Oblique Dual Fusion Frames. (19th May 2018)
- Record Type:
- Journal Article
- Title:
- Oblique Dual Fusion Frames. (19th May 2018)
- Main Title:
- Oblique Dual Fusion Frames
- Authors:
- Heineken, Sigrid B.
Morillas, Patricia M. - Abstract:
- ABSTRACT: We introduce and develop the concept of oblique duality for fusion frames. This concept provides a mathematical framework to deal with problems in distributed signal processing where the signals considered as elements in a Hilbert space are, under certain requirements, analyzed in one subspace and reconstructed in another subspace. The requirements are, on one side, the uniqueness of the reconstructed signal, and on the other what we call consistency of the sampling for fusion frames. Both conditions are naturally related to oblique projections. We study the main properties of oblique dual fusion frames and oblique dual fusion frame systems introduced in this work and present several results that provide alternative methods for their construction.
- Is Part Of:
- Numerical functional analysis and optimization. Volume 39:Number 7(2018)
- Journal:
- Numerical functional analysis and optimization
- Issue:
- Volume 39:Number 7(2018)
- Issue Display:
- Volume 39, Issue 7 (2018)
- Year:
- 2018
- Volume:
- 39
- Issue:
- 7
- Issue Sort Value:
- 2018-0039-0007-0000
- Page Start:
- 800
- Page End:
- 824
- Publication Date:
- 2018-05-19
- Subjects:
- Consistent reconstruction -- frames -- fusion frames -- oblique dual frames -- oblique dual fusion frames -- oblique projections
Primary 42C15 -- Secondary 42C40, 46C05, 47A05
Functional analysis -- Periodicals
Numerical analysis -- Periodicals
Mathematical optimization -- Periodicals
Numerical Analysis, Computer-Assisted
515.705 - Journal URLs:
- http://www.tandfonline.com/toc/lnfa20/current ↗
http://www.tandfonline.com/ ↗ - DOI:
- 10.1080/01630563.2017.1421555 ↗
- Languages:
- English
- ISSNs:
- 0163-0563
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 6184.692000
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 6432.xml