English

On a class of pseudodifferential operators on the product of compact Lie groups

Analysis of PDEs 2022-11-21 v1

Abstract

In this paper a bisingular pseudodifferential calculus, along the lines of the one introduced by L. Rodino in [12], is developed in the global setting of a product of compact Lie groups. The approach follows that introduced by M. Ruzhansky and V. Turunen [13] (see also V. Fischer [5]), in that it exploits the harmonic analysis of the groups involved.

Keywords

Cite

@article{arxiv.2107.13224,
  title  = {On a class of pseudodifferential operators on the product of compact Lie groups},
  author = {Serena Federico and Alberto Parmeggiani},
  journal= {arXiv preprint arXiv:2107.13224},
  year   = {2022}
}