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Norsk

Franz Luef

Franz Luef

Professor
Department of Mathematical Sciences

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

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

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

  • MA8104 - Wavelets
  • TMA4170 - Fourier Analysis

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 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.
  • Academic lecture
    Luef, Franz. (2022) Sampling and periodization of generators of Heisenberg modules. Analysis seminar . Leiden university; 2022-10-14.
  • Academic lecture
    Luef, Franz. (2022) Tauberian theorems for operators and functions. Harmonic analysis and friends - Strobl22 ; 2022-06-25.

2021

  • Academic lecture
    Luef, Franz. (2021) Affine Quantum Harmonic Analysis. Department of Mathematics . Unversity of Torino; digital. 2021-06-22 - 2021-06-23.
  • Academic lecture
    Luef, Franz. (2021) Gabor duality for Morita equivalent C*-algebras. Danish-Norwegian Operator Algebras 2021 . Eduard Ortega; 2021-11-25 - 2021-11-28.
  • Academic lecture
    Luef, Franz. (2021) Gaussian Gabor frames and interpolation in Bargmann-Fock spaces. Analyse Seminar . NTNU; Trondheim. 2021-09-17.
  • 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) Quantum Harmonic Analysis — Recent Developments. UNR Department of Mathematics and Statistics Colloquium . University of Nevada; Reno. 2021-03-25.
  • Academic lecture
    Luef, Franz. (2021) Tauberian theorems for operators. Lousiana State University . Gestur Olafsson; 2021-10-06.
  • 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.

2020

  • Lecture
    Luef, Franz. (2020) Gabor duality theory for Morita equivalent C*-algebras. Hilbert C*-Modules Online Weekend ; 2020-06-05 - 2020-06-06.
  • 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.
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