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Pseudodifferential Operators on Modulation Spaces

✍ Scribed by Demetrio Labate

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
118 KB
Volume
262
Category
Article
ISSN
0022-247X

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✦ Synopsis

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 .

πŸ“œ SIMILAR VOLUMES

The Boundedness of Pseudodifferential Op
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Let R"+ ={([,, . . . , tn)€R": CnsO}. We denote by P the orthogonal projection from L2(Rn) onto L,(R:). By P is denoted the FOURIER transformation in L3( Rn) : Pi([) = J f ( z ) e-z(z\*t)dz . ## Rn We consider the pseudodifferential operator A = PF-IuF acting in the space L,(R'L,), where the sym