The spectral radius of a certain parametric family of functional operators

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2020-10-01 DOI:10.1070/RM9967

N. B. Zhuravlev, L. Rossovskii

引用次数: 0

Abstract

K e−ihξ dν(h) is the characteristic function of the measure ν. It was also shown that when (2) fails, there can be an infinite-dimensional kernel in this problem. The problem (1) is a natural generalization of boundary-value problems for elliptic differential-difference equations [5], [6] and functional-differential equations with contracted/extended independent variables [2], [3]. We note a connection between (possibly degenerate) elliptic functional-differential operators and Kato’s well-known problem of the square root of a regular accretive operator [6], [7].

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某参数泛函算子族的谱半径

K e−ihξ dν(h)是测度ν的特征函数。还表明，当(2)失效时，该问题可能存在一个无限维核。问题(1)是椭圆型微分-差分方程[5]，[6]和具有收缩/扩展自变量[2]，[3]的泛函-微分方程边值问题的自然推广。我们注意到(可能退化的)椭圆函数微分算子和加托著名的正则加积算子[6]，[7]的平方根问题之间的联系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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