참고문헌
- L. Arambaic, On frames for countably generated Hilbert C*-modules, Proc. Amer. Math. Soc. 135 (2007), 469-478. https://doi.org/10.1090/S0002-9939-06-08498-X
- T. Bemrose, P. G. Casazza, K. Grochenig, M. C. Lammers and R. G. Lynch, Weaving frames, Oper. Matrices 10 (4) (2016), 1093-1116.
- H. Bolcskei, F. Hlawatsch and H. G. Feichtinger, Frame-theoretic analysis of oversampled filter banks, IEEE Trans. Signal Process. 46 (12) (1998), 3256-3268. https://doi.org/10.1109/78.735301
- J. S. Byrnes, Mathematics for multimedia signal processing II: Discrete finite frames and signal reconstruction, Signals Processing for Multimedia 174 (1999), 35-54.
- E. J. Candes and D. L. Donoho, New tight frames of curvelets and optimal representations of objects with piecewise C2 singularities, Commun. Pure Appl. Math. 57 (2) (2004), 219-266. https://doi.org/10.1002/cpa.10116
- P. G. Casazza, G. Kutyniok and Sh. Li, Fusion frames and distributed processing, Appl. Comput. Harmon. Anal. 25 (2008), 114-132. https://doi.org/10.1016/j.acha.2007.10.001
- P. G. Casazza and R. G. Lynch, Weaving properties of Hilbert space frames, Sampling Theory and Applications (SampTA) (2015), 110-114 IEEE.
- P. G. Casazza, D. Freeman and R. G. Lynch, Weaving Schauder frames, J. Approx. Theory 211 (2016), 42-60. https://doi.org/10.1016/j.jat.2016.07.001
- I. Daubechies, A. Grossmann and Y. Meyer, Painless nonorthogonal expansions, J. Math. Phys. 27 (1986), 1271-1283. https://doi.org/10.1063/1.527388
- R. J. Duffin and A.C. Schaeffer, A class of nonharmonic Fourier series, Trans. Amer. Math. Soc. 72 (1952), 341-366. https://doi.org/10.1090/S0002-9947-1952-0047179-6
- Y. C. Eldar, Sampling with arbitrary sampling and reconstruction spaces and oblique dual frame vectors, J. Fourier. Anal. Appl. 9 (1) (2003), 77-96. https://doi.org/10.1007/s00041-003-0004-2
- M. Frank and D. R. Larson, Frames in Hilbert C*-modules and C*-algebras, J. Operator Theory 48 (2002), 273-314.
- F. Ghobadzadeh, A. Najati, G. A. Anastassiou and C. Park, Woven frames in Hilbert C*-modules, J. Comput. Anal. Appl. 25 (2018), 1220-1232.
- I. Kaplansky, Algebra of type I, Annals of Math. 56 (1952), 460-472. https://doi.org/10.2307/1969654
- A. Khosravi and B. Khosravi, Fusion frames and g-frames in Hilbert C*-modules, Int. J. Wavelets Multiresol. Inf. Process. 6 (2008), 433-466. https://doi.org/10.1142/S0219691308002458
- S. Li and H. Ogawa, Pseudoframes for subspaces with applications, J. Fourier Anal. Appl. 10 (4) (2004), 409-431. https://doi.org/10.1007/s00041-004-3039-0
- D. Li, J. Leng and T. Huang, On weaving g-frames for Hilbert spaces, Complex Anal. Oper. Theory 14 (2) (2017), 1-25.
- W. Paschke, Inner product modules over B*-algebras, Trans. Amer. Math. Soc. 182 (1973), 443-468. https://doi.org/10.1090/S0002-9947-1973-0355613-0
- T. Strohmer and R. Jr. Heath, Grassmanian frames with applications to coding and communications, Appl. Comput. Harmon. Anal. 14 (2003), 257-275. https://doi.org/10.1016/S1063-5203(03)00023-X
- W. Sun, G-frames and g-Riesz bases, J. Math. Anal. Appl. 322 (1) (2006), 437-452. https://doi.org/10.1016/j.jmaa.2005.09.039