On One Class of Non-Dissipative Operators

被引：0

作者：

Levchuk, V. N. ^{[1
]}

机构：

[1] Poltava Natl Tech Yuri Kondratyuk Univ, 24 Pershotravnevyi Ave, UA-36011 Poltava, Ukraine

来源：

JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY | 2017年 / 13卷 / 02期

关键词：

non-dissipative operator; characteristic function; similarity; functional model;

D O I：

10.15407/mag13.02.173

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The non-dissipative operator of integration is studied in the weight space. Its similarity to the operator of integration in the space without weight is proved. The functional model for this operator is obtained.

引用

页码：173 / 194

页数：22

共 11 条

[1]

Akhiezer N. I., 1990, ELEMENTS THEORY ELLI

[2]

[Anonymous], 1968, HILBERT SPACE ENTIRE

[3]

Coddington E.A., 1955, THEORY ORDINARY DIFF

[4]

Gohberg I.C., 1970, TRANSLATIONS MATH MO, V24

[5] Description of unconditional bases formed by values of the Dunkl kernels [J].

Gubreev, G. M. ;

Levchuk, V. N. .

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2015, 49 (01) :64-66

[6]

Gubreev G. M., 2014, SELECTED WORKS

[7]

Hatamleh R, 2015, J MATH PHYS ANAL GEO, V11, P174

[8]

Hruscev S.V., 1981, Lecture Notes in Mathematics, V864, P214, DOI 10.1007/BFb0097000

[9]

Levin B. Ya., 1997, LECT ENTIRE FUNCTION

[10]

PAVLOV BS, 1979, DOKL AKAD NAUK SSSR+, V247, P37

← 1 2 →