Abstract
In this chapter we shall review theWeyl-Hörmander pseudodifferential calculus (see Hörmander [29]; see also Hörmander [27]), in which we shall “embed” the “global” one (see Helffer [17] and Shubin [67]), to be recalled in Section 3.2. In section 3.3 we shall describe a few spectral properties of globally elliptic pseudodifferential operators.
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Parmeggiani, A. (2010). The Weyl–Hörmander Calculus. In: Spectral Theory of Non-Commutative Harmonic Oscillators: An Introduction. Lecture Notes in Mathematics(), vol 1992. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11922-4_3
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DOI: https://doi.org/10.1007/978-3-642-11922-4_3
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