Smooth operators for the action of SO(3) on L(S)
Integral Equations and Operator Theory, ISSN: 0378-620X, Vol: 28, Issue: 3, Page: 251-260
1997
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Article Description
We define the "signature" of a bounded operator A on L(double-struck S) and prove that A is smooth for the action of SO(3) on L(double-struck S) if and only if its signature is smooth and any finite application of certain differential operators to it yields the signature of a bounded operator. Moreover, we show that the "formal Fourier multipliers with bounded and smoothly variable coefficients" are well denned bounded operators which are SO(3)-smooth.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=0031461718&origin=inward; http://dx.doi.org/10.1007/bf01294153; http://link.springer.com/10.1007/BF01294153; http://www.springerlink.com/index/pdf/10.1007/BF01294153; http://link.springer.com/content/pdf/10.1007/BF01294153; http://link.springer.com/content/pdf/10.1007/BF01294153.pdf; http://link.springer.com/article/10.1007/BF01294153/fulltext.html; http://www.springerlink.com/index/10.1007/BF01294153; https://dx.doi.org/10.1007/bf01294153; https://link.springer.com/article/10.1007%2FBF01294153
Springer Science and Business Media LLC
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