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Lo scopo di questo lavoro è studiare una classe di simboli di ordine infinito e sviluppare un calcolo globale per gli operatori pseudodifferenziali corrispondenti. In particolare, otteniamo risultati di continuità per gli operatori e di regolarità globale per le soluzioni delle equazioni associate negli spazi di Gelfand.
Abstract
The aim of this work is to study a class of symbols of infinite order and to develop a global calculus for the corresponding pseudodifferential operators. In particular, we obtain results of boundedness for the operators and of global regularity for the solutions of the associated equations in the Gelfand spaces.
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Cappiello, M. Gelfand spaces and pseudodifferential operators of infinite order in ℝn . Ann. Univ. Ferrara 48, 75–97 (2002). https://doi.org/10.1007/BF02824740
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DOI: https://doi.org/10.1007/BF02824740