Upper Beurling Density of Systems formed by Translates of finite Sets of Elements in $L^p(\R^d)$

Details Upper Beurling Density of Systems formed by Translates of finite Sets of Elements in $L^p(\R^d)$ Upper Beurling Density of Systems formed by Translates of finite Sets of Elements in $L^p(\R^d)$

2012-03-28

arxiv.org/abs/1203.6147v1

Mathematics

Functional Analysis

12 pages, to appear in Banach J. Math. Appl

Scientific paper

In this paper, we prove that if a finite disjoint union of translates $\bigcup_{k=1}^n\{f_k(x-\gamma)\}_{\gamma\in\Gamma_k}$ in $L^p(\R^d)$ $(1

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