Franz Luef
Om
Franz Luef var førsteamanuensis ved Institutt for matematiske fag 2014 - 2019 og er professor siden 2020. Før han har vært postdoktor ved universitet i Wien og universitet av kalfiornia i Berkeley. Han er medlem i analysegruppen. Luef har en mastergrad og doktorgrad fra universitet i Wien. Hans forskningsområder er kvantum harmoniske analyse, tid-frekvens analyse, maskinlæring, pseudodifferensial operatorer, usikkerhetsprinsipper og ikke-kommutativ geometri,.
Kompetanseord
Publikasjoner
2025
-
Enstad, Ulrik Bo Rufus;
Luef, Franz.
(2025)
Bessel duality of Gabor systems: A von Neumann algebraic perspective.
Expositiones mathematicae
Vitenskapelig artikkel
-
Dias, Nuno Costa;
Luef, Franz;
Prata, João Nuno.
(2025)
On Wigdersons' approach to the uncertainty principle.
Journal des Mathématiques Pures et Appliquées
Vitenskapelig artikkel
-
Luef, Franz;
Samuelsen, Helge Jørgen.
(2025)
Fourier Restriction for Schatten Class Operators and Functions on Phase Space.
International Mathematics Research Notices (IMRN)
Vitenskapelig artikkel
-
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
Vitenskapelig artikkel
2024
-
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
Vitenskapelig artikkel
-
Bastianoni, Federico;
Luef, Franz.
(2024)
τ-quantization and τ-Cohen classes distributions of Feichtinger operators.
Journal of Pseudo-Differential Operators and Applications
Vitenskapelig artikkel
-
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)
Vitenskapelig artikkel
-
Dörfler, Monika;
Luef, Franz;
Skrettingland, Eirik.
(2024)
Local structure and effective dimensionality of time series data sets.
Applied and Computational Harmonic Analysis
Vitenskapelig artikkel
-
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
Vitenskapelig artikkel
2023
-
Luef, Franz;
Wang, Xu.
(2023)
Gaussian Gabor frames, Seshadri constants and generalized Buser-Sarnak invariants.
Geometric and Functional Analysis
Vitenskapelig artikkel
2022
-
Berge, Eirik;
Berge, Stine Marie;
Luef, Franz;
Skrettingland, Eirik.
(2022)
Affine quantum harmonic analysis.
Journal of Functional Analysis
Vitenskapelig artikkel
-
Berge, Eirik;
Luef, Franz.
(2022)
A large scale approach to decomposition spaces.
Studia Mathematica
Vitenskapelig artikkel
-
Dias, Nuno Costa;
Luef, Franz;
Prata, Joao Nuno.
(2022)
Uncertainty principle via variational calculus on modulation spaces.
Journal of Functional Analysis
Vitenskapelig artikkel
-
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
Vitenskapelig artikkel
-
Berge, Eirik;
Berge, Stine Marie;
Luef, Franz.
(2022)
The affine Wigner distribution.
Applied and Computational Harmonic Analysis
Vitenskapelig artikkel
2021
-
Luef, Franz;
Skrettingland, Eirik.
(2021)
A Wiener Tauberian theorem for operators and functions.
Journal of Functional Analysis
Vitenskapelig artikkel
-
Austad, Are;
Luef, Franz.
(2021)
Modulation spaces as a smooth structure in noncommutative geometry.
Banach Journal of Mathematical Analysis
Vitenskapelig artikkel
-
Keller, Johannes;
Luef, Franz.
(2021)
Polyanalytic Toeplitz Operators: Isomorphisms, Symbolic Calculus and Approximation of Weyl Operators.
Journal of Fourier Analysis and Applications
Vitenskapelig artikkel
-
Dabrowski, Ludwik;
Jakobsen, Mads Sielemann;
Landi, Giovanni;
Luef, Franz.
(2021)
Solitons of general topological charge over noncommutative tori.
Reviews in Mathematical Physics
Vitenskapelig artikkel
2020
-
Austad, Are;
Jakobsen, Mads Sielemann;
Luef, Franz.
(2020)
Gabor duality theory for Morita equivalent C*-algebras.
International Journal of Mathematics
Vitenskapelig artikkel
-
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
Vitenskapelig artikkel
-
Kang, Sooran;
Luef, Franz;
Judith, Packer.
(2020)
Yang-Mills connections on quantum Heisenberg manifolds.
Journal of Mathematical Analysis and Applications
Vitenskapelig artikkel
-
Jakobsen, Mads Sielemann;
Luef, Franz.
(2020)
Duality of Gabor frames and Heisenberg modules.
