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papers

Publications (31)

math.FA2019

A Large Scale Approach to Decomposition Spaces

Eirik Berge, Franz Luef

quant-ph2007

Quantum States and Hardy's Formulation of the Uncertainty Principle : a Symplectic Approach

Maurice de Gosson, Franz Luef

math.OA2010

Projections in noncommutative tori and Gabor frames

Franz Luef

math.OA2009

Projective modules over noncommutative tori are multi-window Gabor frames for modulation spaces

Franz Luef

math.FA2018

A duality principle for groups II: Multi-frames meet super-frames

Radu Balan, Dorin Ervin Dutkay, Deguang Han +2

math-ph2009

On the Usefulness of Modulation Spaces in Deformation Quantization

Maurice de Gosson, Franz Luef

math.OA2018

The Balian-Low theorem and noncommutative tori

Franz Luef

math.QA2009

Quantum theta functions and Gabor frames for modulation spaces

Franz Luef, Yuri I. Manin

math-ph2018

Solitons of general topological charge over noncommutative tori

Ludwik Dabrowski, Mads S. Jakobsen, Giovanni Landi +1

math-ph2016

Sigma-model solitons on noncommutative spaces

Ludwik Dabrowski, Giovanni Landi, Franz Luef

math.FA2017

Convolutions for localization operators

Franz Luef, Eirik Skrettingland

math.FA2018

Mixed-state localization operators: Cohen's class and trace class operators

Franz Luef, Eirik Skrettingland

math.FA2018

On accumulated Cohen's class distributions and mixed-state localization operators

Franz Luef, Eirik Skrettingland

math-ph2008

A new approach to the star-genvalue equation

M. de Gosson, Franz Luef

math.FA2012

A pseudo-differential calculus on non-standard symplectic space; spectral and regularity results in modulation spaces

Nuno Costa Dias, Maurice de Gosson, Franz Luef +1

math-ph2011

Preferred Quantization Rules: Born-Jordan vs. Weyl: the Pseudo-Differential Point of View

Maurice de Gosson, Franz Luef

math-ph2008

The Multi-Dimensional Hardy Uncertainty Principle and its Interpretation in Terms of the Wigner Distribution; Relation With the Notion of Symplectic Capacity

Maurice de Gosson, Franz Luef

math.OA2019

Yang-Mills connections on quantum Heisenberg manifolds

Sooran Kang, Franz Luef, Judith A. Packer

math.OA2019

Gabor Duality Theory for Morita Equivalent $C^*$-algebras

Are Austad, Mads S. Jakobsen, Franz Luef

quant-ph2007

Remarks on the Fact that the Uncertainty Principle Does Not Determine the Quantum State

Maurice de Gosson, Franz Luef

math.FA2005

Gabor Analysis, Noncommutative Tori and Feichtinger's algebra

Franz Luef

math.OA2006

On spectral invariance of non-commutative tori

Franz Luef

math.QA2019

A twisted local index formula for curved noncommutative two tori

Farzad Fathizadeh, Franz Luef, Jim Tao

math.OA2019

Metaplectic transformations and finite group actions on noncommutative tori

Sayan Chakraborty, Franz Luef

math-ph2008

Spectral and regularity properties of an operator calculus related to Landau quantization

Maurice de Gosson, Franz Luef

math.OA2018

Sampling and periodization of generators of Heisenberg modules

Mads Sielemann Jakobsen, Franz Luef

math.SP2014

On the Finiteness of the Number of Eigenvalues of Jacobi Operators below the Essential Spectrum

Franz Luef, Gerald Teschl

math.OA2019

Modulation Spaces as a Smooth Structure in Noncommutative Geometry

Are Austad, Franz Luef

math-ph2012

Quantum mechanics in phase space: The Schrödinger and the Moyal representations

Nuno Costa Dias, Maurice de Gosson, Franz Luef +1

math.SG2009

The Pseudo-Character of the Weil Representation and its Relation with the Conley-Zehnder Index

Maurice de Gosson, Franz Luef

math-ph2017

Convolutions for Berezin quantization and Berezin-Lieb inequalities

Franz Luef, Eirik Skrettingland