# Levon Gevorgyan's Publications (Full profile)

### Paper

- Resolution of some matrix and integral equations by orthogonal polynomials, (Armenian), Proc. Arm. Math. Union, (2005)
- The local spectral theory of equiparanormal operators II, Methods of Functional Analysis and Topology, 8, (2), pp. 1-9, (2002)
- Some geometric characteristics of the numerical range, Electronic Journal "Investigated in Russia", 53, pp. 574-582, (2002)
- The exact value of the Hilbert determinant and two-sided estimates, (Armenian), Proc. of Annual Conference, SEUA, (2002)
- A description of truncated operator's spectrum and intermediate problems, (English), Doklady NAN Armenii, 101, (4), pp. 309-316, (2001)
- On normal eigenvalues of operators, (Armenian), Proc. Arm. Math. Union, (2001)
- Some properties of sectorial operators, (Armenian), Proc. of Annual Conference, SEUA, pp. 7-8, (2001)
- Some ideas on the concept of Hilbert space bases, (Armenian), Proc. of Annual Conference, SEUA, pp. 9-11, (2000)
- An estimate for equiparanormal operator and some applications, (Armenian), Proc. of Annual Conference, SEUA, pp. 16-18, (1999)
- Determination of some equation's roots and applications, (Russian), Siberian Math J. , 40, (5), pp. 1157-1166, (1999)
- Local estimate of iteration's norm and refinement of the Halmos- Reid inequality, (Russian), Doklady NAN Armenii, 99, (4), pp. 306-311, (1999)
- 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)
- Local spectral theory of equiparanormal operators, (Russian), Doklady NAN Armenii. , 97, (4), pp. 11-16, (1997)
- The reproducing kernels of positive Hilbert spaces and Green's generalized function, (Armenian), Proc. Arm. Math. Union, (1996)
- On a Krein-Lax theorem, (Russian), Izvestyia NAN Armenii. Matematika, v. </i> 29, (3), pp. 72-75, (1994)
- 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)
- On the existence of the separator for the algebra of polynomials on arbitrary operator, (Russian), Proc. of Conference at Yerevan State University, Yerevan, (1990)
- Expansion by eigenfunctionals of nonself-adjoint operators, an illustrative example, (Russian), Doklady AN Arm SSR, 89, (1), pp. 14-18, (1989)
- A criterion for subnormality of operators and power moment problem, (Russian), Doklady AN Arm. SSR, 77, (4), pp. 158-161, (1983)
- 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)
- Functional model of a family of nonself-adjoint operators, (Russian), Izvestiya AN Arm. SSR, Matematika, 16, pp. 274-284,, (1981)
- Functional model of a class of nonself-adjoint operators, (Russian), Doklady AN Arm. SSR, 70, pp. 212-215, (1980)
- 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)
- Functional model and invariant subspaces of some class of strictly cyclic operators, (Russian), Izvestia AN Arm. SSR, Matematika, 14, (1), pp. 42-48, (1979)
- On the algebraic structure of some classes of non-self adjoint operators, (Russian), Izvestia AN Arm SSR, Matematika, 14, (4), pp. 268-274, (1979)
- The full spectral theory of special quasiaffine transforms of self-adjoint operators, (Russian), Dep. ArmNINTI, 10. 09. 90, Ar 90, (39-)

### Book

- Special Functions, SEUA Publ. , Yerevan, p. 120, . (in Armenian), (2001)

### Conference Paper

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

### edited

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