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arxiv: 0903.3326 · v1 · submitted 2009-03-19 · 🧮 math.SP · math.AP

On spectral minimal partitions: the case of the sphere

classification 🧮 math.SP math.AP
keywords partitionsminimalspectralsphereanalysisauthorsbishopcase
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We consider spectral minimal partitions. Continuing work of the the present authors about problems for planar domains, [23], we focus on the sphere and obtain a sharp result for 3-partitions which is related to questions from harmonic analysis, in particular to a conjecture of Bishop.

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