具有互质基的权函数类的结构
The structure of weight and function classes with coprime bases
摘要:
在Anderson和Hu最近的一项工作中,作者构造了一个测度,即对于任何素数$p$和$q$,都是$p$ -adic和$q$ -adic加倍,但不是加倍。这项工作在很大程度上依赖于发达的数论框架。在这里,我们进一步发展这个框架,这产生了一个措施,是$m$ -adic和$n$ -adic加倍任何互质$m,n$,但不加倍。此外,我们展示了几个新的应用程序的权重和功能类的交集。
英文摘要:
In a recent work of Anderson and Hu, the authors constructed a measure that was $p$-adic and $q$-adic doubling, for any primes $p$ and $q$, yet not doubling. This work relied heavily on a developed number theory framework. Here we develop this framework farther, which yields a measure that is $m$-adic and $n$-adic doubling for any coprime $m,n$, yet not doubling. Additionally we show several new applications to the intersection of weight and the function classes.
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