2020
DOI: 10.48550/arxiv.2003.09413
|View full text |Cite
Preprint
|
Sign up to set email alerts
|

Fibonacci representations of sequences in Hilbert spaces

Abstract: Dynamical sampling deals with frames of the form {T n ϕ} ∞ n=0 , where T ∈ B(H) belongs to certain classes of linear operators and ϕ ∈ H. The purpose of this paper is to investigate a new representation, namely, Fibonacci representation of sequences {fn} ∞ n=1 in a Hilbert space H; having the form fn+2 = T (fn + fn+1) for all n 1 and a linear operator T : span{fn} ∞ n=1 → span{fn} ∞ n=1 . We apply this kind of representations for complete sequences and frames. Finally, we present some properties of Fibonacci r… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

0
0
0

Publication Types

Select...

Relationship

0
0

Authors

Journals

citations
Cited by 0 publications
references
References 9 publications
(6 reference statements)
0
0
0
Order By: Relevance

No citations

Set email alert for when this publication receives citations?