论文标题
任何多指数序列都有一个插值度量
Any multi-index sequence has an interpolating measure
论文作者
论文摘要
R. P. Boas表明，任何单个索引序列$ \ left \ {β_i\ right \} _ {i = 0}^\ infty $可以表示为$β_i= \ int_0^\ int_0^\ int_0^\ int_0^\ int_0^\ infty x^i \，dμ$（$ i = 0,1,1,2，\ ldots $）正如Boas所说，他的观察似乎是非常出乎意料的。但是，甚至可以将结果扩展到任何实数的多指数序列。此外，我们还可以证明任何多指数有限序列都可以接受类似类型的度量。
R. P. Boas showed that any single-index sequence $\left\{ β_i \right\}_{i=0}^\infty$ of real numbers can be represented as $β_i =\int_0^\infty x^i \, dμ$ ($i=0,1,2,\ldots$), where $μ$ is a signed measure. As Boas said his observation seemed to be quite unexpected; however, it is even possible to extend the result to any multi-index sequence of real numbers. In addition, we can also prove that any multi-index finite sequence admits a measure of a similar type.
