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math.FA2013★ 18 cited
Harmonic analysis on homogeneous complex bounded domains and noncommutative geometry
Pierre Bieliavsky, Victor Gayral, Axel de Goursac +1
We define and study a noncommutative Fourier transform on every homogeneous complex bounded domain. We then give an application in noncommutative differential geometry by defining…
math.OA2013
Dixmier traces and extrapolation description of noncommutative Lorentz spaces
Victor Gayral, Fedor Sukochev
We study the relationships between Dixmier traces, zeta-functions and traces of heat semigroups beyond the dual of the Macaev ideal and in the general context of semifinite von Neu…