Journal of Noncommutative Geometry
Fagartikkel
2019
-
Luef, Franz;
Skrettingland, Eirik.
(2019)
On Accumulated Cohen's Class Distributions and Mixed-State Localization Operators.
Constructive approximation
Vitenskapelig artikkel
-
Enstad, Ulrik Bo Rufus;
Jakobsen, Mads Sielemann;
Luef, Franz.
(2019)
Time-frequency analysis on the adeles over the rationals.
Comptes rendus. Mathematique
Vitenskapelig artikkel
-
Chakraborty, Sayan;
Luef, Franz.
(2019)
Metaplectic transformations and finite group actions on noncommutative tori.
Journal of operator theory
Vitenskapelig artikkel
-
Gosson, Maurice de;
Luef, Franz.
(2019)
Moyal bracket and ehrenfest’s theorem in born–jordan quantization.
Quantum Reports
Vitenskapelig artikkel
-
Jakobsen, Mads Sielemann;
Luef, Franz.
(2019)
Sampling and periodization of generators of Heisenberg modules.
International Journal of Mathematics
Vitenskapelig artikkel
-
Luef, Franz;
Skrettingland, Eirik.
(2019)
Mixed-State Localization Operators: Cohen’s Class and Trace Class Operators.
Journal of Fourier Analysis and Applications
Vitenskapelig artikkel
2018
-
Luef, Franz.
(2018)
The Balian–Low theorem and noncommutative tori.
Expositiones mathematicae
Vitenskapelig artikkel
-
Luef, Franz;
Skrettingland, Eirik.
(2018)
Convolutions for localization operators.
Journal des Mathématiques Pures et Appliquées
Vitenskapelig artikkel
-
Luef, Franz;
Skrettingland, Eirik.
(2018)
Convolutions for Berezin quantization and Berezin-Lieb inequalities.
Journal of Mathematical Physics
Vitenskapelig artikkel
2015
-
Gosson, Maurice A. de;
Luef, Franz.
(2015)
Born–Jordan pseudodifferential calculus, Bopp operators and deformation quantization.
Integral equations and operator theory
Vitenskapelig artikkel
-
Dabrowski, Ludwik;
Landi, Giovanni;
Luef, Franz.
(2015)
Sigma-model solitons on noncommutative spaces.
Letters in Mathematical Physics
Vitenskapelig artikkel
2014
-
Gosson, Maurice de;
Luef, Franz.
(2014)
Metaplectic group, symplectic Cayley transform, and fractional Fourier transforms.
Journal of Mathematical Analysis and Applications
Vitenskapelig artikkel
2012
-
Dias, Nuno Costa;
Gosson, Maurice de;
Luef, Franz;
Prata, Joao Nuno.
(2012)
Quantum mechanics in phase space: the Schrödinger and the Moyal representations.
Journal of Pseudo-Differential Operators and Applications
Vitenskapelig artikkel
Tidsskriftspublikasjoner
-
Enstad, Ulrik Bo Rufus;
Luef, Franz.
(2025)
Bessel duality of Gabor systems: A von Neumann algebraic perspective.
Expositiones mathematicae
Vitenskapelig artikkel
-
Dias, Nuno Costa;
Luef, Franz;
Prata, João Nuno.
(2025)
On Wigdersons' approach to the uncertainty principle.
Journal des Mathématiques Pures et Appliquées
Vitenskapelig artikkel
-
Luef, Franz;
Samuelsen, Helge Jørgen.
(2025)
Fourier Restriction for Schatten Class Operators and Functions on Phase Space.
International Mathematics Research Notices (IMRN)
Vitenskapelig artikkel
-
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
Vitenskapelig artikkel
-
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
Vitenskapelig artikkel
-
Bastianoni, Federico;
Luef, Franz.
(2024)
τ-quantization and τ-Cohen classes distributions of Feichtinger operators.
Journal of Pseudo-Differential Operators and Applications
Vitenskapelig artikkel
-
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)
Vitenskapelig artikkel
-
Dörfler, Monika;
Luef, Franz;
Skrettingland, Eirik.
(2024)
Local structure and effective dimensionality of time series data sets.
Applied and Computational Harmonic Analysis
Vitenskapelig artikkel
-
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
Vitenskapelig artikkel
-
Luef, Franz;
Wang, Xu.
(2023)
Gaussian Gabor frames, Seshadri constants and generalized Buser-Sarnak invariants.
Geometric and Functional Analysis
Vitenskapelig artikkel
-
Berge, Eirik;
Berge, Stine Marie;
Luef, Franz;
Skrettingland, Eirik.
(2022)
Affine quantum harmonic analysis.
