====== Franz Luef ======


===== Biography =====

Franz Luef is an Associate Professor at the Department of Mathematical Sciences since 2014 after postdoctoral positions at the University of Vienna and the University of California at Berkeley. He is a member of the Analysis Group. Franz Luef has a MSc, and a PhD both from the University of Vienna.

His research interests are in noncommutative geometry, time-frequency analysis, pseudodifferential operators, uncertainty principles and deformation quantization. 



===== Affiliation(s) =====

Associate Professor, Department of Mathematical Sciences, Norwegian University of Science and Technology, Norway



===== Wigner-specific research =====
(selection)


  * [[Franz Luef]] and Eirik Skrettingland, [[https://link.springer.com/article/10.1007/s00041-019-09663-3|Mixed-State Localization Operators: Cohen’s Class and Trace Class Operators]], J. Four. Anal. Appl. **25**, 2064 (2019)
  * [[Nuno Costa Dias]], [[Maurice de Gosson]], [[Franz Luef]], and [[João Nuno Prata]], [[https://link.springer.com/article/10.1007/s11868-012-0054-9|Quantum Mechanics in Phase Space: The Schrodinger and the Moyal Representations]], J. Pseudodiff. Oper. Appl. **3**, 367 (2012)
  * [[Maurice de Gosson]] and Serge M. de Gosson, [[https://www.sciencedirect.com/science/article/pii/S0375960111013326?via%3Dihub|Weak values of a quantum observable and the cross-Wigner distribution]], Phys. Lett. A **376**, 293 (2012)
  * [[Nuno Costa Dias]], [[Maurice de Gosson]], [[Franz Luef]], and [[João Nuno Prata]], [[https://www.sciencedirect.com/science/article/pii/S0021782411000912|A Pseudo-Differential Calculus on Non-Standard Symplectic Space; Spectral and Regularity Results in Modulation Spaces]], J. Math. Pur. Appl. **96**, 423 (2011)
  * [[Maurice de Gosson]], [[https://link.springer.com/article/10.1007/s11868-011-0023-8|A transformation property of the Wigner distribution under Hamiltonian symplectomorphisms]], J. Pseudo-Differ. Oper. Appl. **2**, 91 (2011)
  * [[Nuno Costa Dias]], [[Maurice de Gosson]], [[Franz Luef]], and [[João Nuno Prata]], [[https://aip.scitation.org/doi/10.1063/1.3436581|A Deformation Quantization Theory for Noncommutative Quantum Mechanics]], J. Math. Phys. **51**, 072101 (2010)
  * [[Maurice de Gosson]], [[https://www.sciencedirect.com/science/article/pii/S0007449704001095|Cellules quantiques symplectiques et fonctions de Husimi-Wigner]], Bull. Sci. Math. **129**, 211 (2005)


===== Additional information =====

  * [[https://www.ntnu.edu/employees/franz.luef|University Profile]]
  * [[https://folk.ntnu.no/franzl/index.html|Personal Website]]