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Franz Luef

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Franz Luef

Professor
Department of Mathematical Sciences

franz.luef@ntnu.no
+4773593513 Sentralbygg 2, 9. etasje, rom 940, Gløshaugen, Alfred Getz vei 1
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About Publications Teaching Outreach

About

CV

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

  • Time-frequency analysis

Publications

  • Chronological
  • By category
  • See all publications in Cristin

2025

  • Luef, Franz; Samuelsen, Helge Jørgen. (2025) Fourier Restriction for Schatten Class Operators and Functions on Phase Space. International Mathematics Research Notices (IMRN)
    Academic article
  • Dias, Nuno Costa; Luef, Franz; Prata, João Nuno. (2025) On Wigdersons' approach to the uncertainty principle. Journal des Mathématiques Pures et Appliquées
    Academic article
  • Gjertsen, Michael; Luef, Franz. (2025) On the Structure of Multivariate Gabor Systems and a Result on Gaussian Gabor Frames. Journal of Fourier Analysis and Applications
    Academic article

2024

  • Abreu, L.D.; Balazs, P.; Holighaus, N.; Luef, Franz; Speckbacher, M.. (2024) Time-frequency analysis on flat tori and Gabor frames in finite dimensions. Applied and Computational Harmonic Analysis
    Academic article
  • Dörfler, Monika; Luef, Franz; Mcnulty, Henry David Feaver; Skrettingland, Eirik. (2024) Time-frequency analysis and coorbit spaces of operators. Journal of Mathematical Analysis and Applications
    Academic article
  • Feichtinger, Hans G.; Halvdansson, Karl Simon; Luef, Franz. (2024) Measure-operator convolutions and applications to mixed-state Gabor multipliers. Sampling Theory, Signal Processing, and Data Analysis (SaSiDa)
    Academic article
  • Bastianoni, Federico; Luef, Franz. (2024) τ-quantization and τ-Cohen classes distributions of Feichtinger operators. Journal of Pseudo-Differential Operators and Applications
    Academic article
  • Dörfler, Monika; Luef, Franz; Skrettingland, Eirik. (2024) Local structure and effective dimensionality of time series data sets. Applied and Computational Harmonic Analysis
    Academic article

2023

  • Luef, Franz; Wang, Xu. (2023) Gaussian Gabor frames, Seshadri constants and generalized Buser-Sarnak invariants. Geometric and Functional Analysis
    Academic article

2022

  • 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
    Academic article
  • Berge, Eirik; Luef, Franz. (2022) A large scale approach to decomposition spaces. Studia Mathematica
    Academic article
  • Dias, Nuno Costa; Luef, Franz; Prata, Joao Nuno. (2022) Uncertainty principle via variational calculus on modulation spaces. Journal of Functional Analysis
    Academic article
  • Berge, Eirik; Berge, Stine Marie; Luef, Franz; Skrettingland, Eirik. (2022) Affine quantum harmonic analysis. Journal of Functional Analysis
    Academic article
  • Berge, Eirik; Berge, Stine Marie; Luef, Franz. (2022) The affine Wigner distribution. Applied and Computational Harmonic Analysis
    Academic article

2021

  • Keller, Johannes; Luef, Franz. (2021) Polyanalytic Toeplitz Operators: Isomorphisms, Symbolic Calculus and Approximation of Weyl Operators. Journal of Fourier Analysis and Applications
    Academic article
  • Austad, Are; Luef, Franz. (2021) Modulation spaces as a smooth structure in noncommutative geometry. Banach Journal of Mathematical Analysis
    Academic article
  • Dabrowski, Ludwik; Jakobsen, Mads Sielemann; Landi, Giovanni; Luef, Franz. (2021) Solitons of general topological charge over noncommutative tori. Reviews in Mathematical Physics
    Academic article
  • Luef, Franz; Skrettingland, Eirik. (2021) A Wiener Tauberian theorem for operators and functions. Journal of Functional Analysis
    Academic article

