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 PhD both from the University of Vienna.
His research interests are in quantum harmonic analysis, machine learning, noncommutative geometry, time-frequency analysis and pseudodifferential operators, uncertainty principles.
Competencies
Publications
2022
-
Berge, Eirik;
Berge, Stine Marie;
Luef, Franz.
(2022)
The affine Wigner distribution.
Applied and Computational Harmonic Analysis.
volum 56.
Academic article
-
Berge, Eirik;
Berge, Stine Marie;
Luef, Franz;
Skrettingland, Eirik.
(2022)
Affine quantum harmonic analysis.
Journal of Functional Analysis.
volum 282 (4).
Academic article
-
Berge, Eirik;
Luef, Franz.
(2022)
A large scale approach to decomposition spaces.
Studia Mathematica.
volum 265 (3).
Academic article
-
Dias, Nuno Costa;
Luef, Franz;
Prata, Joao Nuno.
(2022)
Uncertainty principle via variational calculus on modulation spaces.
Journal of Functional Analysis.
volum 283 (8).
Academic article
-
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.
Academic article
2021
-
Austad, Are;
Luef, Franz.
(2021)
Modulation spaces as a smooth structure in noncommutative geometry.
Banach Journal of Mathematical Analysis.
volum 15.
Academic article
-
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).
Academic article
-
Keller, Johannes;
Luef, Franz.
(2021)
Polyanalytic Toeplitz Operators: Isomorphisms, Symbolic Calculus and Approximation of Weyl Operators.
Journal of Fourier Analysis and Applications.
volum 27.
Academic article
-
Luef, Franz;
Skrettingland, Eirik.
(2021)
A Wiener Tauberian theorem for operators and functions.
Journal of Functional Analysis.
volum 280 (6).
Academic article
2020
-
Austad, Are;
Jakobsen, Mads Sielemann;
Luef, Franz.
(2020)
Gabor duality theory for Morita equivalent C*-algebras.
International Journal of Mathematics.
volum 31 (10).
Academic article
-
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).
Academic article
-
Jakobsen, Mads Sielemann;
Luef, Franz.
(2020)
Duality of Gabor frames and Heisenberg modules.
Journal of Noncommutative Geometry.
Article
-
Kang, Sooran;
Luef, Franz;
Judith, Packer.
(2020)
Yang-Mills connections on quantum Heisenberg manifolds.
Journal of Mathematical Analysis and Applications.
volum 483 (1).
Academic article
2019
-
Chakraborty, Sayan;
Luef, Franz.
(2019)
Metaplectic transformations and finite group actions on noncommutative tori.
Journal of operator theory.
volum 82 (1).
Academic article
-
de Gosson, Maurice;
Luef, Franz.
(2019)
Moyal bracket and ehrenfest’s theorem in born–jordan quantization.
Quantum Reports.
volum 1 (1).
Academic article
-
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).
Academic article
-
Jakobsen, Mads Sielemann;
Luef, Franz.
(2019)
Sampling and periodization of generators of Heisenberg modules.
International Journal of Mathematics.
volum 30 (10).
Academic article
-
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).
Academic article
-
Luef, Franz;
Skrettingland, Eirik.
(2019)
On Accumulated Cohen's Class Distributions and Mixed-State Localization Operators.
Constructive approximation.
volum 52 (1).
Academic article
2018
-
Luef, Franz.
(2018)
The Balian–Low theorem and noncommutative tori.
Expositiones mathematicae.
volum 36 (2).
Academic article
-
Luef, Franz;
Skrettingland, Eirik.
(2018)
Convolutions for Berezin quantization and Berezin-Lieb inequalities.
Journal of Mathematical Physics.
volum 59 (2).
Academic article
-
Luef, Franz;
Skrettingland, Eirik.
(2018)
Convolutions for localization operators.
Journal des Mathématiques Pures et Appliquées.
volum 118.
Academic article
2015
-
Dabrowski, Ludwik;
Landi, Giovanni;
Luef, Franz.
(2015)
Sigma-model solitons on noncommutative spaces.
Letters in Mathematical Physics.
volum 105 (12).
Academic article
-
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).
Academic article
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).
Academic article
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).
Academic article
Journal publications
-
Berge, Eirik;
Berge, Stine Marie;
Luef, Franz.
(2022)
The affine Wigner distribution.
Applied and Computational Harmonic Analysis.
volum 56.
