Generalized oscillatory integrals and Fourier integral operators

In this paper, a theory is developed of generalized oscillatory integrals (OIs) whose phase functions and amplitudes may be generalized functions of Colombeau type. Based on this, generalized Fourier integral operators (FIOs) acting on Colombeau algebras are defined. This is motivated by the need fo...

Full description

Saved in:
Bibliographic Details
Main Authors: Claudia Garetto, Michael Oberguggenberger, Gunther Hormann
Format: Default Article
Published: 2009
Subjects:
Other mathematical sciences not elsewhere classified
Algebras of generalized functions
Fourier integral operators
Microlocal analysis
Mathematical Sciences not elsewhere classified
Online Access:https://hdl.handle.net/2134/15330
Tags: Add Tag
No Tags, Be the first to tag this record!

Internet

https://hdl.handle.net/2134/15330

Similar Items