Landau's necessary density conditions for LCA groups

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• 作者：Karlheinz Grö ; chenig ; Gitta Kutyniok ; Kristian Seip
• 关键词：Beurling density ; Sampling ; Interpolation ; Homogeneous approximation property ; Locally compact abelian group
• 刊名：Journal of Functional Analysis
• 出版年：2008
• 出版时间：1 October 2008
• 年：2008
• 卷：255
• 期：7
• 页码：1831-1850
• 全文大小：205 K

文摘

We derive necessary conditions for sampling and interpolation of bandlimited functions on a locally compact abelian group in line with the classical results of H. Landau for bandlimited functions on . Our conditions are phrased as comparison principles involving a certain canonical lattice.