Lower bounds for pseudo-differential operators
N. Lerner, J. Nourrigat (1989-1990)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Displaying similar documents to “Microlocal Normal Forms for the Magnetic Laplacian”
Lower bounds for pseudo-differential operators
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Lower bounds for pseudo-differential operators
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This paper contains some new results on lower bounds for pseudo-differential operators whose symbols do not remain positive. Non-negativity of averages of the symbol on canonical images of the unit ball is sufficient to get a Gårding type inequality for Schrödinger operators with magnetic potential and one dimensional pseudo-differential operators.
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On pseudo BE-algebras
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In this paper, we introduce the notion of pseudo BE-algebra which is a generalization of BE-algebra. We define the concepts of pseudo subalgebras and pseudo filters and prove that, under some conditions, pseudo subalgebra can be a pseudo filter. We prove that every homomorphic image and pre-image of a pseudo filter is also a pseudo filter. Furthermore, the notion of pseudo upper sets in pseudo BE-algebras introduced and is proved that every pseudo filter is an union of pseudo upper sets. ...