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
收藏
页码：4582 / 4598
页数：17
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