Journal of Functional Analysis
Vitenskapelig artikkel
-
Berge, Eirik;
Luef, Franz.
(2022)
A large scale approach to decomposition spaces.
Studia Mathematica
Vitenskapelig artikkel
-
Dias, Nuno Costa;
Luef, Franz;
Prata, Joao Nuno.
(2022)
Uncertainty principle via variational calculus on modulation spaces.
Journal of Functional Analysis
Vitenskapelig artikkel
-
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
Vitenskapelig artikkel
-
Berge, Eirik;
Berge, Stine Marie;
Luef, Franz.
(2022)
The affine Wigner distribution.
Applied and Computational Harmonic Analysis
Vitenskapelig artikkel
-
Luef, Franz;
Skrettingland, Eirik.
(2021)
A Wiener Tauberian theorem for operators and functions.
Journal of Functional Analysis
Vitenskapelig artikkel
-
Austad, Are;
Luef, Franz.
(2021)
Modulation spaces as a smooth structure in noncommutative geometry.
Banach Journal of Mathematical Analysis
Vitenskapelig artikkel
-
Keller, Johannes;
Luef, Franz.
(2021)
Polyanalytic Toeplitz Operators: Isomorphisms, Symbolic Calculus and Approximation of Weyl Operators.
Journal of Fourier Analysis and Applications
Vitenskapelig artikkel
-
Dabrowski, Ludwik;
Jakobsen, Mads Sielemann;
Landi, Giovanni;
Luef, Franz.
(2021)
Solitons of general topological charge over noncommutative tori.
Reviews in Mathematical Physics
Vitenskapelig artikkel
-
Austad, Are;
Jakobsen, Mads Sielemann;
Luef, Franz.
(2020)
Gabor duality theory for Morita equivalent C*-algebras.
International Journal of Mathematics
Vitenskapelig artikkel
-
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
Vitenskapelig artikkel
-
Kang, Sooran;
Luef, Franz;
Judith, Packer.
(2020)
Yang-Mills connections on quantum Heisenberg manifolds.
Journal of Mathematical Analysis and Applications
Vitenskapelig artikkel
-
Jakobsen, Mads Sielemann;
Luef, Franz.
(2020)
Duality of Gabor frames and Heisenberg modules.
Journal of Noncommutative Geometry
Fagartikkel
-
Luef, Franz;
Skrettingland, Eirik.
(2019)
On Accumulated Cohen's Class Distributions and Mixed-State Localization Operators.
Constructive approximation
Vitenskapelig artikkel
-
Enstad, Ulrik Bo Rufus;
Jakobsen, Mads Sielemann;
Luef, Franz.
(2019)
Time-frequency analysis on the adeles over the rationals.
Comptes rendus. Mathematique
Vitenskapelig artikkel
-
Chakraborty, Sayan;
Luef, Franz.
(2019)
Metaplectic transformations and finite group actions on noncommutative tori.
Journal of operator theory
Vitenskapelig artikkel
-
Gosson, Maurice de;
Luef, Franz.
(2019)
Moyal bracket and ehrenfest’s theorem in born–jordan quantization.
Quantum Reports
Vitenskapelig artikkel
-
Jakobsen, Mads Sielemann;
Luef, Franz.
(2019)
Sampling and periodization of generators of Heisenberg modules.
International Journal of Mathematics
Vitenskapelig artikkel
-
Luef, Franz;
Skrettingland, Eirik.
(2019)
Mixed-State Localization Operators: Cohen’s Class and Trace Class Operators.
Journal of Fourier Analysis and Applications
Vitenskapelig artikkel
-
Luef, Franz.
(2018)
The Balian–Low theorem and noncommutative tori.
Expositiones mathematicae
Vitenskapelig artikkel
-
Luef, Franz;
Skrettingland, Eirik.
(2018)
Convolutions for localization operators.
Journal des Mathématiques Pures et Appliquées
Vitenskapelig artikkel
-
Luef, Franz;
Skrettingland, Eirik.
(2018)
Convolutions for Berezin quantization and Berezin-Lieb inequalities.
Journal of Mathematical Physics
Vitenskapelig artikkel
-
Gosson, Maurice A. de;
Luef, Franz.
(2015)
Born–Jordan pseudodifferential calculus, Bopp operators and deformation quantization.
Integral equations and operator theory
Vitenskapelig artikkel
-
Dabrowski, Ludwik;
Landi, Giovanni;
Luef, Franz.
(2015)
Sigma-model solitons on noncommutative spaces.
Letters in Mathematical Physics
Vitenskapelig artikkel
-
Gosson, Maurice de;
Luef, Franz.
