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An Open Problem in Complex Analytic Geometry Arising in Harmonic Analysis

Published online by Cambridge University Press:  28 January 2013

M. Ruzhansky
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Abstract

In this paper, an open problem in the multidimensional complex analysis is presented that arises in the harmonic analysis related to the investigation of the regularity properties of Fourier integral operators and in the regularity theory for hyperbolic partial differential equations. The problem is discussed in a self-contained elementary way and some results towards its resolution are presented. A conjecture concerning the structure of appearing affine fibrations is formulated.

Keywords

complex analytic geometryfibrationsLagranigian manifoldsFourier integral operators
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 8 , Issue 1: Harmonic analysis , 2013 , pp. 230 - 236
Copyright
© EDP Sciences, 2013

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References

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