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T-product of hypoelliptic operators

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Abstract

Asymptotics as t→0 for the solution of the Cauchy problem for hypoelliptic equations are obtained. Using these results, the existence of the T-product for hypoelliptic operators is proved as is a theorem on the removal of autonomous brackets in the T-product.

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Additional information

Translated from Itogi i Nauki i Tekhniki, Sovremennye Problemy Matematiki, Vol. 8, pp. 137–197, 1977.

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Maslov, V.P., Shishmarev, I.A. T-product of hypoelliptic operators. J Math Sci 13, 81–118 (1980). https://doi.org/10.1007/BF01084110

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  • DOI: https://doi.org/10.1007/BF01084110

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