Geodesic
An Open Problem in Complex Analytic Geometry Arising in Harmonic Analysis
M. Ruzhansky1
1 Department of Mathematics, Imperial College London 180 Queen’s Gate, London SW7 2AZ, United Kingdom
Mathematical modelling of natural phenomena, Tome 8 (2013) no. 1, pp. 230-236

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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.
DOI : 10.1051/mmnp/20138118

M. Ruzhansky 1

1 Department of Mathematics, Imperial College London 180 Queen’s Gate, London SW7 2AZ, United Kingdom 
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M. Ruzhansky. An Open Problem in Complex Analytic Geometry Arising in Harmonic Analysis. Mathematical modelling of natural phenomena, Tome 8 (2013) no. 1, pp. 230-236. doi: 10.1051/mmnp/20138118

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