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On the positivstellensatz in Weyl's algebra
Author:
Joules Nahas
Journal:
Proc. Amer. Math. Soc. 138 (2010), 987-995
MSC (2010):
Primary 47L80
Posted:
October 21, 2009
MathSciNet review:
2566565
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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.
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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
DOI:
http://dx.doi.org/10.1090/S0002-9939-09-10114-4
PII:
S 0002-9939(09)10114-4
Received by editor(s):
October 10, 2008
Received by editor(s) in revised form:
November 9, 2008, and July 8, 2009
Posted:
October 21, 2009
Communicated by:
Nigel J. Kalton
Article copyright:
© Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
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