SUMS OF MATRIX-VALUED WAVE PACKET FRAMES IN L2(Rd, Csxr)

被引：0

作者：

Jyoti ^{[1
]}

Deepshikha ^{[1
]}

Vashisht, Lalit K. ^{[1
]}

Verma, Geetika ^{[2
]}

机构：

[1] Univ Delhi, Dept Math, Delhi 110007, India

[2] Univ South Australia, Sch Informat Technol & Math Sci, Ctr Ind & Appl Math, Adelaide, SA, Australia

来源：

GLASNIK MATEMATICKI | 2018年 / 53卷 / 01期

关键词：

Bessel sequence; frames; wave packet frames;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to first show relations between wave packet frame bounds and the scalars associated with finite sum of matrix-valued wave packet frames for the matrix-valued function space L-2(R-d, C-sxr). A sufficient condition with explicit wave packet frame bounds for finite sum of matrix-valued wave packet frames in terms of scalars and frame bounds associated with the finite sum of frames is given. An optimal estimate of wave packet frame bounds for the finite sum of matrix-valued wave packet frames is presented. In the second part, we show that the rate of convergence of the frame algorithm can be increased by using frame bounds and scalars associated with the finite sum of frames. Finally, a necessary and sufficient condition for finite sum of matrix-valued wave packet frames in terms of series associated with wave packet vectors is given.

引用

页码：153 / 177

页数：25

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