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An Open Problem in Complex Analytic Geometry Arising inHarmonic 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 thatarises in the harmonic analysis related to the investigation of the regularity propertiesof Fourier integral operators and in the regularity theory for hyperbolic partialdifferential equations. The problem is discussed in a self-contained elementary way andsome results towards its resolution are presented. A conjecture concerning the structureof 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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