(2014)
Metaplectic group, symplectic Cayley transform, and fractional Fourier transforms.
Journal of Mathematical Analysis and Applications
Vitenskapelig artikkel
-
Dias, Nuno Costa;
Gosson, Maurice de;
Luef, Franz;
Prata, Joao Nuno.
(2012)
Quantum mechanics in phase space: the Schrödinger and the Moyal representations.
Journal of Pseudo-Differential Operators and Applications
Vitenskapelig artikkel
Undervisning
Emner
- TMA4170 - Fourieranalyse
- MA8104 - Wavelets og relaterte områder
- TMA4411 - Matematikk 2B: Lineær algebra, differensialligninger og flervariabel analyse
- TMA4422 - Matematikk 3C: Lineær algebra, differensialligninger, funksjonsapproksimasjon og rekker
- TMA4110 - Matematikk 3
- TMA4410 - Matematikk 2A: Lineær algebra, differensialligninger, integraltransformer og rekker
- TMA4230 - Funksjonalanalyse
Veiledning
ser på engelsk side.
Formidling
2023
-
Vitenskapelig foredragLuef, Franz. (2023) Quantum harmonic analysis: Open problems and future directions. Workshop on quantum harmonic analysis 04.06.2023 - 09.06.2023
-
Vitenskapelig foredragLuef, Franz. (2023) Local structures in time-series. 4th International Conference and Summer School NUMTA 2023 "Numerical Computations: Theory and Algorithms" 14.06.2023 - 20.06.2023
-
Vitenskapelig foredragLuef, Franz. (2023) Wigner tau-distribution and Cohen classes for operators. IWOTA 2023 , Helsinki 31.07.2023 - 04.08.2023
-
Vitenskapelig foredragLuef, Franz. (2023) Metaplectic transformations for Heisenberg modules. IWOTA 2023 , Helsinki 31.07.2023 - 04.08.2023
2022
-
Vitenskapelig foredragLuef, Franz. (2022) Sampling and periodization of generators of Heisenberg modules. Analysis seminar 14.10.2022 -
-
Vitenskapelig foredragLuef, Franz. (2022) Tauberian theorems for operators and functions. Harmonic analysis and friends - Strobl22 25.06.2022 -
-
Vitenskapelig foredragLuef, Franz. (2022) Quantum Harmonic Analysis and Time-Frequency Analysis. North British Functional Analysis Seminar 01.04.2022 -
-
Vitenskapelig foredragLuef, Franz. (2022) Approximation of Heisenberg modules over irrational noncommutative tori. Noncommutativity in the North 14.03.2022 - 18.03.2022
2021
-
Vitenskapelig foredragLuef, Franz. (2021) Localization Operators. Quantum Harmonic Analysis and Applications to Operator Theory - August 2021 03.08.2021 - 05.08.2021
-
Vitenskapelig foredragLuef, Franz. (2021) Tauberian theorems for operators. Quantum Harmonic Analysis and Applications to Operator Theory - August 2021 03.08.2021 - 05.08.2021
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Vitenskapelig foredragLuef, Franz. (2021) Quadratische Zeit-Frequenz Darstellungen. DAGA - 47. Jahrestagung für Akustik , Wien 15.08.2021 - 20.08.2021
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Vitenskapelig foredragLuef, Franz. (2021) Affine Quantum Harmonic Analysis. Department of Mathematics , digital 22.06.2021 - 23.06.2021
-
Vitenskapelig foredrag
-
Vitenskapelig foredragLuef, Franz. (2021) Quantum Harmonic Analysis — Recent Developments. UNR Department of Mathematics and Statistics Colloquium , Reno 25.03.2021 -
-
Vitenskapelig foredragLuef, Franz. (2021) Gabor duality for Morita equivalent C*-algebras. Danish-Norwegian Operator Algebras 2021 25.11.2021 - 28.11.2021
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Vitenskapelig foredragLuef, Franz. (2021) Gaussian Gabor frames and interpolation in Bargmann-Fock spaces. Analyse Seminar , Trondheim 17.09.2021 -
2020
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Vitenskapelig foredragLuef, Franz. (2020) Gaussian Gabor frames and Kaehler geometry. Noncommutative conference 18.08.2020 - 20.08.2020
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Faglig foredragLuef, Franz. (2020) Gabor duality theory for Morita equivalent C*-algebras. Hilbert C*-Modules Online Weekend 05.06.2020 - 06.06.2020
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Vitenskapelig foredragLuef, Franz. (2020) Tauberian theorems for operators and functions. 5th Operator Theory Workshop 21.10.2020 - 23.08.2021