The Operator Group Generated by the One-dimensional Dirac System

被引：0

作者：

Savchuk, A. M. ^{[1
]}

Sadovnichaya, I. V. ^{[1
]}

机构：

[1] Lomonosov Moscow State Univ, Moscow 119991, Russia

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2024年 / 45卷 / 09期

关键词：

Dirac operator; summable potential; operator group; equivalent bases; SPECTRAL DECOMPOSITIONS; EQUICONVERGENCE;

D O I：

10.1134/S1995080224605174

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we construct a strongly continuous operator group generated by a one-dimensional Dirac operator acting in the space H = (L-2[0, pi])(2). The potential is assumed to be summable. It is proved that this group is well-defined in the space H and in the spaces (L-mu[0, pi])(2), mu is an element of(1, infinity). In addition, we discuss estimates for the growth of the group as |t| -> +infinity.

引用

页码：4582 / 4598

页数：17

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