On quasianalytic classes of Gelfand-Shilov type. Parametrix and convolution
Functional Analysis
2018-12-11 v2 Analysis of PDEs
Complex Variables
Abstract
We develop a convolution theory for quasianalytic ultradistributions of Gelfand-Shilov type. We also construct a special class of ultrapolynomials, and use it as a base for the parametrix method in the study of new topological and structural properties of several quasianalytic spaces of functions and ultradistributions. In particular, our results apply to Fourier hyperfunctions and Fourier ultra-hyperfunctions.
Cite
@article{arxiv.1507.08331,
title = {On quasianalytic classes of Gelfand-Shilov type. Parametrix and convolution},
author = {Stevan Pilipovic and Bojan Prangoski and Jasson Vindas},
journal= {arXiv preprint arXiv:1507.08331},
year = {2018}
}
Comments
37 pages