Franz Luef
About
Franz Luef is a Professor at the Department of Mathematical Sciences since 2020 and was an Associate Professor 2014 - 2019 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 Univeristy of Vienna.
His research interests are in noncommutative geometry, time-frequency analysis, pseudodifferential operators, uncertainty principles and deformation quantization.
Competencies
Publications
2022
- Berge, Eirik; Berge, Stine Marie; Luef, Franz. (2022) The affine Wigner distribution. Applied and Computational Harmonic Analysis. volum 56.
- Berge, Stine Marie; Skrettingland, Eirik; Luef, Franz; Berge, Eirik. (2022) Affine quantum harmonic analysis. Journal of Functional Analysis. volum 282 (4).
- Dias, Nuno Costa; Luef, Franz; Prata, Joao Nuno. (2022) Uncertainty principle via variational calculus on modulation spaces. Journal of Functional Analysis. volum 283 (8).
- Enstad, Ulrik Bo Rufus; Jakobsen, Mads Sielemann; Luef, Franz; Omland, Tron. (2022) Deformations and Balian-Low theorems for Gabor frames on the adeles. Advances in Mathematics. volum 410.
- Luef, Franz; Berge, Eirik. (2022) A large scale approach to decomposition spaces. Studia Mathematica. volum 265.
2021
- Austad, Are; Luef, Franz. (2021) Modulation spaces as a smooth structure in noncommutative geometry. Banach Journal of Mathematical Analysis. volum 15.
- Dabrowski, Ludwik; Jakobsen, Mads Sielemann; Landi, Giovanni; Luef, Franz. (2021) Solitons of general topological charge over noncommutative tori. Reviews in Mathematical Physics. volum 33 (4).
- Keller, Johannes; Luef, Franz. (2021) Polyanalytic Toeplitz Operators: Isomorphisms, Symbolic Calculus and Approximation of Weyl Operators. Journal of Fourier Analysis and Applications. volum 27.
- Luef, Franz; Skrettingland, Eirik. (2021) A Wiener Tauberian theorem for operators and functions. Journal of Functional Analysis. volum 280 (6).
2020
- Austad, Are; Jakobsen, Mads Sielemann; Luef, Franz. (2020) Gabor duality theory for Morita equivalent C*-algebras. International Journal of Mathematics. volum 31 (10).
- Balan, Radu; Dutkay, Dorin; Han, Deguang; David, Larson; Luef, Franz. (2020) A Duality Principle for Groups II: Multi-frames Meet Super-Frames. Journal of Fourier Analysis and Applications. volum 26 (83).
- Jakobsen, Mads Sielemann; Luef, Franz. (2020) Duality of Gabor frames and Heisenberg modules. Journal of Noncommutative Geometry.
- Kang, Sooran; Luef, Franz; Judith, Packer. (2020) Yang-Mills connections on quantum Heisenberg manifolds. Journal of Mathematical Analysis and Applications. volum 483 (1).
2019
- Chakraborty, Sayan; Luef, Franz. (2019) Metaplectic transformations and finite group actions on noncommutative tori. Journal of operator theory. volum 82 (1).
- de Gosson, Maurice; Luef, Franz. (2019) Moyal bracket and ehrenfest’s theorem in born–jordan quantization. Quantum Reports. volum 1 (1).
- Enstad, Ulrik Bo Rufus; Jakobsen, Mads Sielemann; Luef, Franz. (2019) Time-frequency analysis on the adeles over the rationals. Comptes rendus. Mathematique. volum 357 (2).
- Jakobsen, Mads Sielemann; Luef, Franz. (2019) Sampling and periodization of generators of Heisenberg modules. International Journal of Mathematics. volum 30 (10).
- Luef, Franz; Skrettingland, Eirik. (2019) Mixed-State Localization Operators: Cohen’s Class and Trace Class Operators. Journal of Fourier Analysis and Applications. volum 25 (4).
- Luef, Franz; Skrettingland, Eirik. (2019) On Accumulated Cohen's Class Distributions and Mixed-State Localization Operators. Constructive approximation. volum 52 (1).
2018
- Luef, Franz. (2018) The Balian–Low theorem and noncommutative tori. Expositiones mathematicae. volum 36 (2).
- Luef, Franz; Skrettingland, Eirik. (2018) Convolutions for Berezin quantization and Berezin-Lieb inequalities. Journal of Mathematical Physics. volum 59 (2).
- Luef, Franz; Skrettingland, Eirik. (2018) Convolutions for localization operators. Journal des Mathématiques Pures et Appliquées. volum 118.
2015
- Dabrowski, Ludwik; Landi, Giovanni; Luef, Franz. (2015) Sigma-model solitons on noncommutative spaces. Letters in Mathematical Physics. volum 105 (12).
- de Gosson, Maurice A.; Luef, Franz. (2015) Born–Jordan pseudodifferential calculus, Bopp operators and deformation quantization. Integral equations and operator theory. volum Published ahead of print (84).
2014
- de Gosson, Maurice; Luef, Franz. (2014) Metaplectic group, symplectic Cayley transform, and fractional Fourier transforms. Journal of Mathematical Analysis and Applications. volum 416 (2).
