Garg, Kartik; Kumar, Raj; Satyapriya Dyadic Riesz wavelets on local fields of positive characteristics. (English) Zbl 07944623 Aust. J. Math. Anal. Appl. 21, No. 2, Paper No. 17, 20 p. (2024). MSC: 42C15 42C40 43A70 11S85 × Cite Format Result Cite Review PDF Full Text: Link
Zhang, Zhihua Fully symmetric frame scaling functions and derived framelets. (English) Zbl 1543.42045 Int. J. Wavelets Multiresolut. Inf. Process. 22, No. 3, Article ID 2350058, 19 p. (2024). MSC: 42C15 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Jindal, D.; Vashisht, L. K. Nonstationary matrix-valued multiresolution analysis from the extended affine group. (English) Zbl 07857924 Anal. Math. 50, No. 1, 189-213 (2024). Reviewer: Richard A. Zalik (Auburn) MSC: 42C15 42C30 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Andrianov, Pavel Andreevich On construction of multidimensional periodic wavelet frames. (Russian. English summary) Zbl 1520.42019 Chebyshevskiĭ Sb. 23, No. 1(82), 21-32 (2022). MSC: 42C40 42C15 × Cite Format Result Cite Review PDF Full Text: DOI MNR Link
Yadav, G. C. S.; Dwivedi, Amita A construction of admissible frame scaling sets on reducing subspaces of \(L^2(\mathbb{R})\). (English) Zbl 1524.42079 Gaṇita 72, No. 1, 223-231 (2022). MSC: 42C40 42C15 × Cite Format Result Cite Review PDF Full Text: Link
Ahmad, Owais; Sheikh, Neyaz Ahmad Generalized multiresolution structures in reducing subspaces of local fields. (English) Zbl 1512.42053 Acta Math. Sin., Engl. Ser. 38, No. 12, 2163-2186 (2022). Reviewer: Azhar Y. Tantary (Srinagar) MSC: 42C40 42C15 43A70 × Cite Format Result Cite Review PDF Full Text: DOI
Kumar, Raj; Satyapriya; Shah, Firdous A. Explicit construction of wavelet frames on locally compact abelian groups. (English) Zbl 1493.42048 Anal. Math. Phys. 12, No. 3, Paper No. 83, 29 p. (2022). Reviewer: Azhar Y. Tantary (Srinagar) MSC: 42C15 42C40 43A70 22B05 × Cite Format Result Cite Review PDF Full Text: DOI
Murugan, S. Pitchai; Youvaraj, G. P. Frame multiresolution analysis of continuous piecewise linear functions. (English) Zbl 1491.42048 Int. J. Wavelets Multiresolut. Inf. Process. 19, No. 6, Article ID 2150032, 21 p. (2021). Reviewer: Patricia Mariela Morillas (San Luis) MSC: 42C40 42C15 41A05 94A12 × Cite Format Result Cite Review PDF Full Text: DOI
Kumar, Raj; Satyapriya Construction of a frame multiresolution analysis on locally compact Abelian groups. (English) Zbl 1474.42123 Aust. J. Math. Anal. Appl. 18, No. 1, Article No. 5, 19 p. (2021). MSC: 42C15 42C40 22B05 × Cite Format Result Cite Review PDF Full Text: Link
Chen, Huan; Chen, Qingjiang Characterization for high dimensional semi-orthogonal wave packet frames. (Chinese. English summary) Zbl 1474.42119 J. Lanzhou Univ. Technol. 46, No. 6, 159-167 (2020). MSC: 42C15 × Cite Format Result Cite Review PDF
Zhang, Ziyang; Li, Zhongyan A parametrization of Parseval frame multiresolution. (English) Zbl 1463.42085 Math. Pract. Theory 50, No. 12, 233-238 (2020). MSC: 42C15 42C40 × Cite Format Result Cite Review PDF
Yadav, G. C. S.; Dwivedi, Amita Construction of three interval frame scaling sets. (English) Zbl 1446.42054 Int. J. Wavelets Multiresolut. Inf. Process. 18, No. 4, Article ID 2050029, 10 p. (2020). MSC: 42C40 42C15 × Cite Format Result Cite Review PDF Full Text: DOI
Yu, Xiaojiang Multiscaling frame multiresolution analysis and associated wavelet frames. (English) Zbl 1446.42047 Int. J. Wavelets Multiresolut. Inf. Process. 18, No. 3, Article ID 2050009, 39 p. (2020). MSC: 42C15 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Hui; Qiu, Jinling The sufficient conditions for the existence of tight multiple periodic frames. (Chinese. English summary) Zbl 1449.42063 J. Cent. China Norm. Univ., Nat. Sci. 53, No. 6, 852-856, 863 (2019). MSC: 42C15 × Cite Format Result Cite Review PDF Full Text: DOI
