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math.AP2011
A Noncommutative Residue on Tori and a Semiclassical Limit
Farzad Fathizadeh
We define a noncommutative residue for classical Euclidean pseudodifferential operators on a torus of arbitrary dimension. We prove that, up to multiplication by a constant, it is…
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…