Sequence spaces with exponent weights. Realizations of Colombeau type algebras
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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We define a general notion of set of indices which, using concepts from pre-ordered sets theory, permits to unify the presentation of several Colombeau-type algebras of nonlinear generalized functions. In every set of indices it is possible to generalize Landau’s notion of big-O such that its usual properties continue to hold. Using this generalized notion of big-O, these algebras can be formal...
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ژورنال
عنوان ژورنال: Dissertationes Mathematicae
سال: 2007
ISSN: 0012-3862,1730-6310
DOI: 10.4064/dm447-0-1