Pathak, Ashish; Kumar, Dileep Characterization of multiwavelets and MRA wavelets in \(H^s(\mathbb{F})\). (English) Zbl 1426.42031 Int. J. Appl. Comput. Math. 5, No. 6, Paper No. 143, 17 p. (2019). MSC: 42C40 42C15 42B10 11S85 43A70 × Cite Format Result Cite Review PDF Full Text: DOI
Ji, Hui; Shen, Zuowei; Zhao, Yufei Digital Gabor filters do generate MRA-based wavelet tight frames. (English) Zbl 1416.42036 Appl. Comput. Harmon. Anal. 47, No. 1, 87-108 (2019). MSC: 42C15 94A12 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Younus Bhat, M. Necessary condition and sufficient conditions for nonuniform wavelet frames in \(L^2(K)\). (English) Zbl 1382.42024 Int. J. Wavelets Multiresolut. Inf. Process. 16, No. 1, Article ID 1850005, 24 p. (2018). MSC: 42C40 42C15 43A70 11S85 × Cite Format Result Cite Review PDF Full Text: DOI
Song, Liang; Feng, Jinshun; Cheng, Zhengxing Existence and stability for multiple Gabor frames. (Chinese. English summary) Zbl 1399.42099 J. Shandong Univ., Nat. Sci. 52, No. 8, 17-24 (2017). MSC: 42C15 × Cite Format Result Cite Review PDF Full Text: DOI
Pesenson, Isaac Frames: theory and practice. (English) Zbl 1386.42024 Pesenson, Isaac (ed.) et al., Frames and other bases in abstract and function spaces. Novel methods in harmonic analysis. Volume 1. Basel: Birkhäuser/Springer (ISBN 978-3-319-55549-2/hbk; 978-3-319-55550-8/ebook; 978-3-319-55860-8/set). Applied and Numerical Harmonic Analysis, 3-12 (2017). Reviewer: Anirudha Poria (Greater Noida) MSC: 42C15 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Qingjiang; Li, Tingting; Lei, Xiaoting Characterization for minimum-energy bivariate framelets. (Chinese. English summary) Zbl 1389.42061 Math. Appl. 30, No. 3, 595-602 (2017). MSC: 42C15 42C40 × Cite Format Result Cite Review PDF
Azarmi, Hamide; Janfada, Mohammad; Kamyabi-Gol, Radjab Ali Frame of translates and FMRA on \(L^2(\mathbb{R},\mathbb{C}^N)\) as a Hilbert \(M_n(\mathbb{C})\)-module. (English) Zbl 1373.42033 Int. J. Wavelets Multiresolut. Inf. Process. 15, No. 3, Article ID 1750026, 26 p. (2017). Reviewer: Morteza Mirzaee Azandaryani (Qom) MSC: 42C15 × Cite Format Result Cite Review PDF Full Text: DOI
Song, Liang; Zhang, Guixia; Cheng, Zhengxing On matrix frequency multipliers concerning multiple tight bivariate wavelet frames. (Chinese. English summary) Zbl 1363.42014 Math. Pract. Theory 46, No. 2, 270-277 (2016). MSC: 42B15 42C15 × Cite Format Result Cite Review PDF
Shah, Firdous A.; Bhat, M. Younus Semi-orthogonal wavelet frames on local fields. (English) Zbl 1346.42050 Analysis, München 36, No. 3, 173-181 (2016). Reviewer: Devendra Kumar (Al-Baha) MSC: 42C40 42C15 43A70 11S85 × Cite Format Result Cite Review PDF Full Text: DOI
Christensen, Ole An introduction to frames and Riesz bases. 2nd edition. (English) Zbl 1348.42033 Applied and Numerical Harmonic Analysis. Basel: Birkhäuser/Springer (ISBN 978-3-319-25611-5/hbk; 978-3-319-25613-9/ebook). xxv, 704 p. (2016). Reviewer: Richard A. Zalik (Auburn) MSC: 42C15 42-02 42C40 46B15 46C05 × Cite Format Result Cite Review PDF Full Text: DOI
Shah, Firdous A. On characterization of multiwavelet packets associated with a dilation matrix. (English) Zbl 1413.42064 J. Nonlinear Anal. Optim. 6, No. 1, 11-26 (2015). MSC: 42C40 42C15 65T60 × Cite Format Result Cite Review PDF Full Text: Link
Shah, F. A. \(p\)-frame multiresolution analysis related to the Walsh functions. (English) Zbl 1379.42020 Int. J. Anal. Appl. 7, No. 1, 1-15 (2015). MSC: 42C15 42C40 42A38 41A17 × Cite Format Result Cite Review PDF Full Text: Link