2020

  • Jakobsen, Mads Sielemann; Luef, Franz. (2020) Duality of Gabor frames and Heisenberg modules. Journal of Noncommutative Geometry
    Article in business/trade/industry journal
  • 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
    Academic article
  • Austad, Are; Jakobsen, Mads Sielemann; Luef, Franz. (2020) Gabor duality theory for Morita equivalent C*-algebras. International Journal of Mathematics
    Academic article
  • Kang, Sooran; Luef, Franz; Judith, Packer. (2020) Yang-Mills connections on quantum Heisenberg manifolds. Journal of Mathematical Analysis and Applications
    Academic article

2019

  • Enstad, Ulrik Bo Rufus; Jakobsen, Mads Sielemann; Luef, Franz. (2019) Time-frequency analysis on the adeles over the rationals. Comptes rendus. Mathematique
    Academic article
  • Luef, Franz; Skrettingland, Eirik. (2019) Mixed-State Localization Operators: Cohen’s Class and Trace Class Operators. Journal of Fourier Analysis and Applications
    Academic article
  • Jakobsen, Mads Sielemann; Luef, Franz. (2019) Sampling and periodization of generators of Heisenberg modules. International Journal of Mathematics
    Academic article
  • de Gosson, Maurice; Luef, Franz. (2019) Moyal bracket and ehrenfest’s theorem in born–jordan quantization. Quantum Reports
    Academic article
  • Luef, Franz; Skrettingland, Eirik. (2019) On Accumulated Cohen's Class Distributions and Mixed-State Localization Operators. Constructive approximation
    Academic article
  • Chakraborty, Sayan; Luef, Franz. (2019) Metaplectic transformations and finite group actions on noncommutative tori . Journal of operator theory
    Academic article

2018

  • Luef, Franz. (2018) The Balian–Low theorem and noncommutative tori. Expositiones mathematicae
    Academic article
  • Luef, Franz; Skrettingland, Eirik. (2018) Convolutions for localization operators. Journal des Mathématiques Pures et Appliquées
    Academic article
  • Luef, Franz; Skrettingland, Eirik. (2018) Convolutions for Berezin quantization and Berezin-Lieb inequalities. Journal of Mathematical Physics
    Academic article

2015

  • Dabrowski, Ludwik; Landi, Giovanni; Luef, Franz. (2015) Sigma-model solitons on noncommutative spaces. Letters in Mathematical Physics
    Academic article
  • de Gosson, Maurice A.; Luef, Franz. (2015) Born–Jordan pseudodifferential calculus, Bopp operators and deformation quantization. Integral equations and operator theory
    Academic article

2014

  • de Gosson, Maurice; Luef, Franz. (2014) Metaplectic group, symplectic Cayley transform, and fractional Fourier transforms. Journal of Mathematical Analysis and Applications
    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
    Academic article

