向量函数空间中奇异微分算子特征值的分布

Q2 Mathematics

Transactions of the Moscow Mathematical Society Pub Date : 2014-11-06 DOI:10.1090/S0077-1554-2014-00238-7

N. Valeev, É. A. Nazirova, Ya. T. Sultanaev

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引用次数: 1

摘要

．莱维坦的科学活动的一个重要部分是处理微分算子[1]的特征值分布问题。为了研究光谱密度，他主要使用了卡尔曼的方法，并对其进行了完善。作为一个规则，他考虑标量微分算子。本文的目的是研究向量函数空间中微分算子的谱密度。本文由两部分组成。第一部分研究了一类四阶微分算子的渐近性

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Distribution of the eigenvalues of singular differential operators in a space of vector-functions

. A signiﬁcant part of B. M. Levitan’s scientiﬁc activity dealt with questions on the distribution of the eigenvalues of diﬀerential operators [1]. To study the spectral density, he mainly used Carleman’s method, which he perfected. As a rule, he considered scalar diﬀerential operators. The purpose of this paper is to study the spectral density of diﬀerential operators in a space of vector-functions. The paper consists of two sections. In the ﬁrst we study the asymptotics of a fourth-order diﬀerential operator

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Transactions of the Moscow Mathematical Society Mathematics-Mathematics (miscellaneous)

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期刊介绍： This journal, a translation of Trudy Moskovskogo Matematicheskogo Obshchestva, contains the results of original research in pure mathematics.