2013 | OriginalPaper | Chapter
Classes of Generalized Functions with Finite Type Regularities
Authors : Stevan Pilipović, Dimitris Scarpalézos, Jasson Vindas
Published in: Pseudo-Differential Operators, Generalized Functions and Asymptotics
Publisher: Springer Basel
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We introduce and analyze spaces and algebras of generalized functions which correspond to Hölder, Zygmund, and Sobolev spaces of functions. The main scope of the paper is the characterization of the regularity of distributions that are embedded into the corresponding space or algebra of generalized functions with finite type regularities.