Sequential conditions of integrability of Roumieu ultradistributions

2019/10/30 by Svetlana Mincheva-Kamińska, Mincheva-Kaminska, Svetlana
Economics, Econometrics and Finance · Mathematics · #46E10 #46F05 #46F10 #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Stochastic processes and financial applications

paper · pdf · doi:10.48550/arxiv.1910.14173

openalex publication_date 2019/10/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider several general conditions for integrability of two Roumieu ultradistributions and prove their equivalence. The discussed sequential conditions are based on two classes of approximate units and allow one to introduce sequential defnitions of the convolution in the space of Roumieu ultradistributions, analogous to the known defnitions in the space of distributions.

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