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Modulation spaces and pseudodifferential operators

✍ Scribed by Karlheinz Gröchenig; Christopher Heil

Publisher
SP Birkhäuser Verlag Basel
Year
1999
Tongue
English
Weight
767 KB
Volume
34
Category
Article
ISSN
0378-620X

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📜 SIMILAR VOLUMES

The Boundedness of Pseudodifferential Op
The Boundedness of Pseudodifferential Operators on Modulation Spaces
✍ Kazuya Tachizawa 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 539 KB

## Abstract We give a characterization of __d__‐dimensional modulation spaces with moderate weights by means of the __d__‐dimensional Wilson basis. As an application we prove that pseudodifferential operators with generalized Weyl symbols are bounded on these modulation spaces.

Pseudodifferential Operators on Modulati
Pseudodifferential Operators on Modulation Spaces
✍ Demetrio Labate 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 118 KB

We establish a connection between certain classes of pseudodifferential operators and Hille᎐Tamarkin 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 .

Boundedness of pseudodifferential operat
Boundedness of pseudodifferential operators on modulation spaces
✍ Wojciech Czaja 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 94 KB

We study classes of pseudodifferential operators which are bounded on large collections of modulation spaces. The conditions on the operators are stated in terms of the L p,q estimates for the continuous Gabor transforms of their symbols. In particular, we show how these classes are related to the c