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

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

2002-10-16

arxiv.org/abs/math/0210240v1

Math Proc Cambridge Phil Soc (2004), 137:3:697-708

Mathematics

Functional Analysis

Scientific paper

10.1017/S0305004104007923

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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