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Multipliers on Compact Lie Groups

Sufficient conditions are found for a biinvariant operator on a compact Lie group to be bounded on L(p), 1 < p < ∞. The proof uses properties of g-functions on such a group, and an analog to the familiar relationship between differentiation and multiplication under the Fourier transform.

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Detalhes bibliográficos
Publicado no:Proc Natl Acad Sci U S A
Autor principal: Weiss, Norman J.
Formato: Artigo
Idioma:Inglês
Publicado em: National Academy of Sciences 1971
Assuntos:
Acesso em linha:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC389083/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16591920/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.68.5.930
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