Abstract
We recall in a more natural manner the description of the formal norm for pseudo-differential operators introduced by us in 1967 and show how this can be used to simplify a recent construction of star-exponentials.
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References
Boutet de Monvel L. and Krée P. (1967). Pseudo-differential operators and Gevrey classes. Ann. Inst. Fourier (Grenoble) 17(fasc. 1): 295–323
Boutet de Monvel, L.: Related semi-classical and Toeplitz algebras. In: Deformation quantization (Strasbourg, 2001). IRMA Lect. Math. Theor. Phys., vol. 1, pp. 163–190. De Gruyter, Berlin (2002)
Dito G. and Schapira P. (2007). An algebra of deformation quantization for star-exponentials on complex symplectic manifolds. Commun. Math. Phys. 273(2): 395–414
Sato, M., Kawai, T., Kashiwara, M.: Microfunctions and pseudo-differential equations. In: Hyperfunctions and Pseudo-differential Equations (Proc. Conf., Katata, 1971; dedicated to the memory of André Martineau), Lecture Notes in Mathematics, vol. 287, pp. 265–529. Springer, Berlin (1973)
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Boutet de Monvel, L. Formal Norms and Star-Exponentials. Lett Math Phys 83, 213–216 (2008). https://doi.org/10.1007/s11005-008-0227-x
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DOI: https://doi.org/10.1007/s11005-008-0227-x