[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.j150684

DISTANCE BETWEEN CONTINUOUS FRAMES IN HILBERT SPACE

Amiri, Zahra (Department of Pure Mathematics Ferdowsi University of Mashhad)
Kamyabi-Gol, Rajab Ali (Department of Pure Mathematics Ferdowsi University of Mashhad Center of Excellence in Analysis on Algebraic Structures (CEAAS))

Publication Information

Journal of the Korean Mathematical Society / v.54, no.1, 2017 , pp. 215-225 More about this Journal

Abstract

In this paper, we study some equivalence relations between continuous frames in a Hilbert space ${\mathcal{H}}$ . In particular, we seek two necessary and sufficient conditions under which two continuous frames are near. 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;

Citations & Related Records

Reference

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