Recovery of band-limited functions on locally compact Abelian groups from irregular samples

Czechoslovak Mathematical Journal

Volumn 53, Issue 2, 2003, Pages 249-264

  Feichtinger, H G ^a   Pandey, S S ^b  

^a UNIVERSITY OF VIENNA   (Austria)

^b RANI DURGAVATI UNIVERSITY   (India)

Author keywords

Band limited functions; Irregular sampling; Locally compact Abelian group; Solid Banach spaces

Indexed keywords

EID: 0042740395     PISSN: 00114642     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1026218900124     Document Type: Article

References (14)

1. A. Faridani: A generalized sampling theorem for locally compact Abelian groups. Mathh. Comp. 63 (1994), 307-327.
2. H. G. Feichtinger: Gewichtsfunktionen auf lokalkompakten Gruppen, Sitzgsber. Österr. Akad. Wiss. 188 (1979), 451-471.
3. H. G. Feichtinger: Banach convolution algebras of Wiener type. In: Proc. Conf. on Functions, Series, Operators, Budapest 1980, Colloq. Math. Soc. János Bolyai Vol. 35. North-Holland, Amsterdam, 1983, pp. 509-524.
4. H. G. Feichtinger: Characterization of minimal homogeneous Banach spaces. Proc. Amer. Math. Soc. 81 (1981), 55-61.
5. H. G. Feichtinger: Generalized amalgams, with applications to Fourier transform. Canad. J. Math. XLII (1990), 395-409.
6. H. G. Feichtinger. New results on regular and irregular sampling based on Wiener amalgams. In: Proc. Conf. Function spaces, Vol. 136 of Lect. Notes in Math. (K. Jarosz, ed.). M. Dekker, 1990, 1991, pp. 107-122.
7. H. G. Feichtinger and K. Gröchenig: Irregular sampling theorems and series expansions of band-limited functions. J. Math. Anal. Appl. 167 (1992), 530-556.
8. H. G. Feichtinger and K. Gröchenig: Error analysis in regular and irregular sampling theory. Appl. Anal. 50 (1993), 167-189.
9. H. G. Feichtinger and T. Werther: Improved locality for irregular sampling algorithms. In: Proc. ICASSP 1999, IEEE Int. Conf. on Acoustics, Speech, and Signal Processing, Istanbul, Turkey, June 1999.
10. H. G. Feichtinger and S. S. Pandey: Error estimates for irregular sampling of band-limited distribution on a locally compact Abelian group. J. Math. Anal. Appl. (2003). To appear.
11. C. Heil: An introduction to weighted Wiener amalgams. In: Proc. Int. Conf. on Wavelets and their Applications (Chennai, January 2002) (R. Ramakrishnan and S. Thangavelu, eds.). Allied Publishers, New Delhi.
12. I. Kluvánek: Sampling theorem in abstract harmonic analysis. Mat. Časopis Slov. Akad. Vied 15 (1969), 43-48.
13. H. Reiter and J. Stegeman: Classical Harmonic Analysis and Locally Compact Groups, 2nd Ed., London Mathematical Society Monographs. New Series. 22. Clarendon Press, Oxford, 2000.
14. T. Werther. Reconstruction from irregular samples with improved locality. Master Thesis. Vienna, 1999.