- Fundamental Journal of Mathematics and Applications
- Vol: 3 Issue: 2
- Covariant and Contravariant Symbols of Operators on $l^{2}(\mathbb{Z})$
Covariant and Contravariant Symbols of Operators on $l^{2}(\mathbb{Z})$
Authors : Abdelhamid S Elmabrok
Pages : 116-124
Doi:10.33401/fujma.718157
View : 16 | Download : 12
Publication Date : 2020-12-15
Article Type : Research
Abstract :In this paper, we investigate covariant and contravariant symbols of operators generated by a representation of the integer group $\mathbb{Z}$. Then we describe some properties (Existence, Uniquenes s, Boundedness, Compactnessi and Finite rank) of these operators and reformulated some know results in terms of wavelet transform (covariant and contravariant symbols). Keywords : Bounded, Compact and finite rank operators, Covariant and contravariant symbols of operators, Wavelet transformation