Lu, Ran A simple method to construct multivariate dual framelets with high-order vanishing moments. (English) Zbl 1545.42032 Int. J. Wavelets Multiresolut. Inf. Process. 22, No. 4, Article ID 2450005, 38 p. (2024). MSC: 42C15 42C40 41A25 65D07 65T60 × Cite Format Result Cite Review PDF Full Text: DOI
Sarkar, Sudipta; Shukla, Niraj K. Translation generated oblique dual frames on locally compact groups. (English) Zbl 1547.43002 Linear Multilinear Algebra 72, No. 7, 1188-1219 (2024). Reviewer: Keith Taylor (Halifax) MSC: 43A32 42C15 47A15 43A65 46C05 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Ran A structural characterization of compactly supported OEP-based balanced dual multiframelets. (English) Zbl 1531.42060 Anal. Appl., Singap. 21, No. 4, 1039-1066 (2023). Reviewer: Hrvoje Šikić (Zagreb) MSC: 42C15 42C40 41A15 65D07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Diao, Chenzhe; Han, Bin; Lu, Ran Generalized matrix spectral factorization with symmetry and applications to symmetric quasi-tight framelets. (English) Zbl 1516.42026 Appl. Comput. Harmon. Anal. 65, 67-111 (2023). Reviewer: Richard A. Zalik (Auburn) MSC: 42C40 42C15 41A15 65D07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Ya-Nan; Li, Yun-Zhang A class of reproducing systems generated by a finite family in \(L^2 (\mathbb{R}_+)\). (English) Zbl 1517.42031 Bull. Malays. Math. Sci. Soc. (2) 46, No. 3, Paper No. 99, 37 p. (2023). Reviewer: Ashok Kumar Sah (New Delhi) MSC: 42C15 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Krivoshein, A.; Skopina, M. Wavelet approximation in Orlicz spaces. (English) Zbl 1518.42050 J. Math. Anal. Appl. 516, No. 1, Article ID 126473, 21 p. (2022). Reviewer: Manfred Tasche (Rostock) MSC: 42C40 42C15 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Yan; Li, Yun-Zhang Weak nonhomogeneous wavelet dual frames for Walsh reducing subspace of \(L^2(\mathbb{R}_+)\). (English) Zbl 1485.42055 Int. J. Wavelets Multiresolut. Inf. Process. 20, No. 1, Article ID 2150040, 19 p. (2022). MSC: 42C40 42C15 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Jianping A class of weak dual wavelet frames for reducing subspaces of Sobolev spaces. (English) Zbl 1482.42085 J. Funct. Spaces 2022, Article ID 1372184, 10 p. (2022). MSC: 42C15 42C40 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Bin; Lu, Ran Multivariate quasi-tight framelets with high balancing orders derived from any compactly supported refinable vector functions. (English) Zbl 1485.42051 Sci. China, Math. 65, No. 1, 81-110 (2022). Reviewer: Nenad Teofanov (Novi Sad) MSC: 42C40 42C15 41A25 41A35 15A23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, J. P. Nonhomogeneous dual wavelet frames with the \(p\)-refinable structure in \(L^2(\mathbb{R}^+)\). (English) Zbl 1479.42096 J. Contemp. Math. Anal., Armen. Acad. Sci. 56, No. 5, 307-317 (2021) and Izv. Nats. Akad. Nauk 56, No. 5, 76-88 (2021). Reviewer: Virender Dalal (Delhi) MSC: 42C40 42C15 42B10 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Bin; Lu, Ran Compactly supported quasi-tight multiframelets with high balancing orders and compact framelet transforms. (English) Zbl 1460.42055 Appl. Comput. Harmon. Anal. 51, 295-332 (2021). MSC: 42C40 42C15 41A25 41A35 65T60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arefijamaal, Ali Akbar; Razghandi, Atefe Existence of representation frames based on wave packet groups. (English) Zbl 1488.43003 Hacet. J. Math. Stat. 49, No. 5, 1825-1842 (2020). MSC: 43A30 42C15 × Cite Format Result Cite Review PDF Full Text: DOI
