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arxiv: math/0507533 · v1 · submitted 2005-07-26 · 🧮 math.CA

Marcinkiewicz-Zygmund inequalities

classification 🧮 math.CA
keywords inequalitiesmarcinkiewicz-zygmundanalogyclassicalcomputableconditionsfamilygeneralization
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We study a generalization of the classical Marcinkiewicz-Zygmund inequalities. We relate this problem to the sampling sequences in the Paley-Wiener space and by using this analogy we give sharp necessary and sufficient computable conditions for a family of points to satisfy the Marcinkiewicz-Zygmund inequalities.

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