2011
DOI: 10.1007/s00365-011-9146-7
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Entropy and Widths of Multiplier Operators on Two-Point Homogeneous Spaces

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Cited by 32 publications
(39 citation statements)
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“…These spaces are manifolds having an invariant Riemannian (geodesic) metric and can be endowed with a measure that permits to consider the Laplace-Beltrami operator on it, which can be used in order to define the smootheness condition in the same way we did here. We suggest [BrDa05,KuTo12] and references therein for more detailed information about these spaces.…”
Section: Resultsmentioning
confidence: 99%
“…These spaces are manifolds having an invariant Riemannian (geodesic) metric and can be endowed with a measure that permits to consider the Laplace-Beltrami operator on it, which can be used in order to define the smootheness condition in the same way we did here. We suggest [BrDa05,KuTo12] and references therein for more detailed information about these spaces.…”
Section: Resultsmentioning
confidence: 99%
“…The next result present a relation between integrals in L 2 (M d ) and L α,β 1 ([−1, 1]) and can be found in the references [3], [11], [15].…”
Section: A Appendix: a Proof For The Funk-hecke Formulamentioning
confidence: 99%
“…In general this classification is decisive in analysis of problems involving the compact two‐point homogeneous spaces, as can be seen in , , .…”
Section: Introductionmentioning
confidence: 99%
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“…Os elementos da base S d k,a são comumente chamados de harmônicos esféricos. Mais informações sobre a Fórmula de Adição, sua aplicabilidade e sobre a análise harmônica em geral atrelada aos espaços M d podem ser encontradas em [8,9,28,36] e nas referências lá citadas.…”
Section: -Homogêneosunclassified