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Borel-Laplace transform and resurgent functions. (English. Russian original) Zbl 0876.44002
Mosc. Univ. Math. Bull. 49, No. 3, 33-44 (1994); translation from Vestn. Mosk. Univ., Ser. I 1994, No. 3, 37-49 (1994).
Summary: The paper, which is a report read at the Lobachevski Readings in 1993, narrates a new interesting topic in the theory of differential equations and the theory of functions, namely, resurgent analysis. This field due to the French Mathematical School is presently undergoing violent metamorphism. Our aim is to draw the attention of Russian scholars to the problems in this field.
44A10 Laplace transform
44-02 Research exposition (monographs, survey articles) pertaining to integral transforms
34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.