Oscillatory and Fourier integral operators with degenerate canonical relations.

Allan Greenleaf; Andreas Seeger

Publicacions Matemàtiques (2002)

  • Volume: 46, Issue: Extra, page 93-141
  • ISSN: 0214-1493

Abstract

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We survey results concerning the L2 boundedness of oscillatory and Fourier integral operators and discuss applications. The article does not intend to give a broad overview; it mainly focuses on topics related to the work of the authors.[Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial (Madrid), 2002].

How to cite

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Greenleaf, Allan, and Seeger, Andreas. "Oscillatory and Fourier integral operators with degenerate canonical relations.." Publicacions Matemàtiques 46.Extra (2002): 93-141. <http://eudml.org/doc/41609>.

@article{Greenleaf2002,
abstract = {We survey results concerning the L2 boundedness of oscillatory and Fourier integral operators and discuss applications. The article does not intend to give a broad overview; it mainly focuses on topics related to the work of the authors.[Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial (Madrid), 2002].},
author = {Greenleaf, Allan, Seeger, Andreas},
journal = {Publicacions Matemàtiques},
keywords = {oscillatory integral operator; Fourier integral operator; generalized Radon transform; restricted X-ray transforms; finite type condition; Morin singularity; boundedness},
language = {eng},
number = {Extra},
pages = {93-141},
title = {Oscillatory and Fourier integral operators with degenerate canonical relations.},
url = {http://eudml.org/doc/41609},
volume = {46},
year = {2002},
}

TY - JOUR
AU - Greenleaf, Allan
AU - Seeger, Andreas
TI - Oscillatory and Fourier integral operators with degenerate canonical relations.
JO - Publicacions Matemàtiques
PY - 2002
VL - 46
IS - Extra
SP - 93
EP - 141
AB - We survey results concerning the L2 boundedness of oscillatory and Fourier integral operators and discuss applications. The article does not intend to give a broad overview; it mainly focuses on topics related to the work of the authors.[Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial (Madrid), 2002].
LA - eng
KW - oscillatory integral operator; Fourier integral operator; generalized Radon transform; restricted X-ray transforms; finite type condition; Morin singularity; boundedness
UR - http://eudml.org/doc/41609
ER -

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