• Complex
  • Title
  • Keyword
  • Abstract
  • Scholars
  • Journal
  • ISSN
  • Conference
搜索

Author:

Li, Yun-Zhang (Li, Yun-Zhang.) (Scholars:李云章) | Xue, Yan-Qin (Xue, Yan-Qin.)

Indexed by:

Scopus SCIE

Abstract:

Let A be a dxd expansive matrix with |detA|=2. An A-wavelet is a function such that is an orthonormal basis for . A measurable function f is called an A-wavelet multiplier if the inverse Fourier transform of is an A-wavelet whenever psi is an A-wavelet, where denotes the Fourier transform of psi. A-scaling function multiplier, A-PFW multiplier, semi-orthogonal A-PFW multiplier, MRA A-wavelet multiplier, MRA A-PFW multiplier and semi-orthogonal MRA A-PFW multiplier are defined similarly. In this paper, we prove that the above seven classes of multipliers are equivalent, and obtain a characterization of them. We then prove that if the set of all A-wavelet multipliers acts on some A-scaling function (A-wavelet, A-PFW, semi-orthogonal A-PFW, MRA A-wavelet, MRA A-PFW, semi-orthogonal MRA A-PFW), the orbit is arcwise connected in , and that if the generator of an orbit is an MRA A-PFW, the orbit is equal to the set of all MRA A-PFWs whose Fourier transforms have same module, and is also equal to the set of all MRA A-PFWs with corresponding pseudo-scaling functions having the same module of their Fourier transforms.

Keyword:

Wavelet Parseval frame wavelet Multiplier

Author Community:

  • [ 1 ] [Li, Yun-Zhang]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Xue, Yan-Qin]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

Reprint Author's Address:

  • 李云章

    [Li, Yun-Zhang]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

Show more details

Related Keywords:

Source :

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS

ISSN: 1069-5869

Year: 2013

Issue: 5

Volume: 19

Page: 1060-1077

1 . 2 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

JCR Journal Grade:2

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count: 1

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 3

Affiliated Colleges:

Online/Total:529/10637828
Address:BJUT Library(100 Pingleyuan,Chaoyang District,Beijing 100124, China Post Code:100124) Contact Us:010-67392185
Copyright:BJUT Library Technical Support:Beijing Aegean Software Co., Ltd.