Description of unconditional bases formed by values of the Dunkl kernels

被引：2

作者：

Gubreev, G. M. ^{[1
]}

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

机构：

[1] Poltava Natl Tech Univ, Poltava, Ukraine

来源：

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2015年 / 49卷 / 01期

关键词：

Dunkl transform; unconditional basis; non-self-adjoint operator; entire function; PALEY-WIENER THEOREMS; TRANSFORM; OPERATORS;

D O I：

10.1007/s10688-015-0085-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Unconditional bases of the form {d (alpha)(i lambda(n)l) : lambda(n) is an element of Lambda} in the space L-2(-a, a) with measure vertical bar x vertical bar(gamma) dx, gamma = 2 alpha + 1, are described. Here d(alpha)(ixt) is the Dunkl kernel determined by d(alpha)(z) = 2(alpha)Gamma(alpha + 1)z(-alpha)(J(alpha)(z) + iJ(alpha+1)(z)), alpha > -1, where J(alpha) is the Bessel function of the first kind.

引用

页码：64 / 66

页数：3

共 8 条

[1]

Andersen NB, 2005, INT MATH RES NOTICES, V2005, P1817

[2] Paley-Wiener theorems for the Dunkl transform [J].