
  26. A. M. Jerbashian, On a Hausdorff moment problem, J. of Contemp. Math. Analysis, 34, (4), pp. 74-76, (1999)
  27. A. M. Jerbashian, On embedding of Nevanlinna type classes $N_\omega$, Izv. Ac. of Sci. of Russia, 63, (4), pp. 59-78, (1999)
  28. A. M. Jerbashian, On a problem of M. M. Djrbashian, Bulletin of Iranian Math. Soc. , 25, (2), pp. 59-71, (1999)
  29. A. M. Jerbashian, An extension of the factorization theory of M. M. Djrbashian, J. of Contemp. Math. Analysis, 30, (2), pp. 39-61, (1995)
  30. A. M. Jerbashian, ``An extension of the factorization theory of M.M.Djrbashian, in Theory of Functions and Appl. , Coll. of works dedicated to the memory of M. M. Djrbashian, ``Louys", Yerevan, pp. 65-74, (1995)
  31. A. M. Jerbashian, On some general classes of subharmonic functions, J. of Contemp. Math. Analysis (Armenian Academy of Sciences), 29, (1), pp. 29-42, (1994)
  32. A. M. Jerbashian, On some classes of subharmonic functions which have nonnegative harmonic majorants in a half-plane, J. of Contemp. Math. Analysis (Armenian Academy of Sciences), 28, (4), pp. 35-51, (1993)
  33. A. M. Jerbashian, G. M. Gubreev, Functions of generalized bounded type in spectral theory of non-weak contractions, Rev. Romanie de Math. Pures et Appl. , 36, pp. 147-154, (1991)
  34. A. M. Jerbashian, On functions of bounded and generalized bounded type in the half-Plane, Rev. Romanie de Math. Pures et Appl. , Nos. 7-8, 36, pp. 425-432, (1991)
  35. A. M. Jerbashian, G. M. Gubreev, Functions of generalized bounded type in spectral theory of non-weak contractions, J. of Operator Theory, 26, pp. 1-36, (1991)
  36. A. M. Jerbashian, On boundary behavior of functions of generalized bounded type, J. of Contemp. Math. Analysis (Armenian Academy of Sciences), 26, (3), pp. 187-209, (1991)
  37. A. M. Jerbashian, G. V. Mikaelian, On the boundary behavior of Blaschke type Functions, J. of Contemp. Math. Analysis (Armenian Academy of Sciences), 26, (5), pp. 435-442, (1991)
  38. A. M. Jerbashian, On uniform approximation of functions of functions of generalized bounded type in the half-plane and an analogue of Akutovicz's theorem, J. of Contemp. Math. Analysis (Armenian Academy of Sciences), 25, (3), pp. 293-302, (1990)
  39. A. M. Jerbashian, Herglotz--Riesz type theorems, [in Russian], Matem. Zametki, 45, (4), pp. 19-26, (1989)
  40. A. M. Jerbashian, On a representation of Blaschke type products for the half-plane, J. of Contemp. Math. Analysis (Armenian Academy of Sciences), 24, (5), pp. 466-479, (1989)
  41. A. M. Jerbashian, Classes of functions of bounded type in the half-plane, a uniqueness theorem and a Phragmen-Lindelof type theorem, J. of Contemp. Math. Analysis (Armenian Academy of Sciences), 23, (4), pp. 398-401, (1988)
  42. A. M. Jerbashian, Parametric representations of classes of meromorphic functions with unbounded Tsuji characteristics, J. of Contemp. Math. Analysis (Armenian Academy of Sciences), 22, (5), pp. 451-477, (1987)
  43. A. M. Jerbashian, G. V. Mikaelian, The asymptotic behavior of Blaschke type functions for the half-plane, J. of Contemp. Math. Analysis (Armenian Academy of Sciences)], 21, (2), pp. 142-146, (1986)
  44. A. M. Jerbashian, Equilibrium relations and factorization theorems for functions meromorphic in a half-plane, J. of Contemp. Math. Analysis (Armenian Academy of Sciences), 21, (3), pp. 213-279, (1986)
  45. A. M. Jerbashian, Blaschke type functions for the half-plane, J. of Contemp. Math. Analysis (Armenian Academy of Sciences)], 18, (6), pp. 409-440, (1983)
  46. A. M. Dzrbasjan [Jerbashian], Factorization of some general classes of functions meromorphic in a half-plane, Soviet Math. Dokl. , 23, (2), pp. 215-219, (1981)
  47. A. M. Dzrbasjan [Jerbashian], Factorization of analytic functions of arbitrary finite order in a half-plane, Soviet Math. Dokl. , 23, (2), pp. 289-292, (1981)
  48. A. M. Dzrbasjan [Jerbashian], Generalization of the formulas of R. and F. Nevanlinna and Carleman, Soviet Math. Dokl. , 21, (1), pp. 248-251, (1980)
  49. A. M. Jerbashian, G. V. Mikaelian, Construction and main properties of a family of Blaschke type functions for the half-plane, Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 15, (6), pp. 461-474, (1980)
  50. A. M. Jerbashian, Factorization of some general classes of functions meromorphic in a half-plane, in: Colloquia Mathematica Soc. Janos Bolyai, Functions, Series, Operators, Budapest, (35), pp. 423-429, (1980)
  51. A. M. Dzrbasjan [Jerbashian], Blaschke type functions for the half-plane, Soviet Math. Dokl., 20, (3), pp. 607-610, (1979)
  52. A. M. Dzrbasjan [Jerbashian], Multiple interpolation in the $H^p$ classes, $0 < p \leq \infty$, Soviet Math. Dokl., 18, (3), pp. 837-841, (1977)

