A general Simonenko local principle and Fredholm condition for isotypical components

DOI10.1007/S00025-022-01654-ZarXiv2109.06173WikidataQ114231952 ScholiaQ114231952MaRDI QIDQ6377564

Publication date: 11 September 2021

Abstract: In this paper, we derive, from a general Simonenko's local principle, Fredholm criteria for restriction to isotypical components. More precisely, we give a full proof, of the equivariant local principle for restriction to isotypical components of invariant pseudodifferential operators announced in cite{BCLN2}. Furthermore, we extend this result by relaxing the hypothesis made in the preceding quoted paper.

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Pseudodifferential and Fourier integral operators on manifolds (58J40) Applications of functional analysis to differential and integral equations (46N20) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

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