On the positivstellensatz in Weyl’s algebra
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- by Joules Nahas PDF
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Abstract:
We use harmonic analysis tools on the Heisenberg group to prove decay and regularity properties for a certain class of partial differential equations. These properties allow us to relax a technical condition for a sum of squares decomposition for the Weyl algebra.References
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Additional Information
- Joules Nahas
- Affiliation: Department of Mathematics, University of California Santa Barbara, South Hall 6607, Santa Barbara, California 93106
- Email: nahas@math.uesb.edu
- Received by editor(s): October 10, 2008
- Received by editor(s) in revised form: November 9, 2008, and July 8, 2009
- Published electronically: October 21, 2009
- Communicated by: Nigel J. Kalton
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 987-995
- MSC (2010): Primary 47L80
- DOI: https://doi.org/10.1090/S0002-9939-09-10114-4
- MathSciNet review: 2566565