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In the present investigation we are linking noncommutative geometry over noncommutative tori with Gabor analysis, where the first has its roots in operator algebras and the second in time-frequency analysis.
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Duality and biorthogonality for Weyl-Heisenberg frames
A. J. E. M. Janssen · 1995
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Gabor frames and time-frequency analysis of distributions
H. G. Feichtinger and K. Gröchenig · 1997
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Analysis of multi-window Gabor-type schemes by frame methods
M. Zibulski and Y. Y. Zeevi · 1997
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The stable rank of topological algebras and a problem of R.G. Swan
C. Badea · 1998
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Quantization of TF lattice-invariant operators on elementary LCA groups
H. G. Feichtinger and W. Kozek · 1998
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A Banach space of test functions for Gabor analysis
H. G. Feichtinger and G. Zimmermann · 1998
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Gabor Analysis meets Noncommutative Geometry
F. Luef · 2005
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Density, overcompleteness, and localization of frames I: Theory
R. Balan, P. G. Casazza, C. Heil, and Z. Landau · 2006
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Modulation Spaces: Looking Back and Ahead
H. G. Feichtinger · 2006
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Wiener Amalgam Spaces for the Fundamental Identity of Gabor Analysis
H. G. Feichtinger and F. Luef · 2006
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On spectral invariance of non-commutative tori
F. Luef · 2006
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Localization operators and time-frequency analysis. pages 83–109
E. Cordero, K. Gröchenig, and L. Rodino · 2007
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Weight functions in time-frequency analysis
K. Gröchenig · 2007
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Gabor analysis, noncommutative tori and Feichtinger’s algebra
F. Luef · 2007
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Noncommutative variations on Laplace’s equation
J. Rosenberg · 2008
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The topological stable rank of projective modules over noncommutative tori
K. Gröchenig and F. Luef · 2009
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Varying the time-frequency lattice of Gabor frames
H. G. Feichtinger and N. Kaiblinger · 2023
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