Conference Paper

  1. A.M. Jerbashian , Isometry theorems for omega-weighted Hardy type spaces, Conference on Analysis, PDEs, and Applications, (2024)
  2. A.M. Jerbashian , Biortogonal systems, bases and interpolation by Mittag-Leffler functions in spaces A^2_\omega(C), International Conference on Algebra, Logic, and Their Applications, pp. 60, (2024)
  3. A.M. Jerbashian , On the theory of functions of omega-bounded type, 2-nd Russian-Armenian Conference on Analysis and Differential Equations, pp. 16, (2024)
  4. A.M. Jerbashian , On the theory of functions of omega-bounded type, International biweekly online seminar on analysis, differential equations and mathematical physics, (2023)
  5. A.M. Jerbashian , Banach spaces of delta-subharmonic functions, https://www.youtube.com/watch?v=3TszHc_yRww, (2023)
  6. A.M. Jerbashian , Biorthogonal systems and interpolation in spaces A^2_\omega\subset H^2 over the upper half-plane., In: Analytic Methods of Analysis and Differential Equations, AMADE 2009, pp. 25-30, (2012)
  7. A. M. Jerbashian, Functions of $\omega$-bounded type, Analytical Methods of Analysis and Differential Equations, Abstracts of Reports of International Conference, Minsk. , pp. 61, (2009)
  8. A. M. Jerbashian, On the theory of functions of $\omega$-bounded type in the half-plane, International Conference Modern Analysis and Applications" (MAA 2007) dedicated to the centenary of Mark Krein, Book of Abstracts , pp. 64 , (2007)
  9. A. M. Jerbashian, On the theory of functions of $\omega$-bounded type in the half-plane, Fourth Interntional Conference of Applied mathematics and Computing, Plovdiv, Bulgaria, 2, pp. 239, (2007)
  10. A. M. Jerbashian, On functions of $\omega$-bounded type in the half-plane, 5-th ISAAC Congress, Abstracts, University of Catania, Italy, pp. 28, (2005)
  11. A. M. Jerbashian, On the theory of functions of $\omega$-bounded type in the half-plane, Computational Methods and Function Theory (CMFT2005), Abstracts, Joensuu, Finland, pp. 70, (2005)
  12. A. M. Jerbashian, Weighted spaces of regular functions associated with fractional integro-differentiation, ISAAC 2003 Congress, York University, Toronto, Canada , pp. 70, (2003)
  13. A. M. Jerbashian, Weighted spaces of regular functions associated with fractional integro-differentiation, 5-th Congress of Romanian Mathematicians, Abstracts, pp. 69, (2003)
  14. A. M. Jerbashian, Weighted spaces of regular functions associated with fractional integro-differentiation, International Conference "Mathematics in Armenia, Advances and Perspectives", Abstracts, Yerevan , pp. 54, (2003)
  15. A. M. Jerbashian, The factorization theory of M.M.Djrbashian, Djrbashian Memorial Conference, DMC98, Abstracts, pp. 27, (1998)
  16. A. M. Jerbashian, Classes of functions of bounded type in the half-plane, a uniqueness theorem and a Phragmen-Lindelof type theorem, Proceedings of 4-th Saratov Winter School on Function Theory and Approximations , 3, pp. 84-86, (1988)
  17. A. M. Jerbashian, Factorization of some general classes of functions meromorphic in a half-plane, in: Colloquia Mathematica Soc. Janos Bolyai, Functions, Series Operators, Budapest, (35), pp. 423-429, (1980)

edited

  1. G. A. Gharagebakian, Course of Number Theory. Edit Print, Yerevan, ISBN 978-9939-53-019-3, pp. 266, (2008)

Preprint

  1. A. M. Jerbashian, Weighted classes of regular functions area integrable over the unit disc, Institute of Mathematics, NAS of Armenia, Preprint 2002-01, Yerevan, (2002)

Thesis

  1. A. M. Jerbashian, Weighted classes of regular functions associated with fractional integrodifferentaion, Dr. Sci. Math. Thesis, Yerevan, pp. 237, (2001)
  2. A. M. Jerbashian, Faktorization, parametric representations and boundary properties of some general classes of functions meromorphic in the half-plane, Ph. D. Thesis, Kharkov, pp. 237, (1983)

translations

  1. M. M. Djrbashian, Harmonic Analysis and Boundary Value Problems in the Complex Domain, Operator Theory Advances and Applications, Birkhauser Verlag, Basel-Boston-Berlin, Hardcover, ISBN 0-8176-2855-X (Boston), 65, pp. 270, (1993)
  2. M. M. Djrbashian, On the representability problem of analytic functions, [in Russian], Academy of Sciences of Armenian SSR, Soobscheniya Instituta Matematiki i Mekhaniki, 2, pp. 3 40, (1948)
  3. M. M. Djrbashian, On canonical representation of functions meromorphic in the unit disc, [in Russian], Proceedings of the Academy of Sciences of Armenian SSR, 3, (1), pp. 3-9, (1945)