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Original Articles

Operator Characterizations, Rigidity and Constructions of (Ω,μ)-Frames

Pages 346-360 | Received 01 May 2016, Accepted 02 Aug 2017, Published online: 19 Sep 2017

References

  • S. T. Ali, J. P. Antoine, and J. P. Gazeau (1993). Continuous frames in Hilbert spaces. Ann. Phys. 222:1–37.
  • S. T. Ali, J. P. Antoine, and J. P. Gazeau (2000). Coherent States, Wavelets and Their Generalizations. Springer-Verlag, New York.
  • A. Askari-Hemmat, M. A. Dehghan, and M. Radjabalipour (2001). Generalized frames and their redundancy. Proc. Amer. Math. Soc. 129(4):1143–1147.
  • O. Christensen (2003). An Introduction to Frames and Riesz Bases. Birkhäuser, Boston.
  • I. Daubchies (1992). Ten Lectures on Wavelets. SIAM, Philadelphia.
  • I. Daubechies, A. Grossmann, and Y. Meyer (1986). Painless nonorthognal expansions. J. Math. Phys. 27:1271–1283.
  • R. J. Duffin and A. C. Shaffer (1952). A class of nonharmonic Fourier Series. Trans. Amer. Math. Soc. 72:341–366.
  • H. G. Feichtinger and T. Strohmer (1998). Gabor Analysis and Algorithms: Theory and Applications. Birkhäuser, Boston, MA.
  • M. Foranasier and H. Rauhut (2005). Continuous frames, function spaces, and the discretization problem. J. Fourier Anal. Appl. 11(3):245–287.
  • M. Frazier and B. Jawerth (1985). Decompositions of Besov spaces. Iniana Univ. Math. J. 34:777–799.
  • J. P. Gabardo and D. Han (2003). Frames associated with measurable space. Adv. Comp. Math. 18(3):127–147.
  • K. Grochenig (1991). Describing functions: Atomic decompositions versus frames. Monatshefte Math. 112:1–41.
  • G. Kaiser (2010). A Friendly Guide to Wavelets. Birkhäuser, Boston. Springer Science and Business Media.
  • P. Grohs (2011). Continuous shearlet tight frames. J. Fourier Anal. Appl. 17(3):506–518.
  • C. Heil and D. Walnut (1989). Continuous and discrete wavelet transforms. SIAM Rev. 31:628–666.
  • E. Hernández and G. Weiss (1996). A First Course on Wavelets. CRC Press, Boca Raton.
  • K. Thirulogasanthar and W. Bahsoun (2004). Continuous frames on Julia sets. J. Geom. Phys. 51:183–194.

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