Advanced search
Publication Cover
Linear and Multilinear Algebra Volume 65, 2017 - Issue 5
Submit an article Journal homepage
134
Views
13
CrossRef citations to date
0
Altmetric
Articles

The invertibility of fusion frame multipliers

Mitra ShamsabadiDepartment of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.
&
Ali Akbar ArefijamaalDepartment of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.Correspondence[email protected]
Pages 1062-1072 | Received 11 Feb 2016, Accepted 26 Jul 2016, Published online: 06 Sep 2016

References

  • Benedetto J, Pfander G. Frame expansions for Gabor multipliers. Appl. Comput. Harmon Anal. 2006;20:26–40.
  • Balazs P, Laback B, Eckel G, et al. Time-frequency sparsity by removing perceptually irrelevant components using a simple model of simultaneous masking. IEEE Trans. Audio Speech Lang. Process. 2010;18:34–49.
  • Wang D, Brown GJ. Computational auditory scene analysis, principles, algorithms, and applications. New York (NY): Wiley-IEEE Press; 2006.
  • Majdak P, Balazs P, Kreuzer W, et al. A time-frequency method for increasing the signal-to-noise ratio in system identification with exponential sweeps. In: ICASSP 2011; Prague, Czech Republic; 2011. p. 3812–3815.
  • Depalle P, Kronland-Martinet R, Torrsani B. Time-frequency multipliers for sound synthesis. In: Proceedings of the Wavelet XII Conference, SPIE Annual Symposium. San Diego; 2007.
  • Matz G, Hlawatsch F. Linear time-frequency filters: on-line algorithms and applications. In: Papandreou-Suppappola A, editor. Application in time-frequency signal processing. Boca Raton (FL): CRC Press; 2002. 205–271.
  • Balazs P, Stoeva DT. Representation of the inverse of a frame multiplier. J. Math. Anal. Appl. 2015;422:981–994.
  • Arias ML, Pacheco M. Bessel fusion multipliers. J. Math. Anal. Appl. 2008;348:581–588.
  • Balazs P. Basic definition and properties of Bessel multipliers. J. Math. Anal. Appl. 2007;325:571–585.
  • Stoeva DT, Balazs P. Invertibility of multipliers. Appl. comput. Harmon Anal. 2012;33:292–299.
  • Cassaza PG, Kutyniok G. Frames of subspaces. Contemp. Math. 2004;345:87–113.
  • Cassaza PG, Kutyniok G, Li S. Fusion frames and distributed processing. Appl. Comput. Harmon Anal. 2008;25:114–132.
  • Gǎvruţa P. On the duality of fusion frames. J. Math. Anal. Appl. 2007;333:871–879.
  • Heineken SB, Morillas PM, Benavente AM, et al. Dual fusion frame. Arch. Math. 2014;103:355–365.
  • Kutyniok G, Victoria P, Friedrich P. The effect of perturbations of frame sequences and fusion frames on their duals. Forthcoming 2015. arXiv:1509.04160.
  • Arefijamaal A, Arabyani F. Some properties of dual and approximate dual of fusion frames. Forthcoming 2016. arXiv:1601.03024.
  • Rahimi A, Balazs P. Multipliers for p-Bessel sequence in Banach spaces. Integral Equ. Oper. Theory. 2010;68:193–205.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.