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Regularity of Fourier Integral Operators

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Proceedings of the International Congress of Mathematicians

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Abstract

The purpose of this paper is to survey some developments in the study of Radon transforms. These operators and the related oscillatory integrals have long been of interest in harmonic analysis and mathematical physics. Lately, they have emerged as key analytic tools in a wide variety of problems, ranging from partial differential equations to singularity theory and probability. It is not possible for us to describe adequately the progress made in all these areas in this limited space. Instead, we shall focus on the more analytic aspects, and take the opportunity to describe some recent joint work of the author with Elias M. Stein.

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Authors and Affiliations

  1. Columbia University, New York, NY, 10027, USA

    Duong H. Phong

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  1. Duong H. Phong
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Editors and Affiliations

  1. Département de Mathématiques, EPFL, 1015, Laussane, Switzerland

    S. D. Chatterji

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© 1995 Birkhaäser Verlag

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Phong, D.H. (1995). Regularity of Fourier Integral Operators. In: Chatterji, S.D. (eds) Proceedings of the International Congress of Mathematicians. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-9078-6_79

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  • DOI: https://doi.org/10.1007/978-3-0348-9078-6_79

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9897-3

  • Online ISBN: 978-3-0348-9078-6

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