Carleman problem for two pairs of functions in a ring
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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.
KeywordsSmooth Transition Laurent Series Infinite System Power Coefficient Index Zero
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- 1.F. D. Gakhov and Yu. I. Cherskii, Equations of Convolution Type [in Russian], Nauka, Moscow (1978).Google Scholar
- 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.Google Scholar