Title : ( DISTANCE BETWEEN CONTINUOUS FRAMES IN HILBERT SPACE )
Authors: Zahra Amirihafshejani , Rajab Ali Kamyabi Gol ,
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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.
Keywords
, closeness bound, distance between frames, nearness.
@article{paperid:1064472,
author = {Amirihafshejani, Zahra and Kamyabi Gol, Rajab Ali},
title = {DISTANCE BETWEEN CONTINUOUS FRAMES IN HILBERT SPACE},
journal = {Journal of the Korean Mathematical Society},
year = {2017},
volume = {54},
number = {1},
month = {May},
issn = {0304-9914},
pages = {215--225},
numpages = {10},
keywords = {closeness bound; distance between frames; nearness.},
}
%0 Journal Article
%T DISTANCE BETWEEN CONTINUOUS FRAMES IN HILBERT SPACE
%A Amirihafshejani, Zahra
%A Kamyabi Gol, Rajab Ali
%J Journal of the Korean Mathematical Society
%@ 0304-9914
%D 2017
