publication . Preprint . 2016

Some properties of dual and approximate dual of fusion frames

Arefijamaal, Ali Akbar; Neyshaburi, Fahimeh Arabyani;
Open Access English
  • Published: 12 Jan 2016
In this paper we extend the notion of approximate dual to fusion frames and present some approaches to obtain dual and approximate alternate dual fusion frames. Also, we study the stability of dual and approximate alternate dual fusion frames.
arXiv: Physics::Plasma Physics
free text keywords: Mathematics - Representation Theory, 42C15
Download from
16 references, page 1 of 2

1. Z. Amiri, M. A. Dehghan and E. Rahimi, Subfusion frames. Abstr. Appl. Anal. 2012 (2012), 1-12.

2. A. A. Arefijamaal, F. Arabyani and M. Shamsabadi, Opposite relationships between fusion frames and their duals, Submitted.

3. M. S. Asgari, On the Riesz fusion bases in Hilbert spaces, Egypt. Math. Soc. 21 (2013), 79-86.

4. P. G. Casazza and G. Kutyniok and M. C. Lammers, Duality principles in frame theory, J. Fourier Anal. Appl. 10(4) (2004) 383-408. [OpenAIRE]

5. P. G. Casazza, G. Kutyniok, Frames of subspaces, Contemp. Math. 345 (2004), 87- 114.

6. P. G. Casazza, G. Kutyniok and S. Li, Fusion frames and distributed processing, Appl. Comput. Harmon. Anal. 25 (1) (2008), 114-132. [OpenAIRE]

7. O. Christensen, R. S. Laugesen, Approximately dual frames in Hilbert spaces and applications to Gabor frames, Sampl. Theory Signal Image Process. 9 (3) (2010), 77-89.

8. O. Christensen, Frames and Bases: An Introductory Course, Birkh¨auser, Boston, 2008.

9. M. Fornasier, Decompositions of Hilbert space: Local construction of Global frames, Proc. Int. Conf. On constructive function theory, Varna (2002) B. Bojanov Ed. DARBA, Sofia (2003), 275-281.

10. G˘avru¸ta, P. On the duality of fusion frames, J. Math. Anal. Appl. 333 (2), 871-879, 2007.

11. S. B. Heineken, P. M. Morillas, Properties of finite dual fusion frames, Linear Algebra Appl. 453 (2014), 1-27. [OpenAIRE]

12. S. B. Heineken, P. M. Morillas, A. M. Benavente, M. I. Zakowicz, Dual fusion frames, Arch. Math. 103 (2014), 355-365.

13. S. S. Iyengar, R. R. Brooks, Eds, Distributed sensor networks, Chapman, Boston Rouge, La, USA, 2005.

14. A. Khosravi, M. Mirzaee Azandaryani, Approximate duality of g-frames in Hilbert spaces, Acta Math. Sci. Ser. B Engl. Ed. 34 (3) (2014), 639-652.

15. J. Leng, Q. Gue, and T. Huang, The duals of fusion frames for experimental data transmission coding of energy physics, Hindawi. Publ. Corp. 2013 (2013), 1-9.

16 references, page 1 of 2
Powered by OpenAIRE Open Research Graph
Any information missing or wrong?Report an Issue