We establish a connection between certain classes of pseudodifferential operators and HilleαTamarkin operators. As an application, we find the conditions that guarantee compactness and summability of the eigenvalues of pseudodifferential operators acting on the modulation spaces M p, p .
The Boundedness of Pseudodifferential Operators on Modulation Spaces
β Scribed by Kazuya Tachizawa
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 539 KB
- Volume
- 168
- Category
- Article
- ISSN
- 0025-584X
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β¦ Synopsis
Abstract
We give a characterization of dβdimensional modulation spaces with moderate weights by means of the dβdimensional Wilson basis. As an application we prove that pseudodifferential operators with generalized Weyl symbols are bounded on these modulation spaces.
π SIMILAR VOLUMES
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