Abstract
In this chapter we obtain explicit matrix representations for Toeplitz operators on the torus with specific symbols (smooth or discontinuous), and discuss the calculation of asymptotics in the context of general theory.
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References
W. Baily, Jr. Classical theory of Θ-functions. In Algebraic Groups and Discontinuous Subgroups (Proc. Sympos. Pure Math., Boulder, Colo., 1965) pp. 306–311, Amer. Math. Soc., Providence, R.I., 1966.
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Barron, T. (2018). Toeplitz Operators on the Torus. In: Toeplitz Operators on Kähler Manifolds. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-94292-6_4
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DOI: https://doi.org/10.1007/978-3-319-94292-6_4
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