Partial Fourier series on compact Lie groups
Analysis of PDEs
2021-07-02 v1
Abstract
In this note we investigate the partial Fourier series on a product of two compact Lie groups. We give necessary and sufficient conditions for a sequence of partial Fourier coefficients to define a smooth function or a distribution. As applications, we will study conditions for the global solvability of an evolution equation defined on and we will show that some properties of this evolution equation can be obtained from a constant coefficient equation.
Cite
@article{arxiv.1909.12824,
title = {Partial Fourier series on compact Lie groups},
author = {Alexandre Kirilov and Wagner Augusto Almeida de Moraes and Michael Ruzhansky},
journal= {arXiv preprint arXiv:1909.12824},
year = {2021}
}
Comments
21 pages