Abstract
In this chapter we shall describe some tools from Semiclassical Analysis, that will be used in the subsequent chapters to obtain localization properties of the large eigenvalues of an elliptic positive NCHO Qw (α,β)(x,D), and more generally of an elliptic positive NCHO (with no sub-principal term), relating them to properties of the periods of the bicharacteristics of the (principal) symbol.
Keywords
- Essential Spectrum
- Unbounded Operator
- Principal Symbol
- Classical Symbol
- Semiclassical Analysis
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© 2010 Springer Berlin Heidelberg
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Parmeggiani, A. (2010). Some Tools from the Semiclassical 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_9
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DOI: https://doi.org/10.1007/978-3-642-11922-4_9
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-11921-7
Online ISBN: 978-3-642-11922-4
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