Embeddings of ultradistributions and periodic hyperfunctions in Colombeau type algebras through sequence spaces
نویسندگان
چکیده
منابع مشابه
Embeddings of ultradistributions and periodic hyperfunctions in Colombeau type algebras through sequence spaces
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 o...
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AMS Mathematics Subject Classification (2000): 35D05, 35L60, 46F30
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ژورنال
عنوان ژورنال: Mathematical Proceedings of the Cambridge Philosophical Society
سال: 2004
ISSN: 0305-0041,1469-8064
DOI: 10.1017/s0305004104007923