MRA Parseval Frame Wavelets and Their Multipliers in L2(Rn)
Joint Authors
Xiaohui, Yang
Guochang, Wu
Zhanwei, Liu
Source
Mathematical Problems in Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-08-20
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
We characterize all generalized lowpass filters and multiresolution analysis(MRA) Parseval frame wavelets in L2(Rn) with matrix dilations of the form (Df)(x)=2f(Ax), where A is an arbitrary expanding n×n matrix with integer coefficients, such that |detA|=2.
At first, we study the pseudo-scaling functions, generalized lowpass filters, and multiresolution analysis (MRA) Parseval frame wavelets and give some important characterizations about them.
Then, we describe the multiplier classes associated with Parseval frame wavelets in L2(Rn) and give an example to prove our theory.
American Psychological Association (APA)
Guochang, Wu& Xiaohui, Yang& Zhanwei, Liu. 2009. MRA Parseval Frame Wavelets and Their Multipliers in L2(Rn). Mathematical Problems in Engineering،Vol. 2009, no. 2009, pp.1-17.
https://search.emarefa.net/detail/BIM-475974
Modern Language Association (MLA)
Guochang, Wu…[et al.]. MRA Parseval Frame Wavelets and Their Multipliers in L2(Rn). Mathematical Problems in Engineering No. 2009 (2009), pp.1-17.
https://search.emarefa.net/detail/BIM-475974
American Medical Association (AMA)
Guochang, Wu& Xiaohui, Yang& Zhanwei, Liu. MRA Parseval Frame Wavelets and Their Multipliers in L2(Rn). Mathematical Problems in Engineering. 2009. Vol. 2009, no. 2009, pp.1-17.
https://search.emarefa.net/detail/BIM-475974
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-475974