Academic article
-
Berge, Eirik;
Berge, Stine Marie;
Luef, Franz;
Skrettingland, Eirik.
(2022)
Affine quantum harmonic analysis.
Journal of Functional Analysis.
volum 282 (4).
Academic article
-
Berge, Eirik;
Luef, Franz.
(2022)
A large scale approach to decomposition spaces.
Studia Mathematica.
volum 265 (3).
Academic article
-
Dias, Nuno Costa;
Luef, Franz;
Prata, Joao Nuno.
(2022)
Uncertainty principle via variational calculus on modulation spaces.
Journal of Functional Analysis.
volum 283 (8).
Academic article
-
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.
Academic article
-
Austad, Are;
Luef, Franz.
(2021)
Modulation spaces as a smooth structure in noncommutative geometry.
Banach Journal of Mathematical Analysis.
volum 15.
Academic article
-
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).
Academic article
-
Keller, Johannes;
Luef, Franz.
(2021)
Polyanalytic Toeplitz Operators: Isomorphisms, Symbolic Calculus and Approximation of Weyl Operators.
Journal of Fourier Analysis and Applications.
volum 27.
Academic article
-
Luef, Franz;
Skrettingland, Eirik.
(2021)
A Wiener Tauberian theorem for operators and functions.
Journal of Functional Analysis.
volum 280 (6).
Academic article
-
Austad, Are;
Jakobsen, Mads Sielemann;
Luef, Franz.
(2020)
Gabor duality theory for Morita equivalent C*-algebras.
International Journal of Mathematics.
volum 31 (10).
Academic article
-
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).
Academic article
-
Jakobsen, Mads Sielemann;
Luef, Franz.
(2020)
Duality of Gabor frames and Heisenberg modules.
Journal of Noncommutative Geometry.
Article
-
Kang, Sooran;
Luef, Franz;
Judith, Packer.
(2020)
Yang-Mills connections on quantum Heisenberg manifolds.
Journal of Mathematical Analysis and Applications.
volum 483 (1).
Academic article
-
Chakraborty, Sayan;
Luef, Franz.
(2019)
Metaplectic transformations and finite group actions on noncommutative tori.
Journal of operator theory.
volum 82 (1).
Academic article
-
de Gosson, Maurice;
Luef, Franz.
(2019)
Moyal bracket and ehrenfest’s theorem in born–jordan quantization.
Quantum Reports.
volum 1 (1).
Academic article
-
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).
Academic article
-
Jakobsen, Mads Sielemann;
Luef, Franz.
(2019)
Sampling and periodization of generators of Heisenberg modules.
International Journal of Mathematics.
volum 30 (10).
Academic article
-
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).
Academic article
-
Luef, Franz;
Skrettingland, Eirik.
(2019)
On Accumulated Cohen's Class Distributions and Mixed-State Localization Operators.
Constructive approximation.
volum 52 (1).
Academic article
-
Luef, Franz.
(2018)
The Balian–Low theorem and noncommutative tori.
Expositiones mathematicae.
volum 36 (2).
Academic article
-
Luef, Franz;
Skrettingland, Eirik.
(2018)
Convolutions for Berezin quantization and Berezin-Lieb inequalities.
Journal of Mathematical Physics.
volum 59 (2).
Academic article
-
Luef, Franz;
Skrettingland, Eirik.
(2018)
Convolutions for localization operators.
Journal des Mathématiques Pures et Appliquées.
volum 118.
Academic article
-
Dabrowski, Ludwik;
Landi, Giovanni;
Luef, Franz.
(2015)
Sigma-model solitons on noncommutative spaces.
Letters in Mathematical Physics.
volum 105 (12).
Academic article
-
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).
Academic article
-
de Gosson, Maurice;
Luef, Franz.
(2014)
Metaplectic group, symplectic Cayley transform, and fractional Fourier transforms.
Journal of Mathematical Analysis and Applications.
volum 416 (2).
Academic article
-
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).
Academic article
Teaching
Courses
Supervision
Bachelor students
- Elias Klakken Angelsen: The K-theory and Morita equivalence classes of noncommutative tori, June 2021
- Thor Tunge: Constructing equiangular tight frames, June 2016
- Kjell Martin Moelster: Elliptic Cryptography, June 2014.