Journal publications

  • Luef, Franz; Samuelsen, Helge Jørgen. (2025) Fourier Restriction for Schatten Class Operators and Functions on Phase Space. International Mathematics Research Notices (IMRN)
    Academic article
  • Dias, Nuno Costa; Luef, Franz; Prata, João Nuno. (2025) On Wigdersons' approach to the uncertainty principle. Journal des Mathématiques Pures et Appliquées
    Academic article
  • Gjertsen, Michael; Luef, Franz. (2025) On the Structure of Multivariate Gabor Systems and a Result on Gaussian Gabor Frames. Journal of Fourier Analysis and Applications
    Academic article
  • Abreu, L.D.; Balazs, P.; Holighaus, N.; Luef, Franz; Speckbacher, M.. (2024) Time-frequency analysis on flat tori and Gabor frames in finite dimensions. Applied and Computational Harmonic Analysis
    Academic article
  • Dörfler, Monika; Luef, Franz; Mcnulty, Henry David Feaver; Skrettingland, Eirik. (2024) Time-frequency analysis and coorbit spaces of operators. Journal of Mathematical Analysis and Applications
    Academic article
  • Feichtinger, Hans G.; Halvdansson, Karl Simon; Luef, Franz. (2024) Measure-operator convolutions and applications to mixed-state Gabor multipliers. Sampling Theory, Signal Processing, and Data Analysis (SaSiDa)
    Academic article
  • Bastianoni, Federico; Luef, Franz. (2024) τ-quantization and τ-Cohen classes distributions of Feichtinger operators. Journal of Pseudo-Differential Operators and Applications
    Academic article
  • Dörfler, Monika; Luef, Franz; Skrettingland, Eirik. (2024) Local structure and effective dimensionality of time series data sets. Applied and Computational Harmonic Analysis
    Academic article
  • Luef, Franz; Wang, Xu. (2023) Gaussian Gabor frames, Seshadri constants and generalized Buser-Sarnak invariants. Geometric and Functional Analysis
    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
    Academic article
  • Berge, Eirik; Luef, Franz. (2022) A large scale approach to decomposition spaces. Studia Mathematica
    Academic article
  • Dias, Nuno Costa; Luef, Franz; Prata, Joao Nuno. (2022) Uncertainty principle via variational calculus on modulation spaces. Journal of Functional Analysis
    Academic article
  • Berge, Eirik; Berge, Stine Marie; Luef, Franz; Skrettingland, Eirik. (2022) Affine quantum harmonic analysis. Journal of Functional Analysis
    Academic article
  • Berge, Eirik; Berge, Stine Marie; Luef, Franz. (2022) The affine Wigner distribution. Applied and Computational Harmonic Analysis
    Academic article
  • Keller, Johannes; Luef, Franz. (2021) Polyanalytic Toeplitz Operators: Isomorphisms, Symbolic Calculus and Approximation of Weyl Operators. Journal of Fourier Analysis and Applications
    Academic article
  • Austad, Are; Luef, Franz. (2021) Modulation spaces as a smooth structure in noncommutative geometry. Banach Journal of Mathematical Analysis
    Academic article
  • Dabrowski, Ludwik; Jakobsen, Mads Sielemann; Landi, Giovanni; Luef, Franz. (2021) Solitons of general topological charge over noncommutative tori. Reviews in Mathematical Physics
    Academic article
  • Luef, Franz; Skrettingland, Eirik. (2021) A Wiener Tauberian theorem for operators and functions. Journal of Functional Analysis
    Academic article
  • Jakobsen, Mads Sielemann; Luef, Franz. (2020) Duality of Gabor frames and Heisenberg modules. Journal of Noncommutative Geometry
    Article in business/trade/industry journal
  • 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
    Academic article
  • Austad, Are; Jakobsen, Mads Sielemann; Luef, Franz. (2020) Gabor duality theory for Morita equivalent C*-algebras. International Journal of Mathematics
    Academic article
  • Kang, Sooran; Luef, Franz; Judith, Packer. (2020) Yang-Mills connections on quantum Heisenberg manifolds. Journal of Mathematical Analysis and Applications
    Academic article
  • Enstad, Ulrik Bo Rufus; Jakobsen, Mads Sielemann; Luef, Franz. (2019) Time-frequency analysis on the adeles over the rationals. Comptes rendus. Mathematique
    Academic article
  • Luef, Franz; Skrettingland, Eirik. (2019) Mixed-State Localization Operators: Cohen’s Class and Trace Class Operators. Journal of Fourier Analysis and Applications
    Academic article
  • Jakobsen, Mads Sielemann; Luef, Franz. (2019) Sampling and periodization of generators of Heisenberg modules. International Journal of Mathematics
    Academic article
  • de Gosson, Maurice; Luef, Franz. (2019) Moyal bracket and ehrenfest’s theorem in born–jordan quantization. Quantum Reports
    Academic article
  • Luef, Franz; Skrettingland, Eirik. (2019) On Accumulated Cohen's Class Distributions and Mixed-State Localization Operators. Constructive approximation
    Academic article
  • Chakraborty, Sayan; Luef, Franz. (2019) Metaplectic transformations and finite group actions on noncommutative tori . Journal of operator theory
    Academic article
  • Luef, Franz. (2018) The Balian–Low theorem and noncommutative tori. Expositiones mathematicae
    Academic article
  • Luef, Franz; Skrettingland, Eirik. (2018) Convolutions for localization operators. Journal des Mathématiques Pures et Appliquées
    Academic article
  • Luef, Franz; Skrettingland, Eirik. (2018) Convolutions for Berezin quantization and Berezin-Lieb inequalities. Journal of Mathematical Physics
    Academic article
  • Dabrowski, Ludwik; Landi, Giovanni; Luef, Franz. (2015) Sigma-model solitons on noncommutative spaces. Letters in Mathematical Physics
    Academic article
  • de Gosson, Maurice A.; Luef, Franz. (2015) Born–Jordan pseudodifferential calculus, Bopp operators and deformation quantization. Integral equations and operator theory
    Academic article
  • de Gosson, Maurice; Luef, Franz. (2014) Metaplectic group, symplectic Cayley transform, and fractional Fourier transforms. Journal of Mathematical Analysis and Applications
    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
    Academic article

