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Microlocal Asymptotic Analysis in Algebras of Generalized Functions by Delcroix, Antoine; Oberguggenberger, Michael; Marti, Jean-André is a scholarly article available to read on EtoBox.

What is Microlocal Asymptotic Analysis in Algebras of Generalized Functions about?

We introduce a new type of local and microlocal asymptotic analysis in algebras of generalized functions, based on the presheaf properties of those algebras and on the properties of their elements with respect to a regularizing parameter. Contrary to the more classical frequential analysis based on the Fourier transform, we can describe a singular asymptotic spectrum which has good properties with respect to nonlinear operations. In this spirit we give several examples of propagation of singularities through nonlinear operators.

Author

Delcroix, Antoine; Oberguggenberger, Michael; Marti, Jean-André

Published

2007

Language

EN