An open problem in complex analytic geometry arising in harmonic analysis
Analysis of PDEs
2013-03-21 v1 Complex Variables
Abstract
In this paper, an open problem in the multidimensional complex analysis is pesented that arises in 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.
Cite
@article{arxiv.0711.0605,
title = {An open problem in complex analytic geometry arising in harmonic analysis},
author = {Michael Ruzhansky},
journal= {arXiv preprint arXiv:0711.0605},
year = {2013}
}
Comments
8 pages