Diao, Chenzhe; Han, Bin Generalized matrix spectral factorization and quasi-tight framelets with a minimum number of generators. (English) Zbl 1446.42049 Math. Comput. 89, No. 326, 2867-2911 (2020). MSC: 42C40 42C15 47A68 41A15 65D07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Jianping; Jia, Huifang Nonhomogeneous wavelet dual frames and extension principles in reducing subspaces. (English) Zbl 1451.42043 J. Math. 2020, Article ID 1716525, 10 p. (2020). Reviewer: Pierluigi Vellucci (Roma) MSC: 42C15 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Diao, Chenzhe; Han, Bin Quasi-tight framelets with high vanishing moments derived from arbitrary refinable functions. (English) Zbl 1437.42052 Appl. Comput. Harmon. Anal. 49, No. 1, 123-151 (2020). MSC: 42C40 42C15 41A15 65D07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cui, Lihong; Li, Xuguang; Sun, Jianjun Construction of uniformly symmetric bi-frames based on multiresolution template algorithm. (English) Zbl 1481.65277 Int. J. Comput. Math. 96, No. 6, 1192-1216 (2019). MSC: 65T60 42C40 65D17 68U07 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Bin Gibbs phenomenon of framelet expansions and quasi-projection approximation. (English) Zbl 1428.42070 J. Fourier Anal. Appl. 25, No. 6, 2923-2956 (2019). MSC: 42C40 42C15 41A25 41A35 65T60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cui, Lihong; Wu, Qiaoyun; Liu, Jiale; Sun, Jianjun Dual wavelet frame transforms on manifolds and graphs. (English) Zbl 1458.42024 J. Math. 2019, Article ID 1637623, 12 p. (2019). Reviewer: Richard A. Zalik (Auburn) MSC: 42C40 42C15 41A50 65T60 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yun-Zhang; Zhao, Jing Vector-valued weak Gabor dual frames on discrete periodic sets. (English) Zbl 1423.42055 J. Math. Phys. 60, No. 7, 073501, 18 p. (2019). Reviewer: Paşc Găvruţă (Timişoara) MSC: 42C15 42C40 46B15 46C05 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yun-Zhang; Zhang, Jian-Ping Extension principles for affine dual frames in reducing subspaces. (English) Zbl 1405.42056 Appl. Comput. Harmon. Anal. 46, No. 1, 177-191 (2019). Reviewer: Nenad Teofanov (Novi Sad) MSC: 42C15 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
San Antolín, A.; Zalik, R. A. Compactly supported Parseval framelets with symmetry associated to \(E_d^{(2)}(\mathbb{Z})\) matrices. (English) Zbl 1428.42075 Appl. Math. Comput. 325, 179-190 (2018). MSC: 42C40 42C15 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yun-Zhang; Zhang, Wei \(F_a\)-frame and Riesz sequences in \(L^2(\mathbb{R}_+)\). (English) Zbl 1421.42020 Oper. Matrices 12, No. 4, 1043-1062 (2018). Reviewer: Yuri A. Farkov (Moscow) MSC: 42C40 42C15 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Bin; Michelle, Michelle Construction of wavelets and framelets on a bounded interval. (English) Zbl 1404.42065 Anal. Appl., Singap. 16, No. 6, 807-849 (2018). Reviewer: Manfred Tasche (Rostock) MSC: 42C40 41A15 × Cite Format Result Cite Review PDF Full Text: DOI
Radha, R. Wavelet frames and duals: a short survey. (English) Zbl 1403.42042 J. Anal. 26, No. 2, 297-312 (2018). MSC: 42C40 42C15 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yun-Zhang; Tian, Yu Weak affine super bi-frames for reducing subspaces of \(L^{2}(\mathbb R,\mathbb C^{L})\). (English) Zbl 1405.42055 Result. Math. 73, No. 3, Paper No. 96, 17 p. (2018). Reviewer: Anirudha Poria (Greater Noida) MSC: 42C15 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yun-Zhang; Zhang, Jian-Ping Nonhomogeneous dual wavelet frames and mixed oblique extension principles in Sobolev spaces. (English) Zbl 1409.42028 Appl. Anal. 97, No. 7, 1049-1073 (2018). Reviewer: Bin Han (Edmonton) MSC: 42C40 42C15 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Bin Homogeneous wavelets and framelets with the refinable structure. (English) Zbl 