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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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| Udgivet i: | Proc Natl Acad Sci U S A |
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| Hovedforfatter: | |
| Format: | Artigo |
| Sprog: | Inglês |
| Udgivet: |
National Academy of Sciences
1971
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| Fag: | |
| Online adgang: | 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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