Zhao, Tao; Xue, Gaixian Parseval frame wavelets with composite dilations. (Chinese. English summary) Zbl 1349.42073 Math. Pract. Theory 45, No. 13, 226-232 (2015). MSC: 42C15 42C40 × Cite Format Result Cite Review PDF
Xue, Yanmei Explicit construction of wavelet tight frames with dilation factor \(\alpha\) in \(\mathbf{R}^n\). (Chinese. English summary) Zbl 1349.42070 J. Nanjing Univ. Inf. Sci. Technol., Nat. Sci. 7, No. 5, 475-480 (2015). MSC: 42C15 42C40 × Cite Format Result Cite Review PDF
Luthy, Peter M.; Weiss, Guido L.; Wilson, Edward N. Projections and dyadic Parseval frame MRA wavelets. (English) Zbl 1330.42023 Appl. Comput. Harmon. Anal. 39, No. 3, 511-533 (2015). Reviewer: Richard A. Zalik (Auburn) MSC: 42C40 42C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sharma, Vikram; Manchanda, P. Nonuniform wavelet frames in \(L^{2}(\mathbb{R})\). (English) Zbl 1337.42033 Asian-Eur. J. Math. 8, No. 2, Article ID 1550034, 15 p. (2015). Reviewer: Mehdi Rashidi-Kouchi (Kerman) MSC: 42C40 42C15 42A38 × Cite Format Result Cite Review PDF Full Text: DOI
Behera, Biswaranjan; Jahan, Qaiser Characterization of wavelets and MRA wavelets on local fields of positive characteristic. (English) Zbl 1308.42029 Collect. Math. 66, No. 1, 33-53 (2015). Reviewer: Yuri A. Farkov (Moscow) MSC: 42C40 42C15 43A70 11S85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gordillo, María Luisa Irregular multiresolution analysis and associated wavelet. (English) Zbl 1305.42036 Arab. J. Math. 3, No. 1, 23-37 (2014). Reviewer: Richard A. Zalik (Auburn) MSC: 42C40 42C30 × Cite Format Result Cite Review PDF Full Text: DOI
Shah, F. A.; Debnath, Lokenath Tight wavelet frames on local fields. (English) Zbl 1277.42047 Analysis, München 33, No. 3, 293-307 (2013). Reviewer: Yuri A. Farkov (Moskva) MSC: 42C40 42C15 43A70 11S85 × Cite Format Result Cite Review PDF Full Text: DOI
Fu, Zuoxian; Deng, Caixia; Tang, Yuanyan A method for construction of bivariate N-band wavelet tight frames. (English) Zbl 1274.65354 Int. J. Wavelets Multiresolut. Inf. Process. 11, No. 3, Article ID 1350023, 19 p. (2013). Reviewer: Manfred Tasche (Rostock) MSC: 65T60 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Fengying; Li, Yunzhang Generalized multiresolution structures in reducing subspaces of \(L^2(\mathbb R^d)\). (English) Zbl 1279.42046 Sci. China, Math. 56, No. 3, 619-638 (2013). Reviewer: Hrvoje Šikić (Zagreb) MSC: 42C40 42C15 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Zhanwei; Mu, Xiaomin; Wu, Guochang MRA Parseval frame multiwavelets in \(L^2 (\mathbb R^d)\). (English) Zbl 1297.42050 Bull. Iran. Math. Soc. 38, No. 4, 1021-1045 (2012). MSC: 42C40 42A38 42C15 × Cite Format Result Cite Review PDF Full Text: Link
Yang, Miao; Huang, Yongdong; Cheng, Zhengxing Explicit construction of bivariate wavelet tight frames with a special dilation matrix. (Chinese. English summary) Zbl 1289.42101 Numer. Math., Nanjing 34, No. 3, 193-213 (2012). MSC: 42C15 42C40 × Cite Format Result Cite Review PDF
Huang, Na; Liu, Zhenxian; Cheng, Zhengxing; Chen, Qingjiang Existence of trivariate tight framelets associated with integer-valued dilation matrix. (Chinese. English summary) Zbl 1289.42107 Math. Pract. Theory 42, No. 11, 191-197 (2012). MSC: 42C40 42C15 × Cite Format Result Cite Review PDF