Teaching

Courses

  • TMA4170 - Fourieranalyse
  • MA8104 - Wavelets og relaterte områder
  • TMA4110 - Matematikk 3
  • TMA4230 - Funksjonalanalyse

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

Outreach

2023

  • Academic lecture
    Luef, Franz. (2023) Quantum harmonic analysis: Open problems and future directions. Workshop on quantum harmonic analysis 2023-06-04 - 2023-06-09
  • Academic lecture
    Luef, Franz. (2023) Local structures in time-series. 4th International Conference and Summer School NUMTA 2023 "Numerical Computations: Theory and Algorithms" 2023-06-14 - 2023-06-20
  • Academic lecture
    Luef, Franz. (2023) Wigner tau-distribution and Cohen classes for operators. University of Helsinki IWOTA 2023 , Helsinki 2023-07-31 - 2023-08-04
  • Academic lecture
    Luef, Franz. (2023) Metaplectic transformations for Heisenberg modules. University of Helsinki IWOTA 2023 , Helsinki 2023-07-31 - 2023-08-04

2022

  • Academic lecture
    Luef, Franz. (2022) Tauberian theorems for operators and functions. Harmonic analysis and friends - Strobl22 2022-06-25 -
  • Academic lecture
    Luef, Franz. (2022) Sampling and periodization of generators of Heisenberg modules . Leiden university Analysis seminar 2022-10-14 -
  • Academic lecture
    Luef, Franz. (2022) Approximation of Heisenberg modules over irrational noncommutative tori. Noncommutativity in the North 2022-03-14 - 2022-03-18
  • Academic lecture
    Luef, Franz. (2022) Quantum Harmonic Analysis and Time-Frequency Analysis. North British Functional Analysis Seminar 2022-04-01 -

2021

  • Academic lecture
    Luef, Franz. (2021) Quantum Harmonic Analysis — Recent Developments. University of Nevada UNR Department of Mathematics and Statistics Colloquium , Reno 2021-03-25 -
  • Academic lecture
    Luef, Franz. (2021) Affine Quantum Harmonic Analysis. Unversity of Torino Department of Mathematics , digital 2021-06-22 - 2021-06-23
  • Academic lecture
    Luef, Franz. (2021) Gaussian Gabor frames and interpolation in Bargmann-Fock spaces. NTNU Analyse Seminar , Trondheim 2021-09-17 -
  • Academic lecture
    Luef, Franz. (2021) Gabor duality for Morita equivalent C*-algebras. Eduard Ortega Danish-Norwegian Operator Algebras 2021 2021-11-25 - 2021-11-28
  • Academic lecture
    Luef, Franz. (2021) Localization Operators. Quantum Harmonic Analysis and Applications to Operator Theory - August 2021 2021-08-03 - 2021-08-05
  • Academic lecture
    Luef, Franz. (2021) Quadratische Zeit-Frequenz Darstellungen. DAGA - 47. Jahrestagung für Akustik , Wien 2021-08-15 - 2021-08-20
  • Academic lecture
    Luef, Franz. (2021) Tauberian theorems for operators. Quantum Harmonic Analysis and Applications to Operator Theory - August 2021 2021-08-03 - 2021-08-05
  • Academic lecture
    Luef, Franz. (2021) Tauberian theorems for operators. Gestur Olafsson Lousiana State University 2021-10-06 -

2020

  • Academic lecture
    Luef, Franz. (2020) Gaussian Gabor frames and Kaehler geometry. Noncommutative conference 2020-08-18 - 2020-08-20
  • Academic lecture
    Luef, Franz. (2020) Tauberian theorems for operators and functions. 5th Operator Theory Workshop 2020-10-21 - 2021-08-23
  • Lecture
    Luef, Franz. (2020) Gabor duality theory for Morita equivalent C*-algebras. Hilbert C*-Modules Online Weekend 2020-06-05 - 2020-06-06

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