Covariant and Contravariant Symbols of Operators on $l^{2}(\mathbb{Z})$

Year 2020, Volume: 3 Issue: 2, 116 - 124, 15.12.2020

Abdelhamid S Elmabrok

https://doi.org/10.33401/fujma.718157

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, Uniqueness, 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

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