Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques naturelles / sciences mathematiquesVol. CXXXIII, No. 31, pp. 115–136 (2006)
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Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques naturelles / sciences mathematiques Vol. CXXXIII, No. 31, pp. 115–136 (2006) |
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On duality theory and pseudodifferential techniques for Colombeau algebras: generalized delta functionals, kernels and wave front setsClaudia Garetto and G. H\"{o}rmannDipartimento di Matematica, Universita di Torino, ItaliaInstitut für Mathematik, Universität Wien, Austria Abstract: Summarizing basic facts from abstract topological modules over Colombeau generalized complex numbers we discuss duality of Colombeau algebras. In particular, we focus on generalized delta functionals and operator kernels as elements of dual spaces. A large class of examples is provided by pseudodifferential operators acting on Colombeau algebras. By a refinement of symbol calculus we review a new characterization of the wave front set for generalized functions with applications to microlocal analysis. Keywords: Colombeau generalized functions, duality theory, pseudodifferential operators, microlocal analysis Classification (MSC2000): 46F30, 46A20, 47G30 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 10 Jun 2006. This page was last modified: 20 Jun 2011.
© 2006 Mathematical Institute of the Serbian Academy of Science and Arts
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