Master students
- Michael Gjertsen: Morita equivalence and metaplectic operators of noncommutative tori, Aug. 2022-June 2023
- Rasmus Hilmer Henninen: Convolutional neural networks and quantum harmonic analysis, Aug. 2022-June 2023
- Erik Joergensen: Unwinding the phase, June 2018
- Sindre Naas: From wireless communication to noncommutative geometry, June 2018
- Eirik Skrettingland: Convolutions for localization operators, May 2017
- Haakon Gulbrandsrud: Noncommutative Sobolev spaces, May 2017
- Are Austad: The Algebraic Bivariant Connes-Chern character, April 2017
- Ulrik Enstad: Rational noncommutative tori and Gabor frames, June 2016
Doctoral students
- Erling Svela (main supervisor): Application of quantum entropies to the structure of data, August 2026
- Henry McNulty (main supervisor): Application of quantum harmonic analysis to time series, August 2025
- Simon Halvdansson (main supervisor): On quantum harmonic analysis, August 2025
- Matthias Palmstrom (co-supervisor): Aspects of groupoid C*-algebras, August 2025
- Helge Knutsen (co-supervisor): The fractal uncertainty principle in time-frequency analysis, June 2023
- Eirik Berge (main supervisor): Geometric and Functional Analytic Aspects of Time-Frequency Analysis, June 2022
- Eirik Skrettingland (main supervisor): Time-Frequency Analysis meets Quantum Harmonic Analysis, May 2021
- Are Austad (main supervisor): Twisted convolution algebras and applications to Gabor analysis, May 2021
- Ulrik Enstad (co-supervisor): Heisenberg modules and Balian-Low theorems - Applications of operator algebras to Gabor analysis, May 2020
Media
2022
-
Academic lectureLuef, Franz. (2022) Approximation of Heisenberg modules over irrational noncommutative tori. Noncommutativity in the North ; 2022-03-14 - 2022-03-18.
-
Academic lectureLuef, Franz. (2022) Quantum Harmonic Analysis and Time-Frequency Analysis. North British Functional Analysis Seminar ; 2022-04-01.
-
Academic lectureLuef, Franz. (2022) Sampling and periodization of generators of Heisenberg modules. Analysis seminar . Leiden university; 2022-10-14.
-
Academic lectureLuef, Franz. (2022) Tauberian theorems for operators and functions. Harmonic analysis and friends - Strobl22 ; 2022-06-25.
2021
-
Academic lectureLuef, Franz. (2021) Affine Quantum Harmonic Analysis. Department of Mathematics . Unversity of Torino; digital. 2021-06-22 - 2021-06-23.
-
Academic lectureLuef, Franz. (2021) Gabor duality for Morita equivalent C*-algebras. Danish-Norwegian Operator Algebras 2021 . Eduard Ortega; 2021-11-25 - 2021-11-28.
-
Academic lectureLuef, Franz. (2021) Gaussian Gabor frames and interpolation in Bargmann-Fock spaces. Analyse Seminar . NTNU; Trondheim. 2021-09-17.
-
Academic lectureLuef, Franz. (2021) Localization Operators. Quantum Harmonic Analysis and Applications to Operator Theory - August 2021 ; 2021-08-03 - 2021-08-05.
-
Academic lectureLuef, Franz. (2021) Quadratische Zeit-Frequenz Darstellungen. DAGA - 47. Jahrestagung für Akustik ; Wien. 2021-08-15 - 2021-08-20.
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Academic lectureLuef, Franz. (2021) Quantum Harmonic Analysis — Recent Developments. UNR Department of Mathematics and Statistics Colloquium . University of Nevada; Reno. 2021-03-25.
-
Academic lectureLuef, Franz. (2021) Tauberian theorems for operators. Lousiana State University . Gestur Olafsson; 2021-10-06.
-
Academic lectureLuef, Franz. (2021) Tauberian theorems for operators. Quantum Harmonic Analysis and Applications to Operator Theory - August 2021 ; 2021-08-03 - 2021-08-05.
2020
-
LectureLuef, Franz. (2020) Gabor duality theory for Morita equivalent C*-algebras. Hilbert C*-Modules Online Weekend ; 2020-06-05 - 2020-06-06.
-
Academic lectureLuef, Franz. (2020) Gaussian Gabor frames and Kaehler geometry. Noncommutative conference ; 2020-08-18 - 2020-08-20.
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Academic lectureLuef, Franz. (2020) Tauberian theorems for operators and functions. 5th Operator Theory Workshop ; 2020-10-21 - 2021-08-23.