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

Serena Federico and Alberto Parmeggiani

Mathematische Nachrichten, 2023, vol. 296, issue 1, 217-242

Abstract: In this paper, a bisingular pseudodifferential calculus, along the lines of the one introduced by L. Rodino in his paper of 1975, is developed in the global setting of a product of compact Lie groups. The approach follows that introduced by M. Ruzhansky and V. Turunen in their book of 2010 (see also V. Fischer's paper of 2015), in that it exploits the harmonic analysis of the groups involved.

Date: 2023
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https://doi.org/10.1002/mana.202100400

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