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...

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Bibliographic Details
Main Authors: Claudia Garetto, Michael Oberguggenberger, Gunther Hormann
Format: Default Article
Published: 2009
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Online Access:https://hdl.handle.net/2134/15330
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