A comparison Theorem for matrix limitation methods is proved and the following applications are given: - new results concerning the comparison between weighted densities generated by different weights; - new results concerning the comparison between weighted densities of a set $E \subseteq N^*$ and those of its transformed set $\pi(E)$, where $\pi$ is a given injective function $N^*\to^* ! N¤$. In particular, a new class of permutations preserving the asymptotic density is identified.
A comparison Theorem for matrix limitation methods with applications
GIULIANO, RITA;
2006-01-01
Abstract
A comparison Theorem for matrix limitation methods is proved and the following applications are given: - new results concerning the comparison between weighted densities generated by different weights; - new results concerning the comparison between weighted densities of a set $E \subseteq N^*$ and those of its transformed set $\pi(E)$, where $\pi$ is a given injective function $N^*\to^* ! N¤$. In particular, a new class of permutations preserving the asymptotic density is identified.File in questo prodotto:
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