Embeddings of ultradistributions and periodic hyperfunctions in Colombeau type algebras through sequence spaces

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dc.creatorDelcroix, Antoine
dc.creatorHasler, Maximilian F.
dc.creatorPilipović, Stevan
dc.creatorValmorin, Vincent
dc.date2002-10-16
dc.date.accessioned2026-07-07T04:52:00Z
dc.date.available2026-07-07T04:52:00Z
dc.descriptionIn a recent paper, we gave a topological description of Colombeau type algebras introducing algebras of sequences with exponential weights. Embeddings of Schwartz' spaces into the Colombeau algebra G are well known, but for ultradistribution and periodic hyperfunction type spaces we give new constructions. We show that the multiplication of regular enough functions (smooth, ultradifferentiable or quasianalytic), embedded into corresponding algebras, is the ordinary multiplication.
dc.identifierhttps://arxiv.org/abs/math/0210240
dc.identifierhttp://arxiv.org/abs/math/0210240
dc.identifierMath Proc Cambridge Phil Soc (2004), 137:3:697-708
dc.identifierdoi:10.1017/S0305004104007923
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65310
dc.subjectFunctional Analysis
dc.subject46A45; 46F30
dc.titleEmbeddings of ultradistributions and periodic hyperfunctions in Colombeau type algebras through sequence spaces
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