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

 

A pseudo differential operator which shifts the wave front set


Authors: Cesare Parenti and Luigi Rodino
Journal: Proc. Amer. Math. Soc. 72 (1978), 251-257
MSC: Primary 35S05
MathSciNet review: 507317
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Abstract: The note concerns pseudo differential operators in the classes $ L_{\rho ,1}^m,0 < \rho \leqslant 1$. These operators are pseudo-local, but they can displace the wave front set of distributions, as we show by means of an example in $ L_{1,1}^0$.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1978-0507317-9
PII: S 0002-9939(1978)0507317-9
Keywords: Pseudo differential operator, class $ S_{\rho ,\delta }^m$, class $ L_{\rho ,\delta }^m$, pseudo-local operator, wave front set
Article copyright: © Copyright 1978 American Mathematical Society