INVERSIONS OF HERMITE SEMIGROUP

被引：15

作者：

BYUN, DW ^{[1
]}

机构：

[1] GUNMA UNIV,FAC ENGN,DEPT MATH,KIRYU,GUNMA 376,JAPAN

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1993年 / 118卷 / 02期

关键词：

ANALYTIC EXTENSION; ENTIRE FUNCTION; HERMITE POLYNOMIAL; HERMITE SEMIGROUP; INVERSE OF OPERATOR; POSITIVE MATRIX; REPRODUCING KERNEL HILBERT SPACE;

D O I：

10.2307/2160320

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let {e(-cH)\c greater-than-or-equal-to 0} be the Hermite semigroup on the real line R. Then a representation is constructed for inversions of the semigroup, and it gives a representation of e(-cH) for c < 0. Moreover, some characterizations of the domain in which, for c < 0, e(-cH) is well defined are examined.

引用

页码：437 / 445

页数：9

共 10 条

[1]

ANDO T, 1991, KOUKKYU ROKU, V743, P164

[2] THEORY OF REPRODUCING KERNELS [J].