35
Views
0
CrossRef citations to date
0
Altmetric
Research Article

G-phase retrievable frames

&
Pages 151-163 | Received 29 Aug 2023, Accepted 02 Feb 2024, Published online: 22 Feb 2024

References

  • Duffin, R. J., Schaeffer, A. C. (1952). A class of nonharmonic Fourier series. Trans. Amer. Math. Soc. 72:341–366. DOI: 10.2307/1990760.
  • Casazza, P. G., Leonhard, M. T. (2006). Existence and construction of finite tight frames. J. Concr. Appl. Math. 4:277–289.
  • Casazza, P. G., Leon, M. (2010). Existence and construction of finite frames with a given frame operator. Int. J. Pure Appl. Math. 63:149–158.
  • Benedetto, J. J. (1993). Frame decomposition, sampling, and uncertainty principle inequalities. In: Benedetto, J. J., & Frazier, M. W., eds. Wavelets, Mathematics and Applications. Boca Raton, FL: CRC Press, pp. 247–304.
  • Benedetto, J., Fickus, M. (2003). Finite normalized tight frames. Adv. Comput. Math. 18(2–4):357–385. DOI: 10.1023/A:1021323312367.
  • Christensen, O. (2002). An Introduction to Frames and Riesz Bases. Boston, Basel, Berlin: Birkhäuser.
  • Heil, C., Walnut, D. (1969). Continuous and discrete wavelet transform. SIAM Rev. 31:628–666. DOI: 10.1137/1031129.
  • Sun, W. (2006). G-frames and G-Riesz bases. J. Math. Anal. Appl. 322:437–452. DOI: 10.1016/j.jmaa.2005.09.039.
  • Young, R. (1992). An Introduction to Nonharmonic Fourier Series. New York: Academic Press.
  • Balan, R., Casazza, P. G., Edidin, D. (2006). On signal reconstruction without phase. Appl. Comput. Harmonic Anal. 20:345–356. DOI: 10.1016/j.acha.2005.07.001.
  • Bates, R. H., Mnyama, D. (1986). The status of practical Fourier phase retrieval. In: Hawkes, W. H., ed. Advances in Electronics and Electron Physics, Vol. 67. New York: Academic Press, pp. 1–64.
  • Becchetti, C., Ricotti, L. P. (1994). Speech Recognition Theory and C++ Implementation. Boca Raton, FL: CRC Press.
  • Fienup, J. R. (1978). Reconstruction of an object from the modulus of its Fourier transform. Optics Lett. 3:27–29. DOI: 10.1364/ol.3.000027.
  • Renes, J. M., Blume-Kohout, R., Scott, A. J., Caves, C. M. (2004). Symmetric informationally complete quantum measurements. J. Math. Phys. 45:2171–2180. DOI: 10.1063/1.1737053.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.