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

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Fundamental Journal of Mathematics and Applications
Volume: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 : 59 | Download : 11

Publication Date : 2020-12-15

Article Type : Research Paper

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 insert ignore into journalissuearticles values(Existence, Uniquenes s, Boundedness, Compactnessi and Finite rank); of these operators and reformulated some know results in terms of wavelet transform insert ignore into journalissuearticles values(covariant and contravariant symbols);.
Keywords : Bounded, Compact and finite rank operators, Covariant and contravariant symbols of operators, Wavelet transformation

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