References
- Duffin RJ, Schaeffer AC. A class of nonharmonic Fourier series. Trans. Am. Math. Soc. 1952;72:341–366.
- Young R. An introduction to nonharmonic Fourier series. New York (NY): Academic Press; 2001.
- Daubechies I, Grossmann A, Meyer Y. Painless nonorthogonal expansion. J. Math. Phys. 1986;27:1271–1283.
- Daubechies I. The wavelet transformation, time-frequency localization and signal analysis. IEEE Trans. Inform. Theory. 1990;36:961–1005.
- Daubechies I. Ten lectures on wavelets. Philadelphia (PA): SIAM; 1992.
- Heil C, Walnut D. Continuous and discrete wavelet transforms. SIAM Rev. 1989;31:628–666.
- Li DF, Xue MZ. Bases and frames in Banach spaces. Beijing: Science Press; 2007.
- Casazza PG, Kutyniok G, editors. Finite frames: theory and applications. Boston: Birkhäuser; 2012.
- Lu DY, Li DF. Construction of periodic wavelet frames with dilation matrix. Front. Math. Chin. 2014;9:111–134.
- Lu DY, Li DF. A characterization of orthonormal wavelet families in sobolev spaces. Acta Math. Sci. 2011;31:1475–1488.
- Candès EJ, Demanet LL. The curvelet representation of wave propagators is optimally sparse. Commun. Pure Appl. Math. 2005;58:1472–1528.
- Guo K, Labate D. Representation of Fourier integral operators using shearlets. J. Fourier Anal. Appl. 2008;14:327–371.
- Hernández E, Labate D, Weiss G. A unified characterization of reproducing systems generated by a finite family. II. J. Geometric Anal. 2002;12:615–662.
- Christensen O, Eldar YC. Generalized shift-invariant systems and frames for subspaces. J. Fourier Anal. Appl. 2005;11:299–313.
- Saliani S. Parseval frames built up from generalized shift-invariant systems. Mediterr. J. Math. 2014;11:617–632.
- Candès EJ, Demanet L, Donoho DL, et al. Fast discrete curvelet transforms. Multiscale Moded. Simul. 2006;5:861–899.
- Dou X, Jia J, Liu Y. Spline wavelets in l2(ℤ). J. Math. Anal. Appl. 2006;321:59–74.
- Kutyniok G, Labate D. Shearlets: multiscale analysis for multivariate data. Boston: Birkhäuser; 2012.
- Han B, Kutyniok G, Shen Z. Adaptive multiresolution analysis structures and shearlet systems. SIAM J. Numer. Anal. 2011;49:1921–1946.
- Han B. Properties of discrete framelet transforms. Math. Model. Nat. Phenom. 2013;81:18–47.
- Zygmund A. Trigonometric series, I, II. 2nd ed. Cambridge: Cambridge University Press; 1968.