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math.FA2011★ 1 cited
Embeddings of -modulation spaces
Joachim Toft, Patrik Wahlberg
We show upper and lower embeddings of -modulation spaces in -modulation spaces for , and prove partial results on the sharpness of the embeddi…
math.FA2011
Representations of almost periodic pseudodifferential operators and applications in spectral theory
Patrik Wahlberg
The paper concerns algebras of almost periodic pseudodifferential operators on with symbols in Hörmander classes. We study three representations of such algebras, one…
math.FA2011
Almost periodic pseudodifferential operators and Gevrey classes
Alessandro Oliaro, Luigi Rodino, Patrik Wahlberg
We study almost periodic pseudodifferential operators acting on almost periodic functions $G_{\rm ap}^s(\rr d)$ of Gevrey regularity index . We prove that almost periodic…