Abstract
We shall review in this chapter some elementary properties of the heat-semigroup associated with a globally elliptic operator, along with its functional calculus and some properties of the Schwartz kernels involved that give rise to the definition of the “trace” of the operator.
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© 2010 Springer-Verlag Berlin Heidelberg
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Parmeggiani, A. (2010). The Heat-Semigroup, Functional Calculus and Kernels. 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_5
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DOI: https://doi.org/10.1007/978-3-642-11922-4_5
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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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