Navigasjon

  • Hopp til innhold
NTNU Hjemmeside NTNU Hjemmeside

ntnu.no

  • Studier
    • Studere på NTNU
    • Finn studieprogram
    • Søke opptak
    • Videreutdanning og deltid
    • Forkurs og oppfriskning
  • Studentliv
    • Student i Gjøvik
    • Student i Trondheim
    • Student i Ålesund
  • Forskning og innovasjon
    • Forskning
    • Innovasjon
    • Satsingsområder
    • Toppforskning
    • Ekspertlister
    • Ph.d.
  • Om NTNU
    • Fakulteter og institutter
    • Sentre
    • Bibliotek
    • Kart
    • Ledige stillinger
    • Arrangement
    • Nyheter
    • Kontakt oss
    • Om NTNU
  1. Ansatte

Språkvelger

English

Franz Luef

Last ned pressefoto
Last ned pressefoto
Foto:

Franz Luef

Professor
Institutt for matematiske fag

franz.luef@ntnu.no
73593513 Sentralbygg 2, 9. etasje, rom 940, Gløshaugen, Alfred Getz vei 1
ResearchGate Scopus Google Scholar Quantum Mathematics
Om Publikasjoner Undervisning Formidling

Om

CV
 

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

  • Tid-frekvensanalyse
  • quantum harmonic analysis

Publikasjoner

  • Kronologisk
  • Etter kategori
  • Alle publikasjoner i Nasjonalt vitenarkiv (NVA)

2025

  • 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

  • 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

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

Veiledning

ser på engelsk side.

Formidling

2023

  • Vitenskapelig foredrag
    Luef, Franz. (2023) Quantum harmonic analysis: Open problems and future directions. Workshop on quantum harmonic analysis 2023-06-04 - 2023-06-09
  • Vitenskapelig foredrag
    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
  • Vitenskapelig foredrag
    Luef, Franz. (2023) Wigner tau-distribution and Cohen classes for operators. IWOTA 2023 , Helsinki 2023-07-31 - 2023-08-04
  • Vitenskapelig foredrag
    Luef, Franz. (2023) Metaplectic transformations for Heisenberg modules. IWOTA 2023 , Helsinki 2023-07-31 - 2023-08-04

2022

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

2021

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

2020

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

NTNU – Norges teknisk-naturvitenskapelige universitet

  • For ansatte
  • |
  • For studenter
  • |
  • Innsida
  • |
  • Blackboard

Studere

  • Om studier
  • Studieprogram
  • Emner
  • Videreutdanning
  • Karriere

Aktuelt

  • Nyheter
  • Arrangement
  • Jobbe ved NTNU

Om NTNU

  • Om NTNU
  • Bibliotek
  • Strategi
  • Forskning
  • Satsingsområder
  • Innovasjon
  • Organisasjonskart
  • Utdanningskvalitet

Kontakt

  • Kontakt oss
  • Finn ansatte
  • Spør en ekspert
  • Pressekontakter
  • Kart

NTNU i tre byer

  • NTNU i Gjøvik
  • NTNU i Trondheim
  • NTNU i Ålesund

Om nettstedet

  • Bruk av informasjonskapsler
  • Tilgjengelighetserklæring
  • Personvern
  • Ansvarlig redaktør
Facebook Instagram Linkedin Snapchat Tiktok Youtube
Logg inn
NTNU logo