1397.42026 Sci. China, Math. 60, No. 11, 2173-2198 (2017). Reviewer: Richard A. Zalik (Auburn) MSC: 42C40 42C15 41A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Jian Ping; Li, Yun Zhang On a class of weak nonhomogeneous affine bi-frames for reducing subspaces of \(L^2(\mathbb R^d)\). (English) Zbl 1387.42048 Acta Math. Sin., Engl. Ser. 33, No. 10, 1339-1351 (2017). Reviewer: Bin Han (Edmonton) MSC: 42C40 42C15 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Jie; Zheng, Hongchan Biorthogonal wavelets and tight framelets from smoothed pseudo splines. (English) Zbl 1370.42031 J. Inequal. Appl. 2017, Paper No. 166, 14 p. (2017). MSC: 42C40 41A15 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Qiuhui; Dang, Pei; Qian, Tao A frame theory of Hardy spaces with the quaternionic and the Clifford algebra settings. (English) Zbl 1376.42009 Adv. Appl. Clifford Algebr. 27, No. 2, 1073-1101 (2017). MSC: 42A38 44A15 62P30 94A20 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yun-Zhang; Jia, Hui-Fang Weak nonhomogeneous wavelet bi-frames for reducing subspaces of Sobolev spaces. (English) Zbl 1364.42038 Numer. Funct. Anal. Optim. 38, No. 2, 181-204 (2017). MSC: 42C15 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Jian-Ping; Li, Yun-Zhang A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces. (English) Zbl 1352.42043 J. Inequal. Appl. 2016, Paper No. 288, 8 p. (2016). MSC: 42C40 42C15 × Cite Format Result Cite Review PDF Full Text: DOI
Atreas, Nikolaos D.; Papadakis, Manos; Stavropoulos, Theodoros Extension principles for dual multiwavelet frames of \(L_2(\mathbb R^s)\) constructed from multirefinable generators. (English) Zbl 1348.42030 J. Fourier Anal. Appl. 22, No. 4, 854-877 (2016). Reviewer: Peter Massopust (München) MSC: 42C15 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Christensen, Ole; Kim, Hong Oh; Kim, Rae Young On extensions of wavelet systems to dual pairs of frames. (English) Zbl 1347.42053 Adv. Comput. Math. 42, No. 2, 489-503 (2016). Reviewer: Bin Han (Edmonton) MSC: 42C15 42C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Fan, Zhitao; Heinecke, Andreas; Shen, Zuowei Duality for frames. (English) Zbl 1332.42024 J. Fourier Anal. Appl. 22, No. 1, 71-136 (2016). MSC: 42C15 42C40 42C30 65T60 × Cite Format Result Cite Review PDF Full Text: DOI
Khah, M. Amin; Hemmat, A. Askari; Tousi, R. Raisi On dual shearlet frames. (English) Zbl 1412.42080 J. Linear Topol. Algebra 4, No. 2, 159-163 (2015). MSC: 42C15 42C40 × Cite Format Result Cite Review PDF Full Text: Link
Han, Bin Algorithm for constructing symmetric dual framelet filter banks. (English) Zbl 1306.42058 Math. Comput. 84, No. 292, 767-801 (2015). MSC: 42C40 42C15 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Dayong; Li, Dengfeng Construction of periodic wavelet frames with dilation matrix. (English) Zbl 1311.42084 Front. Math. China 9, No. 1, 111-134 (2014). Reviewer: Bin Han (Edmonton) MSC: 42C15 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Jia, Hui-Fang; Li, Yun-Zhang Refinable function-based construction of weak (quasi-)affine bi-frames. (English) Zbl 1311.42081 J. Fourier Anal. Appl. 20, No. 6, 1145-1170 (2014). Reviewer: Bin Han (Edmonton) MSC: 42C15 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Krivoshein, A. V. On construction of multivariate symmetric MRA-based wavelets. (English) Zbl 1311.42089 Appl. Comput. Harmon. Anal. 36, No. 2, 215-238 (2014). Reviewer: Bin Han (Edmonton) MSC: 42C40 42C15 41A30 41A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Atreas, Nikolaos; Melas, Antonios; Stavropoulos, Theodoros Affine dual frames and extension principles. (English) Zbl 1294.42004 Appl. Comput. Harmon. Anal. 36, No. 