Abstract
In this paper we study boundedness of translation invariant operators on the discrete space $$\ell ^p(\mathbb {Z}^d)$$. In this context a Mikhlin type multiplier theorem is given, yielding boundedness for certain known operators. We also give $$\ell ^p-\ell ^q$$ boundedness of a discrete wave equation.
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More From: Journal of Pseudo-Differential Operators and Applications
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