Berezin-toeplitz quantization and complex weyl quantization of the torus t²

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In this paper, we give a correspondence between the Berezin-Toeplitz and the complex Weyl quantizations of the torus T². To achieve this, we use the correspondence between the Berezin-Toeplitz and the complex Weyl quantizations of the complex plane and a relation between the Berezin-Toeplitz quantization of a periodic symbol on the real phase space R² and the Berezin-Toeplitz quantization of a symbol on the torus T².