Levon Gevorgyan's Publications (Full profile)

Paper

  1. Levon Gevorgyan, Resolution of some matrix and integral equations by orthogonal polynomials, (Armenian), Proc. Arm. Math. Union, (2005)
  2. Gevorgyan L. Z., Some geometric characteristics of the numerical range, Electronic Journal "Investigated in Russia", 53, pp. 574-582, (2002)
  3. Gevorgyan L. Z., The exact value of the Hilbert determinant and two-sided estimates, (Armenian), Proc. of Annual Conference, SEUA, (2002)
  4. Gevorgyan L. Z., The local spectral theory of equiparanormal operators II, Methods of Functional Analysis and Topology, 8, (2), pp. 1-9, (2002)
  5. Gevorgyan L. Z., A description of truncated operator's spectrum and intermediate problems, (English), Doklady NAN Armenii, 101, (4), pp. 309-316, (2001)
  6. Gevorgyan L. Z., On normal eigenvalues of operators, (Armenian), Proc. Arm. Math. Union, (2001)
  7. Gevorgyan L. Z., Some properties of sectorial operators, (Armenian), Proc. of Annual Conference, SEUA, pp. 7-8, (2001)
  8. Gevorgyan L. Z., Some ideas on the concept of Hilbert space bases, (Armenian), Proc. of Annual Conference, SEUA, pp. 9-11, (2000)
  9. Gevorgyan L. Z., An estimate for equiparanormal operator and some applications, (Armenian), Proc. of Annual Conference, SEUA, pp. 16-18, (1999)
  10. Gevorgyan L. Z. , Tovmasyan N. E., Determination of some equation's roots and applications, (Russian), Siberian Math J. , 40, (5), pp. 1157-1166, (1999)
  11. Gevorgyan L. Z., Local estimate of iteration's norm and refinement of the Halmos- Reid inequality, (Russian), Doklady NAN Armenii, 99, (4), pp. 306-311, (1999)
  12. Gevorgyan L. Z., On the spectra of restriction on invariant subspace, of compression on co-invariant subspace of an operator, (Armenian), Proc. of Annual Conference, SEUA, pp. 4-5, (1998)
  13. Gevorgyan L. Z., Local spectral theory of equiparanormal operators, (Russian), Doklady NAN Armenii. , 97, (4), pp. 11-16, (1997)
  14. Gevorgyan L. Z., The reproducing kernels of positive Hilbert spaces and Green's generalized function, (Armenian), Proc. Arm. Math. Union, (1996)
  15. Gevorkyan L. Z., On a Krein-Lax theorem, (Russian), Izvestyia NAN Armenii. Matematika, v. </i> 29, (3), pp. 72-75, (1994)
    Published translation
    J. Contemp. Math. Anal.
    29
    (3)
    , pp. 72-75
    (1994)
  16. Gevorkyan L. Z., Some relations between the spectra of an operator and its quasi-affine transformation, (Russian), In the book: Differential equations and Functional Analysis, Yerevan, . (see also Dep. ArmNINTI, 10. 09. 90, Ar 90), (40-), (1993)
  17. Gevorkyan L. Z., On the existence of the separator for the algebra of polynomials on arbitrary operator, (Russian), Proc. of Conference at Yerevan State University, Yerevan, (1990)
  18. Gevorkyan L. Z., Expansion by eigenfunctionals of nonself-adjoint operators, an illustrative example, (Russian), Doklady AN Arm SSR, 89, (1), pp. 14-18, (1989)
  19. Gevorkyan L. Z., A criterion for subnormality of operators and power moment problem, (Russian), Doklady AN Arm. SSR, 77, (4), pp. 158-161, (1983)
  20. Gevorkyan L. Z., Functional model and invariant subspaces of some classes of nonself-adjoint operators, (Russian), In the book: Joint Soviet- Czechoslovak VII Meeting, Application of function theory and functional analysis methods in the problems of the mathematical physics, Yerevan, pp. 84-88, (1982)
  21. Gevorkyan L. Z., Functional model of a family of nonself-adjoint operators, (Russian), Izvestiya AN Arm. SSR, Matematika, 16, pp. 274-284,, (1981)
    Published translation
    J. Contemp. Math. Anal.
    16
    (4)
    , pp. 22-33
    (1981)
  22. Gevorkyan L. Z., On the representation of the operator as the operator of multiplication by the independent variable, (Russian), In the book: Partial differential equations, Novosibirsk, Nauka, pp. 230-233, (1980)
  23. Gevorkyan L. Z., Functional model of a class of nonself-adjoint operators, (Russian), Doklady AN Arm. SSR, 70, pp. 212-215, (1980)
  24. Gevorkyan L. Z., Functional model and invariant subspaces of some class of strictly cyclic operators, (Russian), Izvestia AN Arm. SSR, Matematika, 14, (1), pp. 42-48, (1979)
    Published translation
    J. Contemp. Math. Anal.
    14
    (1)
    , pp. 39-45
    (1979)
  25. Gevorkyan L. Z., On the algebraic structure of some classes of non-self adjoint operators, (Russian), Izvestia AN Arm SSR, Matematika, 14, (4), pp. 268-274, (1979)
    Published translation
    J. Contemp. Math. Anal.
    14
    (4)
    , pp. 30-47
    (1979)
  26. Gevorkyan L. Z., The full spectral theory of special quasiaffine transforms of self-adjoint operators, (Russian), Dep. ArmNINTI, 10. 09. 90, Ar 90, (39-)

Book

  1. Gevorgyan L. Z, Special Functions, SEUA Publ. , Yerevan, p. 120, . (in Armenian), (2001)

Conference Paper

  1. Gevorgyan L. Z, The local spectral theory of equiparanormal operators, IWOTA-, Universite de Bordeaux I, France, (2000)
  2. Gevorgyan L. Z., Resolution of Operator Equations by Extension of the Resolvent via Annihilating Functions, Proc. Iranian 30-th International Conference on Mathematics, Ardebil, IR of IRAN
  3. Gevorgyan L. Z., The full spectral theory of class of operators, INTERNATIONAL CONFERENCE ON FUNCTIONAL ANALYSIS

edited

  1. N. E. Tovmasyan, Non-Regular Differential Equations and Calculations of Electromagnetic Fields, World Scientific, Singapore, (1997)
  2. N. E. Tovmasyan, Boundary Value Problems for Partial Differential Equations and Applications in Electrodynamics, World Scientific, Singapore, (1994)