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Journal of Mathematical Analysis and Applications
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Journal of Mathematical Analysis and Applications
Article . 2001
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http://dx.doi.org/10.1006/jmaa...
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Journal of Mathematical Analysis and Applications
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Pseudodifferential Operators on Modulation Spaces

Pseudodifferential operators on modulation spaces
descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 2001 English Publisher:Elsevier BVJournal:Journal of Mathematical Analysis and Applications, volume 262, pages 242-255 (issn: 0022-247X, Copyright policy )
Authors: Labate, Demetrio;

doi: 10.1006/jmaa.2001.7566

Pseudodifferential Operators on Modulation Spaces

Abstract

Pseudodifferential operators on modulation spaces are considered. The author gives a fundamental connection between certain classes of pseudodifferential operators and Hille-Tamarkin operators. As an application, compactness and summability of the eigenvalues of pseudodifferential operators acting on the modulation spaces is studied.

Related Organizations
Keywords

Applied Mathematics, Hille-Tamarkin operators, Pseudodifferential operators as generalizations of partial differential operators, pseudodifferential operators on modulation spaces, compactness, Pseudodifferential operators, Analysis, summability of the eigenvalues

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
36
Top 10%
Top 10%
Average
hybrid