arXiv math/02102402002-10-16math.FA

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

Antoine Delcroix, Maximilian F. Hasler, Stevan Pilipović, Vincent Valmorin

发表信息：: Math Proc Cambridge Phil Soc (2004), 137:3:697-708
DOI：: 10.1017/S0305004104007923

英文摘要：

In 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.

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