Recent Submissions

  • Domains of Convergence for A-hypergeometric Series and Integrals 

    Nilsson, Lisa; Passare, Mikael; Tsikh, August K.; Нильсон, Лиса; Пассаре, Микаэль; Цих, Август К. (Сибирский федеральный университет. Siberian Federal University, 2019-08)
    We prove two theorems on the domains of convergence for A-hypergeometric series and for associated Mellin-Barnes type integrals. The exact convergence domains are described in terms of amoebas and coamoebas of the ...
  • The Closure and the Interior of C-convex Sets 

    Znamenskij, Sergej V.; Знаменский, Сергей В. (Сибирский федеральный университет. Siberian Federal University, 2019-08)
    C-convexity of the closure, interiors and their lineal convexity are considered for C-convex sets under additional conditions of boundedness and nonempty interiors. The following questions on closure and the interior of ...
  • Locally Explicit Fundamental Principle for Homogeneous Convolution Equations 

    Vidras, Alekos; Видрас, Алекос (Сибирский федеральный университет. Siberian Federal University, 2019-08)
    In the present paper a locally explicit version of Ehrenpreis’s Fundamental Principle for a system of homogeneous convolution equations f μ j = 0, j = 1; : : : ;m, f ∈ E(Rⁿ), μ j ∈ E′(Rⁿ), is derived, when the Fourier ...
  • On Integration of Functions of Complexity One 

    Beloshapka, Valery K.; Белошапка, Валерий К. (Сибирский федеральный университет. Siberian Federal University, 2019-08)
    We describe functions of complexity one with antiderivative of the same complexity
  • The Discrete Analog of the Newton-Leibniz Formula in the Problem of Summation over Simplex Lattice Points 

    Leinartas, Evgeniy K.; Shishkina, Olga A.; Лейнартас, Евгений К.; Шишкина, Ольга А. (Сибирский федеральный университет. Siberian Federal University, 2019-08)
    Definition of the discrete primitive function is introduced in the problem of summation over simplex lattice points. The discrete analog of the Newton-Leibniz formula is found
  • The de Rham Cohomology through Hilbert Space Methods 

    Malass, Ihsane; Tarkhanov, Nikolai; Малас, Исан; Тарханов, Николай (Сибирский федеральный университет. Siberian Federal University, 2019-08)
    We discuss canonical representations of the de Rham cohomology on a compact manifold with boundary. They are obtained by minimising the energy integral in a Hilbert space of differential forms that belong along with the ...
  • Adiabatic Limit in Yang–Mills Equations in R⁴ 

    Sergeev, Armen G.; Сергеев, Армен Г. (Сибирский федеральный университет. Siberian Federal University, 2019-08)
    Our goal is to present an approach to the proof of the harmonic spheres conjecture based on the adiabatic limit construction. This construction allows to associate with an arbitrary Yang–Mills G-field on the Euclidean ...
  • Fine-analytic Functions in C ⁿ 

    Sadullaev, Azimbai; Садуллаев, Азимбай (Сибирский федеральный университет. Siberian Federal University, 2019-08)
    In this paper we study class of fine-analytic functions in the multidimensional space C ⁿ: The definition of fine-analytic functions in the multidimensional case differs somewhat from the well-known definition of ...
  • Functions with the One-dimensional Holomorphic Extension Property 

    Myslivets, Simona G.; Мысливец, Симона Г. (Сибирский федеральный университет. Siberian Federal University, 2019-08)
    In this paper we consider different families of complex lines, sufficient for holomorphic extension the functions f, defined on the boundary of a domain D Cn, n > 1, into this domain, and possessing the one-dimensional ...
  • On Some Approach for Finding the Resultant of Two Entire Functions 

    Kytmanov, Alexander M.; Myshkina, Evgeniya K.; Кытманов, Александр М.; Мышкина, Евгения К. (Сибирский федеральный университет. Siberian Federal University, 2019-08)
    One approach for finding the resultant of two entire functions is discussed in the article. It is based on Newton’s recurrent formulas
  • On Carleman-type Formulas for Solutions to the Heat Equation 

    Kurilenko, Ilya A.; Shlapunov, Alexander A.; Куриленко, Илья А.; Шлапунов, Александр А. (Сибирский федеральный университет. Siberian Federal University, 2019-08)
    We apply the method of integral representations to study the ill-posed Cauchy problem for the heat equa- tion. More precisely we recover a function, satisfying the heat equation in a cylindrical domain, via its values ...
  • Unified Transform method for the Schr¨odinger Equation on a Simple Metric Graph 

    Khudayberganov, Gulmirza; Sobirov, Zarifboy A.; Eshimbetov, Mardonbek R.; Худайберганов, Гулмирза; Собиров, Зарифбой А.; Эшимбетов, Мардонбек Р. (Сибирский федеральный университет. Siberian Federal University, 2019-08)
    Integral-representation of solutions of the initial-boundary value problems for the Schr¨odinger equation on simple metric graphs was obtained with the use of the Fokas method. This method uses special gen- eralization ...
  • Upper Half-plane in the Grassmanian Gr(n; 2n) 

    Gindikin, Simon; Гиндикин, Симон (Сибирский федеральный университет. Siberian Federal University, 2019-08)
    We investigate the complex geometry of a multidimensional generalization D(n) of the upper-half-plane, which is homogeneous relative the group G = SL(2n;R). For n > 1 it is the pseudo Hermitian symmet- ric space which ...
  • A Priori Estimates of the Conjugate Problem Describing an Axisymmetric Thermocapillary Motion for Small Marangoni Number 

    Andreev, Victor K.; Magdenko, Evgeniy P.; Андреев, Виктор К.; Магденко, Евгений П. (Сибирский федеральный университет. Siberian Federal University, 2019-08)
    This paper is devoted to the study of equations solution describing the axisymmetric motion of a viscous heat-conducting liquid. The motion is interpreted as a two-layer flow of viscous heat-conducting liquids in a ...