Wavelet transforms and discrete frames associated to semidirect products

被引：19

作者：

Aniello, P

Cassinelli, G

De Vito, E

Levrero, A

机构：

[1] Univ Genoa, Dipartimento Fis, INFN, Sez Genova, I-16146 Genoa, Italy

[2] Ist Nazl Fis Nucl, Sez Genova, I-16146 Genoa, Italy

[3] Univ Modena, Dipartimento Matemat, I-41100 Modena, Italy

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1998年 / 39卷 / 08期

关键词：

D O I：

10.1063/1.532479

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider a semidirect product G = R-n X 'H and its unitary representations U of the form Ind(Go)(G)(p(o)m) where Ind is the unitary induction, p(o) is in the dual group of R-n, G(o) is the stability group of p(o), and m is a unitary representation of G(o)boolean AND H. We give sufficient conditions such that U defines a wavelet transform and a discrete frame. (C) 1998 American Institute of Physics. [S0022-2488(98)00208-4].

引用

页码：3965 / 3973

页数：9

共 13 条

[1]

ANIELLO P, 1998, IN PRES REV MATH PHY, V10

[2]

[Anonymous], 1993, Ten Lectures of Wavelets

[3] Wavelets from square-integrable representations [J].