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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The total symbol of a pseudo-differential operator


Author: Bent E. Petersen
Journal: Proc. Amer. Math. Soc. 30 (1971), 388-392
MSC: Primary 47.70; Secondary 35.00
MathSciNet review: 0288633
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Abstract: This note presents a direct completely coordinate-free proof that the symbols of a pseudo-differential operator are differential operators whose coefficients are functions on the higher order cotangent bundles.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1971-0288633-9
PII: S 0002-9939(1971)0288633-9
Keywords: Pseudo-differential operators, symbol
Article copyright: © Copyright 1971 American Mathematical Society