Sharp frequency bounds for eigenfunctions of the Ornstein-Uhlenbeck operator
classification
🧮 math.DG
math.AP
keywords
boundssharpeigenfunctionsoperatorornstein-uhlenbeckapplicationsevenflows
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We prove sharp bounds for the growth rate of eigenfunctions of the Ornstein-Uhlenbeck operator and its natural generalizations. The bounds are sharp even up to lower order terms and have important applications to geometric flows.
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