1, 51-62 (2014). MSC: 42C15 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Youfa; Yang, Shouzhi; Yuan, Dehui Bessel multiwavelet sequences and dual multiframelets in Sobolev spaces. (English) Zbl 1263.42023 Adv. Comput. Math. 38, No. 3, 491-529 (2013). MSC: 42C40 42C15 94A12 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Bin Nonhomogeneous wavelet systems in high dimensions. (English) Zbl 1241.42028 Appl. Comput. Harmon. Anal. 32, No. 2, 169-196 (2012). Reviewer: Peter Massopust (München) MSC: 42C40 42C15 65T60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shi, Yan; Yang, Xiaoyuan The lifting factorization of wavelet bi-frames with arbitrary generators. (English) Zbl 1243.65171 Math. Comput. Simul. 82, No. 4, 570-589 (2011). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65T60 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Da-Yong; Fan, Qi-Bin A class of tight framelet packets. (English) Zbl 1249.42021 Czech. Math. J. 61, No. 3, 623-639 (2011). MSC: 42C15 42C40 × Cite Format Result Cite Review PDF Full Text: DOI EuDML Link
Krivoshein, A.; Skopina, M. Approximation by frame-like wavelet systems. (English) Zbl 1229.42035 Appl. Comput. Harmon. Anal. 31, No. 3, 410-428 (2011). Reviewer: Richard A. Zalik (Auburn) MSC: 42C20 42C15 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Mo, Qun; Li, Song Symmetric tight wavelet frames with rational coefficients. (English) Zbl 1221.42055 Appl. Comput. Harmon. Anal. 31, No. 2, 249-263 (2011). Reviewer: Youming Liu (Beijing) MSC: 42C15 42C20 × Cite Format Result Cite Review PDF Full Text: DOI
Goh, Say Song; Han, Bin; Shen, Zuowei Tight periodic wavelet frames and approximation orders. (English) Zbl 1221.42063 Appl. Comput. Harmon. Anal. 31, No. 2, 228-248 (2011). MSC: 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Xudong; Sun, Wenchang Convergence of Riemannian sums of inverse wavelet transforms. (English) Zbl 1217.42058 Sci. China, Math. 54, No. 4, 681-698 (2011). MSC: 42C40 42C15 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Bin Pairs of frequency-based nonhomogeneous dual wavelet frames in the distribution space. (English) Zbl 1197.42021 Appl. Comput. Harmon. Anal. 29, No. 3, 330-353 (2010). MSC: 42C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lai, Ming-Jun; Petukhov, Alexander The method of virtual components in the multivariate setting. (English) Zbl 1202.42055 J. Fourier Anal. Appl. 16, No. 4, 471-494 (2010). Reviewer: Victoria Paternostro (Buenos Aires) MSC: 42C15 42C30 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Bin The structure of balanced multivariate biorthogonal multiwavelets and dual multiframelets. (English) Zbl 1247.42040 Math. Comput. 79, No. 270, 917-951 (2010). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 42C40 65T60 94A08 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Weiqiang; Goh, Say Song Band-limited refinable functions for wavelets and framelets. (English) Zbl 1192.42021 Appl. Comput. Harmon. Anal. 28, No. 3, 338-345 (2010). Reviewer: Bin Han (Edmonton) MSC: 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Zhongyan; Dai, Xingde; Diao, Yuanan Intrinsic \(s\)-elementary Parseval frame multiwavelets in \(L^2(\mathbb R^d)\). (English) Zbl 1192.42023 J. Math. Anal. Appl. 367, No. 2, 677-684 (2010). Reviewer: Bin Han (Edmonton) MSC: 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Qingjiang; Wei, Zongtian; Feng, Jinshun A note on the standard dual frame of a wavelet frame with three-scale. (English) Zbl 1198.42028 Chaos Solitons Fractals 42, No. 2, 931-937 (2009). MSC: 42C15 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Bei; Sun, Wenchang Inversion of the wavelet transform using Riemannian sums. (English) Zbl 1171.65453 Appl. Comput. Harmon. Anal. 27, No. 3, 289-302 (2009). MSC: 65T60 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Zhihua; Saito, Naoki Constructions of periodic wavelet frames using extension principles. (English) Zbl 1183.42040 Appl. Comput. Harmon. Anal. 27, No. 1, 12-23 (2009). Reviewer: Bin Han (Edmonton) MSC: 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Bin; Shen, Zuowei Dual wavelet frames and Riesz bases in Sobolev spaces. (English) Zbl 1161.42018 Constr. Approx. 