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Institute of Mathematics
Institute of Mathematics
Division of Mathematics and Technical Sciences
Specialization: Mathematics
Founded year: 1971
Director: Dr. of Phys.-Math. Sci.
Grigori A. Karagulyan
Address: 24/5, Marshall Baghramian Ave., Yerevan 0019, Republic of Armenia
Phone number: (+374 60) 623521, (+374 10) 524214
Fax: (+374 10) 524214
E-mail: office {[ at ]} instmath.sci.am
Website: http://math.sci.am/
Main Fields of Activity

Complex Analysis: theory of approximations by analytic and harmonic functions, best approximations; applications of uniform and tangential approximations in various fields of complex analysis; investigation of problems of Weierstrass theory of  analytic functions; Banach algebras of analytic functions; uniqueness problems of analytic and harmonic functions; value distribution theory of analytic and meromorphic functions; boundary value theory and boundary behavior of analytic, harmonic and subharmonic functions; integral transformations theory in complex domain; integral representations and classes of analytic and harmonic functions in multidimensional domains.
 
Real Analysis: trigonometric and general orthogonal series; bases in functional spaces; weighted functional spaces; differentiation of multidimensional integrals; representation and uniqueness for multiple Haar, Franklin, Walsh and trigonometric series; nonlinear approximation.

Probability Theory: integral and stochastic geometry; combinatorial integral geometry; point processes; sections of convex bodies by random planes and lines; measures generation by finite additive functionals; mathematical problems of statistical physics; limit theorems for random Gibbs processes and fields; statistics of stationary Gaussian processes.
 
Differential and Integral Equations: methods and algorithms for solution of equations; accelerating the convergence of decompositions by eigenfunctions of boundary problems and asymptotic estimates of the corresponding errors; computer realization of integral transforms and applications; parallelization of computations.

Mathematical Physics: methods of study and effective numerical-analytical solution of integral, integral-differential and other equations, arising in direct and inverse problems of radiative transfer, kinetic theory of gases, renewal stochastic processes, semi-Markov processes, filtration of stochastic processes, non-local interaction of  waves; development of  method of nonlinear factorization equations, Ambartsumian equation method;  fixed point principles in the critical case.

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