多中心演算与Riesz投影
Multicentric calculus and the Riesz projection
摘要：
在多中心全纯微积分中，人们用一个新的多项式变量$w=p(z)$来表示函数$φ$，使得当它在算子$A,$上求值时，$p(A)$的范数很小。通常假定$p$具有不同的根。本文讨论了两个相关的问题：用多项式双纽线将紧集（如谱）分解为不同分量，分别讨论了微积分在Riesz谱投影计算和估计中的应用。然后，可能需要使用$p(z)^n$作为新变量。我们还开发了必要的修改，将多重根。
英文摘要：
In multicentric holomorphic calculus one represents the function $φ$ using a new polynomial variable $w=p(z)$ in such a way that when it is evaluated at the operator $A,$ then $p(A)$ is small in norm. Usually it is assumed that $p$ has distinct roots. In this paper we discuss two related problems, the separation of a compact set (such as the spectrum) into different components by a polynomial lemniscate, respectively the application of the Calculus to the computation and the estimation of the Riesz spectral projection. It may then become desirable the use of $p(z)^n$ as a new variable. We also develop the necessary modifications to incorporate the multiplicities in the roots.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
