Publications
- M. S. Jakobsen, F. Luef:
Duality of Gabor frames and Heisenberg modules.
arXiv, submitted.
- M. de Gosson, F. Luef:
Moyal bracket and Ehrenfest's Theorem in Born-Jordan quantization.
submitted.
- F. Luef, E. Skrettingland:
Generalized localization operators: Cohen's class and trace class operators
arXiv, submitted.
- L. Dabrowski, G. Landi, M. S. Jakobsen, F. Luef:
Sigma-model solitons on noncommutative spaces
arXiv, submitted.
- S. Chakraborty, F. Luef:
Metaplectic transformations and finite group actions on noncommutative tori,
arXiv, submitted.
- F. Luef, E. Skrettingland:
Convolutions for Berezin quantization and Berezin-Lieb inequalities
J. Math. Phys. Vol.59 No.2, (2018) p.023502, 11pp, arXiv.
- F. Luef, E. Skrettingland:
Convolutions for localization operators
J. Math. Pures Appl. in press arXiv.
- F. Luef:
The Balian-Low Theorem and noncommutative tori
Exp. Math., 36, 2 (2018), 221-226, arXiv.
- M. de Gosson, F. Luef:
Born-Jordan Pseudodifferential Calculus, Bopp Operators and Deformation Quantization
Integral Equations and Operator Theory, 84, 4 (2016) 463-485.
- H. G. Feichtinger, F. Luef:
Gabor analysis and algorithms
Encyclopedia of Applied and Computational Mathematics, 575-579, 2015.
- L. Dabrowski, G. Landi, F. Luef:
Sigma-model solitons on noncommutative spaces
Letters in Mathematical Physics 105, (2015) 1663-1688, arXiv.
- M. de Gosson, F. Luef:
Metaplectic group, symplectic Cayley transform, and fractional Fourier transforms
J. Math. Anal. Appl. 416(2) (2014) 947-968.
- N. Dias, M. de Gosson, F. Luef, J. Prata:
Quantum mechanics in phase space: the Schrödinger and the Moyal representations
J. Pseudo-Differ. Oper. Appl. 3, 4 (2012) 367--398, arXiv
- F. Luef, Z. Rahbani:
On pseudodifferential operators with symbols in generalized Shubin classes and an application to Landau-Weyl operators
Banach Journal of Mathematical Analysis 5(2) (2011) 59-72.
- N. Dias, M. de Gosson, F. Luef, J. Prata:
A pseudo-differential calculus on non-standard symplectic space; spectral and regularity results in modulation spaces
J. Math. Pures Appl. 96, 5 (2011) 423-445, arXiv
- F. Luef:
Projections in noncommutative tori and Gabor frames
Proc. Amer. Math. Soc. 139(2) (2011) 571-582, arXiv
- N. Dias, M. de Gosson, F. Luef, J. Prata:
A pseudo-differential calculus on non-standard symplectic space; spectral and regularity results in modulation spaces
J. Math. Phys. 51, 7 (2010) 072101-072112 arXiv
- M. de Gosson, F. Luef:
Spectral and regularity properties of a Weyl calculus related to Landau quantization
Journal of Pseudo-Differential Operators and Applications 1, 1 (2010) 3-34, arXiv
- M. de Gosson, F. Luef:
On the usefulness of modulation spaces in deformation quantization
J. Phys. A: Math. Theor. 42 (2009) 315205-21, arXiv
- M. de Gosson, F. Luef:
Symplectic capacities and the geometry of uncertainty: the irruption of symplectic topology in classical and quantum mechanics
Physics Reports 484(5) (2009) 131-179.
- B. Luef, F. Luef, P. Peduzzi:
Online program VIPCAL for calculating lytic viral production and lysogenic cells from a viral reduction approach
Environmental Microbiology Reports 1(1) (2009) 78-85.
- F. Luef, Yu. I. Manin:
Quantum theta functions and Gabor frames for modulation spaces
Lett. Math. Phys. 88, 1-3 (2009) 131-161.
- F. Luef:
Projective modules over non-commutative tori are multi-window Gabor frames for modulation spaces
J. Funct. Anal. 257, 6 (2009) 1921-1946.
- H. G. Feichtinger, W. Kozek, F. Luef:
Gabor analysis over finite abelian groups
Appl. Comput. Harmon. Anal. 26(2) (2009) 230-248.
- M. de Gosson, F. Luef:
A new approach to the *-genvalue equation
Lett. Math. Phys. 85, 2-3 (2008) 173-183.
- E. Cordero, H. G. Feichtinger, F. Luef:
Banach Gelfand triples for Gabor analysis
Pseudo-differential Operators, Lecture Notes in Mathematics 1949 (2008) 1-33.
- M. de Gosson, F. Luef:
Principe d'incertitude et positivité des opérateurs à trace; applications à l'opérateur densité
Ann. Inst. H. Poincaré 9(2) (2008) 329-34.
- M. de Gosson, F. Luef:
Remarks on the fact that the Uncertainty Principle does not determine the Quantum State
Phys. Lett., A, 364 (2007) 453–457.
- M. de Gosson, F. Luef:
Quantum States and Hardy's Formulation of the Uncertainty Principle: a Symplectic Approach
Lett. Math. Phys. 80, 1 (2007) 69-82.
- F. Luef:
Gabor analysis, noncommutative tori and Feichtinger's algebra
Gabor and wavelet frames, Lect. Notes Ser. Inst. Math. Sci. Natl. Univ. Singap. 10 (2007) 77-106 World Sci. Publ.
- H. G. Feichtinger, F. Luef, T. Werther:
A guided tour from linear algebra to the foundations of Gabor analysis
Gabor and wavelet frames, Lect. Notes Ser. Inst. Math. Sci. Natl. Univ. Singap. 10 (2007) 1-49 World Sci. Publ.
- F. Luef:
On spectral invariance of non-commutative tori
Contemp. Math. Operator Theory, Operator Algebras, and Applications, Contemp. Math. 414 (2006) 131-146.
- H. G. Feichtinger, F. Luef:
Wiener amalgam spaces for the Fundamental Identity of Gabor Analysis
Collect. Math. 57, Extra Volume (2006) 233-253.
- F. Luef, G. Teschl:
On the finiteness of the number of eigenvalues of Jacobi operators below the essential spectrum
J. Difference Equ. Appl. 10(3) (2004) 299-307.