A constructive inversion framework for twisted convolution

Monatshefte fur Mathematik

Volumn 150, Issue 4, 2007, Pages 297-308

  Eldar, Yonina C ^a   Matusiak, Ewa ^b,c   Werther, Tobias ^b,c  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^b UNIVERSITY OF VIENNA   (Austria)

^c UNIVERSITY OF VIENNA   (Austria)

Author keywords

Gabor frame; Invertibility of operators; Twisted convolution; Wiener's Lemma

Indexed keywords

EID: 33947633940     PISSN: 00269255     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00605-006-0438-0     Document Type: Article

References (14)

1. Christensen O (2003) An introduction to frames and Riesz bases. Basel: Birkhäuser
2. Daubechies I, Landau HJ, Landau Z (1995) Gabor time-frequency lattices and the Wexler-Raz Identity. J Four Anal Appl 1: 437-478
3. Davis PJ (1994) Circulant Matrices, 2nd edn. New York: Chelsea Publ
4. Feichtinger HG, Kozek W (1998) Quantization of TF-lattice invariant operators on elementary LCA groups. In: Feichtinger HG, Strohmer T (eds) Gabor Analysis and Algorithms: Theory and Applications, pp 233-266. Boston: Birkhäuser
5. Feichtinger HG, Strohmer T (1998) Gabor Analysis and Algorithms. Theory and Applications. Boston: Birkhäuser
6. Feichtinger HG, Strohmer T (2003) Advances in Gabor Analysis. Boston: Birkhäuser
7. Folland GB (1989) Harmonic Analysis in Phase Space. Princeton, NJ: Univ Press
8. Gröchenig K (2001) Foundations of Time-Frequency Analysis. Boston: Birkhäuser
9. Gröchenig K, Kozek W (1997) Weyl-Heisenberg Systems and Wiener's Lemma. Unpublished notes
10. Gröchenig K, Leinert M (2003) Wiener's Lemma for twisted convolution and Gabor frames. J Amer Math Soc 17: 1-18
11. Janssen AJEM (1995) Duality and biorthogonality for Weyl-Heisenberg Frames. J Fourier Anal Appl 1: 403-436
12. Werther T, Eldar YC, Subbanna N (2005) Dual Gabor Frames: Theory and computational aspects. IEEE Transactions on Signal Processing 53: 4147-4158
13. Werther T, Matusiak E, Subbanna N, Eldar YC (2005) A unified approach to dual Gabor windows. IEEE Transactions on Signal Processing, accepted for publication
14. Zibulski M, Zeevi YY (1997) Analysis of multiwindow Gabor-type schemes by frame methods, Appl Comp Harm Anal 4: 188-221