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Author:

Li, Yun-Zhang (Li, Yun-Zhang.) (Scholars:李云章) | Wang, Bo-Yang (Wang, Bo-Yang.)

Indexed by:

Scopus SCIE

Abstract:

Structured frames in L-2(R), such as wavelet and Gabor frames, have been extensively studied. But the analysis on L-2(R+) with R+ = (0, infinity) has been rarely reported. It is because R is a group under addition but R+ is not. This results in L-2(R+) admitting no traditional wavelet or Gabor frames. Recently, the concept of F-a-frame in L-2(R+) was introduced and studied. In this paper, we present some identities and inequalities for F-a-frame sequences in L-2(R+).

Keyword:

Frame F-a-frame Parseval frame sequence Frame sequence F-a-frame sequence Parseval F-a-frame sequence

Author Community:

  • [ 1 ] [Li, Yun-Zhang]Beijing Univ Technol, Coll Math, Fac Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Wang, Bo-Yang]Beijing Univ Technol, Coll Math, Fac Sci, Beijing 100124, Peoples R China

Reprint Author's Address:

  • 李云章

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

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Source :

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY

ISSN: 0126-6705

Year: 2021

Issue: 1

Volume: 45

Page: 217-244

1 . 2 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:31

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 7

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