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On the positivstellensatz in Weyl's algebra
Author(s):
Joules
Nahas
Journal:
Proc. Amer. Math. Soc.
MSC (2010):
Primary 47L80
Posted:
October 21, 2009
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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:
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
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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