DISTANCE BETWEEN CONTINUOUS FRAMES IN HILBERT SPACE
Year
: 2017
Abstract: In this paper, we study some equivalence relations between
continuous frames in a Hilbert space H. In particular, we seek two necessary and sufficient conditions under which two continuous frames arenear. Moreover, we investigate a distance between continuous frames in
order to acquire the closest and nearest tight continuous frame to a given
continuous frame. Finally, we implement these results for shearlet and
wavelet frames in two examples.
continuous frames in a Hilbert space H. In particular, we seek two necessary and sufficient conditions under which two continuous frames arenear. Moreover, we investigate a distance between continuous frames in
order to acquire the closest and nearest tight continuous frame to a given
continuous frame. Finally, we implement these results for shearlet and
wavelet frames in two examples.
Keyword(s): closeness bound,distance between frames,nearness
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DISTANCE BETWEEN CONTINUOUS FRAMES IN HILBERT SPACE
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| contributor author | زهرا امیری هفشجانی | en |
| contributor author | رجبعلی کامیابی گل | en |
| contributor author | Zahra Amirihafshejani | fa |
| contributor author | Rajab Ali Kamyabi Gol | fa |
| date accessioned | 2020-06-06T13:36:32Z | |
| date available | 2020-06-06T13:36:32Z | |
| date issued | 2017 | |
| identifier uri | https://libsearch.um.ac.ir:443/fum/handle/fum/3361819?locale-attribute=en | |
| description abstract | In this paper, we study some equivalence relations between continuous frames in a Hilbert space H. In particular, we seek two necessary and sufficient conditions under which two continuous frames arenear. Moreover, we investigate a distance between continuous frames in order to acquire the closest and nearest tight continuous frame to a given continuous frame. Finally, we implement these results for shearlet and wavelet frames in two examples. | en |
| language | English | |
| title | DISTANCE BETWEEN CONTINUOUS FRAMES IN HILBERT SPACE | en |
| type | Journal Paper | |
| contenttype | External Fulltext | |
| subject keywords | closeness bound | en |
| subject keywords | distance between frames | en |
| subject keywords | nearness | en |
| journal title | Journal of the Korean Mathematical Society | fa |
| pages | 215-225 | |
| journal volume | 54 | |
| journal issue | 1 | |
| identifier link | https://profdoc.um.ac.ir/paper-abstract-1064472.html | |
| identifier articleid | 1064472 |