2012
- Dias, Nuno Costa; de Gosson, Maurice; Luef, Franz; Prata, Joao Nuno. (2012) Quantum mechanics in phase space: the Schrödinger and the Moyal representations. Journal of Pseudo-Differential Operators and Applications. volum 3 (4).
Journal publications
- Berge, Eirik; Berge, Stine Marie; Luef, Franz. (2022) The affine Wigner distribution. Applied and Computational Harmonic Analysis. volum 56.
- Berge, Stine Marie; Skrettingland, Eirik; Luef, Franz; Berge, Eirik. (2022) Affine quantum harmonic analysis. Journal of Functional Analysis. volum 282 (4).
- Dias, Nuno Costa; Luef, Franz; Prata, Joao Nuno. (2022) Uncertainty principle via variational calculus on modulation spaces. Journal of Functional Analysis. volum 283 (8).
- Enstad, Ulrik Bo Rufus; Jakobsen, Mads Sielemann; Luef, Franz; Omland, Tron. (2022) Deformations and Balian-Low theorems for Gabor frames on the adeles. Advances in Mathematics. volum 410.
- Luef, Franz; Berge, Eirik. (2022) A large scale approach to decomposition spaces. Studia Mathematica. volum 265.
- Austad, Are; Luef, Franz. (2021) Modulation spaces as a smooth structure in noncommutative geometry. Banach Journal of Mathematical Analysis. volum 15.
- Dabrowski, Ludwik; Jakobsen, Mads Sielemann; Landi, Giovanni; Luef, Franz. (2021) Solitons of general topological charge over noncommutative tori. Reviews in Mathematical Physics. volum 33 (4).
- Keller, Johannes; Luef, Franz. (2021) Polyanalytic Toeplitz Operators: Isomorphisms, Symbolic Calculus and Approximation of Weyl Operators. Journal of Fourier Analysis and Applications. volum 27.
- Luef, Franz; Skrettingland, Eirik. (2021) A Wiener Tauberian theorem for operators and functions. Journal of Functional Analysis. volum 280 (6).
- Austad, Are; Jakobsen, Mads Sielemann; Luef, Franz. (2020) Gabor duality theory for Morita equivalent C*-algebras. International Journal of Mathematics. volum 31 (10).
- Balan, Radu; Dutkay, Dorin; Han, Deguang; David, Larson; Luef, Franz. (2020) A Duality Principle for Groups II: Multi-frames Meet Super-Frames. Journal of Fourier Analysis and Applications. volum 26 (83).
- Jakobsen, Mads Sielemann; Luef, Franz. (2020) Duality of Gabor frames and Heisenberg modules. Journal of Noncommutative Geometry.
- Kang, Sooran; Luef, Franz; Judith, Packer. (2020) Yang-Mills connections on quantum Heisenberg manifolds. Journal of Mathematical Analysis and Applications. volum 483 (1).
- Chakraborty, Sayan; Luef, Franz. (2019) Metaplectic transformations and finite group actions on noncommutative tori. Journal of operator theory. volum 82 (1).
- de Gosson, Maurice; Luef, Franz. (2019) Moyal bracket and ehrenfest’s theorem in born–jordan quantization. Quantum Reports. volum 1 (1).
- Enstad, Ulrik Bo Rufus; Jakobsen, Mads Sielemann; Luef, Franz. (2019) Time-frequency analysis on the adeles over the rationals. Comptes rendus. Mathematique. volum 357 (2).
- Jakobsen, Mads Sielemann; Luef, Franz. (2019) Sampling and periodization of generators of Heisenberg modules. International Journal of Mathematics. volum 30 (10).
- Luef, Franz; Skrettingland, Eirik. (2019) Mixed-State Localization Operators: Cohen’s Class and Trace Class Operators. Journal of Fourier Analysis and Applications. volum 25 (4).
- Luef, Franz; Skrettingland, Eirik. (2019) On Accumulated Cohen's Class Distributions and Mixed-State Localization Operators. Constructive approximation. volum 52 (1).
- Luef, Franz. (2018) The Balian–Low theorem and noncommutative tori. Expositiones mathematicae. volum 36 (2).
- Luef, Franz; Skrettingland, Eirik. (2018) Convolutions for Berezin quantization and Berezin-Lieb inequalities. Journal of Mathematical Physics. volum 59 (2).
- Luef, Franz; Skrettingland, Eirik. (2018) Convolutions for localization operators. Journal des Mathématiques Pures et Appliquées. volum 118.
- Dabrowski, Ludwik; Landi, Giovanni; Luef, Franz. (2015) Sigma-model solitons on noncommutative spaces. Letters in Mathematical Physics. volum 105 (12).
- de Gosson, Maurice A.; Luef, Franz. (2015) Born–Jordan pseudodifferential calculus, Bopp operators and deformation quantization. Integral equations and operator theory. volum Published ahead of print (84).
- de Gosson, Maurice; Luef, Franz. (2014) Metaplectic group, symplectic Cayley transform, and fractional Fourier transforms. Journal of Mathematical Analysis and Applications. volum 416 (2).
- Dias, Nuno Costa; de Gosson, Maurice; Luef, Franz; Prata, Joao Nuno. (2012) Quantum mechanics in phase space: the Schrödinger and the Moyal representations. Journal of Pseudo-Differential Operators and Applications. volum 3 (4).