Lower bounds for pseudo-differential operators
N. Lerner, J. Nourrigat (1989-1990)
Séminaire Équations aux dérivées partielles (Polytechnique)
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N. Lerner, J. Nourrigat (1989-1990)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Surjit Singh (1974)
Rendiconti del Seminario Matematico della Università di Padova
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Nicolas Lerner, Jean Nourrigat (1990)
Annales de l'institut Fourier
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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.
K. Orlov, M. Stojanović (1974)
Matematički Vesnik
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H. B. Potoczny (1984)
Matematički Vesnik
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Charles Fefferman, D. H. Phong (1981)
Journées équations aux dérivées partielles
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Jonathan Kirby (2016)
Fundamenta Mathematicae
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We show that the field of rational numbers is not definable by a universal formula in Zilber's pseudo-exponential field.
Victor Ivrii (1991)
Journées équations aux dérivées partielles
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Jaber, Ameer (2008)
International Journal of Mathematics and Mathematical Sciences
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Rajab Ali Borzooei, Arsham Borumand Saeid, Akbar Rezaei, Akefe Radfar, Reza Ameri (2013)
Discussiones Mathematicae - General Algebra and Applications
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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. ...