Microlocal Properties of Basic Operations in Colombeau Algebras
Copyright policy )Microlocal Properties of Basic Operations in Colombeau Algebras
In the class of Colombeau distributions the operation of unrestrictedly carrying out products of distributions is analyzed from a microlocal point of view. General inclusions of wave-front sets of products in this algebra are derived and exaples are given to show the optimality of these inclusions.
- University of Vienna Austria
1010 Mathematics, Colombeau distributions, 1010 Mathematik, Applied Mathematics, products of distributions, microlocal point of view, algebras of generalized functions, microlocal analysis, Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.), Colombeau algebra, Colombeau algebras, product of distributions, Analysis
1010 Mathematics, Colombeau distributions, 1010 Mathematik, Applied Mathematics, products of distributions, microlocal point of view, algebras of generalized functions, microlocal analysis, Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.), Colombeau algebra, Colombeau algebras, product of distributions, Analysis
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