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math.AP2011★ 1 cited
A Two Dimensional Adler-Manin Trace and Bi-singular Operators
Farzad Fathizadeh, Masoud Khalkhali, Fabio Nicola +1
Motivated by the theory of bi-singular pseudodifferential operators, we introduce a two dimensional version of the Adler-Manin trace. Our construction is rather general in the sens…
math.CA2011
Global regularity for ordinary differential operators with polynomial coefficients
Fabio Nicola, Luigi Rodino
For a class of ordinary differential operators with polynomial coefficients, we give a necessary and sufficient condition for to be globally regular in , i.e. $u\in\cS^…
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…