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Reproducing pairs of measurable functions

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  1. Ali, S.T., Antoine, J-P., Gazeau, J-P.: Square integrability of group representations on homogeneous spaces, I: reproducing triples and frames. Ann. Inst. Henri Poincaré 55, 829–856 (1991)
  2. Ali S.T., Antoine J.P., Gazeau J.P., Continuous Frames in Hilbert Space, 10.1006/aphy.1993.1016
  3. Ali Syed Twareque, Antoine Jean-Pierre, Gazeau Jean-Pierre, Coherent States, Wavelets, and Their Generalizations, ISBN:9781461485346, 10.1007/978-1-4614-8535-3
  4. Antoine J.-P, Vandergheynst P, Wavelets on the 2-Sphere: A Group-Theoretical Approach, 10.1006/acha.1999.0272
  5. Antoine Jean-Pierre, Trapani Camillo, Partial Inner Product Spaces, ISBN:9783642051357, 10.1007/978-3-642-05136-4
  6. Antoine, J-P., Balazs, P.: Frames and semi-frames. J. Phys. A, Math. Theor. 44, 205201 (2011), Corrigendum: J. Phys. A, Math. Theor. 44, 479501 (2011)
  7. Antoine J.-P., Balazs P., Frames, Semi-Frames, and Hilbert Scales, 10.1080/01630563.2012.682128
  8. Antoine, J-P., Trapani, C.: Reproducing pairs of measurable functions and partial inner product spaces. Adv. Oper. Theory (2017, in press)
  9. Arefijamaal, A.A., Kamyabi Gol, R.A., Raisi Tousi, R., Tavallaei, N.: A new approach to continuous Riesz bases. J. Sci., Islamic Rep. Iran 24, 63–69 (2013)
  10. Askari-Hemmat A., Dehghan M. A., Radjabalipour M., 10.1090/s0002-9939-00-05689-6
  11. Bastiaans M.J., Gabor's expansion of a signal into Gaussian elementary signals, 10.1109/proc.1980.11686
  12. Bellomonte, G.: Bessel sequences, Riesz-like bases and operators in triplets of Hilbert spaces, preprint U. Palermo (2015)
  13. Bellomonte Giorgia, Trapani Camillo, Riesz-Like Bases in Rigged Hilbert Spaces, 10.4171/zaa/1564
  14. Christensen Ole, An Introduction to Frames and Riesz Bases, ISBN:9781461265009, 10.1007/978-0-8176-8224-8
  15. Gabardo Jean-Pierre, Han Deguang, 10.1023/a:1021312429186
  16. Gabor, D.: Theory of communication, part 1: the analysis of information. J. Inst. Electr. Eng., 3 93, 429–441 (1946)
  17. Gröchenig Karlheinz, Foundations of Time-Frequency Analysis, ISBN:9781461265689, 10.1007/978-1-4612-0003-1
  18. Hosseini Giv, H., Radjabalipour, M.: On the structure and properties of lower bounded analytic frames. Iran. J. Sci. Technol. 37A3, 227–230 (2013)
  19. Janssen A.J.E.M., Gabor representation of generalized functions, 10.1016/0022-247x(81)90130-x
  20. Kaiser, G.: A Friendly Guide to Wavelets. Birkhäuser, Boston (1994)
  21. Rahimi, A., Najati, A., Dehghan, Y.N.: Continuous frames in Hilbert spaces. Methods Funct. Anal. Topol. 12, 170–182 (2006)
  22. Speckbacher Michael, Balazs Peter, Reproducing pairs and the continuous nonstationary Gabor transform on LCA groups, 10.1088/1751-8113/48/39/395201
  23. Speckbacher, M., Balazs, P.: Reproducing pairs and Gabor systems at critical density, arXiv:1610.06697 (2016)
  24. Wiaux Y., Jacques L., Vandergheynst P., Correspondence Principle between Spherical and Euclidean Wavelets, 10.1086/432926
Bibliographic reference Antoine, Jean-Pierre ; Speckbacher, Michael ; Trapani, Camillo. Reproducing pairs of measurable functions. In: Acta Applicandae Mathematicae : an international survey journal on applying mathematics and mathematical applications, Vol. 150, p. 81-101 (2017)
Permanent URL http://hdl.handle.net/2078.1/183133