Geodesic
Analytic solvability of the H\"ormander problem and the Borel transformation of multiple Laurent series
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 2, pp. 186-195

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In this paper, the initial-boundary value problem of Hormander is formulated in the class of functions representable by Laurent series supported in rational cones. Using the Borel transformation of Laurent series we establish a connection between a differential and a difference problems and prove its global analytic solvability.
Keywords: Hörmander problem, polynomial differential operator, difference operator.
Mots-clés : Borel transformation 
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     title = {Analytic solvability of the {H\"ormander} problem and the {Borel} transformation of multiple {Laurent} series},
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Evgeny K. Leinartas; Tatiana I. Yakovleva. Analytic solvability of the H\"ormander problem and the Borel transformation of multiple Laurent series. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 2, pp. 186-195. http://geodesic.mathdoc.fr/item/JSFU_2022_15_2_a4/