In this paper, a bisingular pseudodifferential calculus, along the lines of the oneintroduced by L. Rodino in his paper of 1975, is developed in the global settingof a product of compact Lie groups. The approach follows that introduced byM. Ruzhansky and V. Turunen in their book of 2010 (see also V. Fischer’s paperof 2015), in that it exploits the harmonic analysis of the groups involved.
On a class of pseudodifferential operators on the product ofcompact Lie groups / S. Federico; A. Parmeggiani. - In: MATHEMATISCHE NACHRICHTEN. - ISSN 0025-584X. - STAMPA. - 296:1(2022), pp. 217-242. [10.1002/mana.202100400]
On a class of pseudodifferential operators on the product ofcompact Lie groups
S. Federico;A. Parmeggiani
2022
Abstract
In this paper, a bisingular pseudodifferential calculus, along the lines of the oneintroduced by L. Rodino in his paper of 1975, is developed in the global settingof a product of compact Lie groups. The approach follows that introduced byM. Ruzhansky and V. Turunen in their book of 2010 (see also V. Fischer’s paperof 2015), in that it exploits the harmonic analysis of the groups involved.File in questo prodotto:
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