Abstract
Generalized differentiation operators that are, in a certain case, finite-order differential operators with variable coefficients are studied. An arbitrary entire function is decomposed into a sum of two functions, one of which is a solution of an appropriate equation and the other is divided by the characteristic function. The consequence of this decomposition is the solution of the Goursat problem.
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Original Russian Text © E.F. Gubaidullina, V.V. Napalkov, 2015, published in Doklady Akademii Nauk, 2015, Vol. 465, No. 2, pp. 141–144.
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Gubaidullina, E.F., Napalkov, V.V. Fischer decomposition for differential operators with variable coefficients. Dokl. Math. 92, 674–676 (2015). https://doi.org/10.1134/S1064562415060101
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DOI: https://doi.org/10.1134/S1064562415060101