Li, Zhongyan; Shi, Xianliang Parseval frame wavelet multipliers in \( L^2(\mathbb {R}^d)\). (English) Zbl 1259.42023 Chin. Ann. Math., Ser. B 33, No. 6, 949-960 (2012). MSC: 42C15 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Behera, Biswaranjan; Jahan, Qaiser Wavelet packets and wavelet frame packets on local fields of positive characteristic. (English) Zbl 1247.42034 J. Math. Anal. Appl. 395, No. 1, 1-14 (2012). Reviewer: Yuri A. Farkov (Moscow) MSC: 42C40 42C15 11S99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Yun-Zhang; Zhang, Lin An embedding theorem on reducing subspace frame multiresolution analysis. (English) Zbl 1242.42035 Kodai Math. J. 35, No. 1, 157-172 (2012). Reviewer: Joseph Lakey (Las Cruces) MSC: 42C40 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Allard, William K.; Chen, Guangliang; Maggioni, Mauro Multi-scale geometric methods for data sets. II: Geometric multi-resolution analysis. (English) Zbl 1242.42038 Appl. Comput. Harmon. Anal. 32, No. 3, 435-462 (2012). Reviewer: Joseph Lakey (Las Cruces) MSC: 42C99 42C40 68T05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhuang, Zhitao; Li, Yunzhang An embedding theorem of a class of bidimensional frame multiresolution analyses. (Chinese. English summary) Zbl 1240.42189 Acta Math. Sci., Ser. A, Chin. Ed. 31, No. 2, 528-539 (2011). MSC: 42C40 42C15 × Cite Format Result Cite Review PDF
He, Yongtao Compactly supported minimum energy frame. (Chinese. English summary) Zbl 1240.42167 Math. Numer. Sin. 33, No. 2, 165-176 (2011). MSC: 42C40 65T60 42C15 × Cite Format Result Cite Review PDF
San Antolín, Angel On low pass filters in a frame multiresolution analysis. (English) Zbl 1229.42034 Tohoku Math. J. (2) 63, No. 3, 427-439 (2011). MSC: 42C15 47A75 42B99 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Zuowei Wavelet frames and image restorations. (English) Zbl 1228.42036 Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. IV: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-34-2/hbk; 978-81-85931-08-3/hbk; 978-981-4324-31-1/set; 978-981-4324-35-9/ebook). 2834-2863 (2011). Reviewer: Manfred Tasche (Rostock) MSC: 42C15 42C40 90C90 94A08 × Cite Format Result Cite Review PDF
Jiang, Qingtang; Pounds, Dale K. Highly symmetric bi-frames for triangle surface multiresolution processing. (English) Zbl 1238.42018 Appl. Comput. Harmon. Anal. 31, No. 3, 370-391 (2011). Reviewer: Bin Han (Edmonton) MSC: 42C40 42C15 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yun-Zhang; Zhou, Feng-Ying GMRA-based construction of framelets in reducing subspaces of \(L^{2}(\mathbb R^{d})\). (English) Zbl 1246.42035 Int. J. Wavelets Multiresolut. Inf. Process. 9, No. 2, 237-268 (2011). MSC: 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Deguang; Sun, Qiyu; Tang, Wai-Shing Topological and geometric properties of refinable functions and MRA affine frames. (English) Zbl 1221.42053 Appl. Comput. Harmon. Anal. 30, No. 2, 151-174 (2011). Reviewer: Alexander Ulanovskii (Stavanger) MSC: 42C15 42C40 41A65 × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Qingtang Wavelet bi-frames with uniform symmetry for curve multiresolution processing. (English) Zbl 1204.65168 J. Comput. Appl. Math. 235, No. 6, 1653-1675 (2011). MSC: 65T60 65D17 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
He, Yongtao Construction of \(N\)-dimensional two-band tight wavelet frames. (Chinese. English summary) Zbl 1240.42166 J. Syst. Sci. Math. Sci. 30, No. 10, 1368-1378 (2010). MSC: 42C40 42C15 × Cite Format Result Cite Review PDF
Lu, Dayong; Fan, Qibin Two schemes for lifting frames. (Chinese. English summary) Zbl 1240.42150 Acta Math. Sci., Ser. A, Chin. Ed. 30, No. 3, 603-612 (2010). MSC: 42C15 42C40 × Cite Format Result Cite Review PDF
Kamyabi-Gol, R. A.; Tousi, R. Raisi Some equivalent multiresolution conditions on locally compact Abelian groups. (English) Zbl 1206.43005 Proc. Indian Acad. Sci., Math. Sci. 120, No. 3, 317-331 (2010). Reviewer: Dashan Fan (Milwaukee) MSC: 43A75 × Cite Format Result Cite Review PDF Full Text: DOI