29, No. 3, 369-406 (2009). MSC: 42C40 41A15 41A63 42B35 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Bin Dual multiwavelet frames with high balancing order and compact fast frame transform. (English) Zbl 1154.42007 Appl. Comput. Harmon. Anal. 26, No. 1, 14-42 (2009). MSC: 42C40 65T50 × Cite Format Result Cite Review PDF Full Text: DOI
Ehler, Martin; Han, Bin Wavelet bi-frames with few generators from multivariate refinable functions. (English) Zbl 1221.42062 Appl. Comput. Harmon. Anal. 25, No. 3, 407-414 (2008). MSC: 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, XiePing; Cao, ChunHong Minimum-energy wavelet frame on the interval. (English) Zbl 1210.42055 Sci. China, Ser. F 51, No. 10, 1547-1562 (2008). MSC: 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Song; Xian, Jun Biorthogonal multiple wavelets generated by vector refinement equation. (English) Zbl 1131.42023 Sci. China, Ser. A 50, No. 7, 1015-1025 (2007). MSC: 42C40 41A10 41A15 41A25 × Cite Format Result Cite Review PDF Full Text: DOI
Lai, Ming-Jun; Stöckler, Joachim Construction of multivariate compactly supported tight wavelet frames. (English) Zbl 1106.42028 Appl. Comput. Harmon. Anal. 21, No. 3, 324-348 (2006). MSC: 42C40 42C30 × Cite Format Result Cite Review PDF Full Text: DOI
Goh, Say Song; Lim, Zhi Yuan; Shen, Zuowei Symmetric and antisymmetric tight wavelet frames. (English) Zbl 1106.42027 Appl. Comput. Harmon. Anal. 20, No. 3, 411-421 (2006). Reviewer: Bin Han (Edmonton) MSC: 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Bin; Mo, Qun Symmetric MRA tight wavelet frames with three generators and high vanishing moments. (English) Zbl 1057.42026 Appl. Comput. Harmon. Anal. 18, No. 1, 67-93 (2005). MSC: 42C40 42C15 41A15 41A25 × Cite Format Result Cite Review PDF Full Text: DOI
Selesnick, Ivan W.; Abdelnour, A. Farras Symmetric wavelet tight frames with two generators. (English) Zbl 1066.42027 Appl. Comput. Harmon. Anal. 17, No. 2, 211-225 (2004). MSC: 42C40 42C15 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Bin Compactly supported tight wavelet frames and orthonormal wavelets of exponential decay with a general dilation matrix. (English) Zbl 1021.42020 J. Comput. Appl. Math. 155, No. 1, 43-67 (2003). Reviewer: Ole Christensen (Lyngby) MSC: 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Daubechies, Ingrid; Han, Bin; Ron, Amos; Shen, Zuowei Framelets: MRA-based constructions of wavelet frames. (English) Zbl 1035.42031 Appl. Comput. Harmon. Anal. 14, No. 1, 1-46 (2003). Reviewer: Wojciech Czaja (Wrocław) MSC: 42C40 42C15 × Cite Format Result Cite Review PDF Full Text: DOI
Chui, Charles K.; He, Wenjie; Stöckler, Joachim Compactly supported tight and sibling frames with maximum vanishing moments. (English) Zbl 1016.42023 Appl. Comput. Harmon. Anal. 13, No. 3, 224-262 (2002). Reviewer: Wojciech Czaja (College Park) MSC: 42C40 41A15 × Cite Format Result Cite Review PDF Full Text: DOI
Daubechies, Ingrid; Han, Bin The canonical dual frame of a wavelet frame. (English) Zbl 1013.42023 Appl. Comput. Harmon. Anal. 12, No. 3, 269-285 (2002). Reviewer: Ole Christensen (Lyngby) MSC: 42C40 × Cite Format Result Cite Review PDF Full Text: DOI Link