| Issue |
Math. Model. Nat. Phenom.
Volume 8, Number 1, 2013
Harmonic analysis
|
|
|---|---|---|
| Page(s) | 230 - 236 | |
| DOI | https://doi.org/10.1051/mmnp/20138118 | |
| Published online | 28 January 2013 | |
An Open Problem in Complex Analytic Geometry Arising in Harmonic Analysis
Department of Mathematics,
Imperial College London 180 Queen’s
Gate, London
SW7 2AZ, United
Kingdom
∗ Corresponding author. E-mail: m.ruzhansky@imperial.ac.uk
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.
Mathematics Subject Classification: 35S30 / 58J40 / 32A30 / 53D12
Key words: complex analytic geometry / fibrations / Lagranigian manifolds / Fourier integral operators
© EDP Sciences, 2013
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