ABSOLUTE CONTINUITY OF THE REPRESENTING MEASURES OF THE HYPERGEOMETRIC TRANSLATION OPERATORS ATTACHED TO THE ROOT SYSTEM OF TYPE B-2 AND C-2

被引：0

作者：

Trimeche, Khalifa ^{[1
]}

机构：

[1] Univ Tunis El Manar, Dept Math, Fac Sci Tunis, Tunis 2092, Tunisia

来源：

KOREAN JOURNAL OF MATHEMATICS | 2014年 / 22卷 / 04期

关键词：

Hypergeometric translation operators; Absolute continuity of the representing measures; Cherednik operators; Heckman-Opdam theory;

D O I：

10.11568/kjm.2014.22.4.711

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove in this paper the absolute continuity of the representing measures of the hypergeometric translation operators T-x and T-x(W) associated respectively to the Cherednik operators and the Heckman-Opdam theory attached to the root system of type B-2 and C-2 which are studied in [9].

引用

页码：711 / 723

页数：13

共 9 条

[1]

Bourbaki N., 1967, ELEMENTS MATH FASCUL

[2] A UNIFICATION OF KNIZHNIK-ZAMOLODCHIKOV AND DUNKL OPERATORS VIA AFFINE HECKE ALGEBRAS [J].

CHEREDNIK, I .

INVENTIONES MATHEMATICAE, 1991, 106 (02) :411-431

[3]

HECKMAN G., 1994, PERSPECT MATH, V16

[4]

HECKMAN GJ, 1987, COMPOS MATH, V64, P329

[5] HARMONIC-ANALYSIS FOR CERTAIN REPRESENTATIONS OF GRADED HECKE ALGEBRAS [J].

OPDAM, EM .

ACTA MATHEMATICA, 1995, 175 (01) :75-121

[6]

Rudin W., 1974, REAL COMPLEX ANAL

[7] Contributions to the hypergeometric function theory of Heckman and Opdam: Sharp estimates, Schwartz space, heat kernel [J].

Schapira, Bruno .

GEOMETRIC AND FUNCTIONAL ANALYSIS, 2008, 18 (01) :222-250

[8] THE POSITIVITY OF THE HYPERGEOMETRIC TRANSLATION OPERATORS ASSOCIATED TO THE CHEREDNIK OPERATORS AND THE HECKMAN-OPDAM THEORY ATTACHED TO THE ROOT SYSTEMS OF TYPE B-2 AND C-2 [J].

Trimeche, Khalifa .

KOREAN JOURNAL OF MATHEMATICS, 2014, 22 (01) :1-28

[9] Harmonic analysis associated with the Cherednik operators and the Heckman-Opdam theory [J].

Trimeche, Khalifa .

ADVANCES IN PURE AND APPLIED MATHEMATICS, 2011, 2 (01) :23-46

← 1 →