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Carleman problem for two pairs of functions in a ring

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Ukrainian Mathematical Journal Aims and scope

Abstract

We consider a particular case of the matrix Carleman problem for two pairs of functions in a ring and find a constructive solution of this problem. In addition, we propose an algorithm for the construction of solutions for two infinite systems of smooth transition and for a system of two singular equations of special type.

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References

  1. F. D. Gakhov and Yu. I. Cherskii, Equations of Convolution Type [in Russian], Nauka, Moscow (1978).

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  2. P. V. Kerekesha, “Integral representation of a periodic function in a strip,” in: Republican Scientific-Methodical Conference Dedicated to the 200th Birthday of N. I. Lobachevskii [in Russian], Odessa (1992), pp. 38–39.

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Authors
  1. P. V. Kerekesha
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  2. S. Yu. Khachaturov
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 5, pp. 662–671, May, 1997

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Kerekesha, P.V., Khachaturov, S.Y. Carleman problem for two pairs of functions in a ring. Ukr Math J 49, 735–746 (1997). https://doi.org/10.1007/BF02486454

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  • DOI: https://doi.org/10.1007/BF02486454

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