Siberian Mathematical Journal

, Volume 42, Issue 5, pp 846–850 | Cite as

Regularization of One Class of Difference Equations

  • F. N. Garif'yanov


We study a linear difference equation in the class of holomorphic solutions vanishing at infinity.


Difference Equation Linear Difference Equation Holomorphic Solution 
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  1. 1.
    Garif'yanov F. N., “The inversion problem for a singular integral and difference equations for functions analytic outside a square,” Izv. Vyssh. Uchebn. Zaved. Mat., 7, 7-16 (1993).Google Scholar
  2. 2.
    Napalkov V. V., Convolution Equations in Multidimensional Spaces [in Russian], Nauka, Moscow (1982).Google Scholar
  3. 3.
    Korobeînik Yu. V., “On solutions of some functional equations in the class of functions analytic in convex domains,” Mat. Sb., 75, 225-234 (1968).Google Scholar
  4. 4.
    Leont'ev A. F., Series of Exponentials [in Russian], Nauka, Moscow (1978).Google Scholar
  5. 5.
    Aksent'eva E. P. and Garif'yanov F. N., “Study of the integral equation with the Carleman kernel,” Izv. Vyssh. Uchebn. Zaved. Mat., 4, 43-51 (1983).Google Scholar
  6. 6.
    Garif'yanov F. N., “Transformations of biorthogonal systems and some of their applications. I,” Izv. Vyssh. Uchebn. Zaved. Mat., 6, 5-16 (1996).Google Scholar
  7. 7.
    Garif'yanov F. N., “Stieltjes moments of entire functions of exponential type,” Mat. Zametki, 67, No. 5, 572-576 (2000).Google Scholar

Copyright information

© Plenum Publishing Corporation 2001

Authors and Affiliations

  • F. N. Garif'yanov
    • 1
  1. 1.Kazan' State Agriculture AcademyKazan'

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