Yu, Xiaojiang Semiorthogonal multiresolution analysis frames in higher dimensions. (English) Zbl 1194.42041 Acta Appl. Math. 111, No. 3, 257-286 (2010). MSC: 42C15 42C40 94A12 94A08 15B36 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Hong Oh; Kim, Rae Young; Lim, Jae Kun New look at the constructions of multiwavelet frames. (English) Zbl 1191.42015 Bull. Korean Math. Soc. 47, No. 3, 563-573 (2010). MSC: 42C15 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Guochang; Xu, Sumei; Yang, Xiaohui Classifying Parseval frame multiwavelet associated with FMRA. (Chinese. English summary) Zbl 1212.42096 J. Henan Norm. Univ., Nat. Sci. 37, No. 6, 25-27 (2009). MSC: 42C40 × Cite Format Result Cite Review PDF
Liu, Zhan-wei; Tian, Jin-yu Parseval frame wavelets associated with GMRA. (Chinese. English summary) Zbl 1187.42035 J. Henan Univ., Nat. Sci. 39, No. 5, 441-445 (2009). MSC: 42C40 × Cite Format Result Cite Review PDF
Guochang, Wu; Xiaohui, Yang; Zhanwei, Liu MRA Parseval frame wavelets and their multipliers in \(L^2(\mathbb R^n)\). (English) Zbl 1183.93124 Math. Probl. Eng. 2009, Article ID 492585, 17 p. (2009). MSC: 93E11 65T60 × Cite Format Result Cite Review PDF Full Text: DOI
Reinoso, J. F.; Moncayo, M.; Pasadas, M.; Ariza, F. J.; García, J. L. The frenet frame beyond classical differential geometry: application to cartographic generalization of roads. (English) Zbl 1173.65010 Math. Comput. Simul. 79, No. 12, 3556-3566 (2009). MSC: 65D17 × 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
Chen, Qingjiang; Li, Jie A sufficient condition for the existence of bivariate tight wavelet frames. (Chinese. English summary) Zbl 1199.42140 J. Yunnan Univ., Nat. Sci. 30, No. 3, 217-223 (2008). MSC: 42C40 × Cite Format Result Cite Review PDF
Wang, Gang The construction of bivariate three-band wavelet tight frames. (Chinese. English summary) Zbl 1174.42356 Acta Math. Appl. Sin. 31, No. 2, 290-305 (2008). MSC: 42C40 65T60 × Cite Format Result Cite Review PDF
Zhang, Zhihua A pair of quasi-biorthogonal frame wavelets. (Chinese. English summary) Zbl 1164.42027 Acta Math. Sin., Chin. Ser. 51, No. 1, 81-90 (2008). MSC: 42C15 42C40 65T60 × Cite Format Result Cite Review PDF
Huang, Yongdong; Cheng, Zhengxing Explicit construction of wavelet tight frames with dilation factor \(\alpha\). (Chinese. English summary) Zbl 1174.42350 Acta Math. Sci., Ser. A, Chin. Ed. 27, No. 1, 7-18 (2007). MSC: 42C40 65T60 × Cite Format Result Cite Review PDF
Zalik, R. A. On MRA Riesz wavelets. (English) Zbl 1136.42032 Proc. Am. Math. Soc. 135, No. 3, 787-793 (2007). MSC: 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Bakić, Damir Semi-orthogonal parseval frame wavelets and generalized multiresolution analyses. (English) Zbl 1106.42026 Appl. Comput. Harmon. Anal. 21, No. 3, 281-304 (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
Chui, Charles K.; Sun, Qiyu Affine frame decompositions and shift-invariant spaces. (English) Zbl 1091.42021 Appl. Comput. Harmon. Anal. 20, No. 1, 74-107 (2006). Reviewer: Richard A. Zalik (Auburn University) MSC: 42C15 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Bakić, Damir On admissible generalized multiresolution analyses. (English) Zbl 1109.42009 Grazer Math. Ber. 348, 15-30 (2005). MSC: 42C40 65T60 × Cite Format Result Cite Review PDF
Baggett, Lawrence; Jørgensen, Palle; Merrill, Kathy; Packer, Judith A non-MRA \(c^r\) frame wavelet with rapid decay. (English) Zbl 1100.42029 Acta Appl. Math. 89, No. 1-3, 251-270 (2005). Reviewer: Ole Christensen (Lyngby) MSC: 42C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rauhut, Holger Time-frequency and wavelet analysis of functions with symmetry properties. (English) Zbl 1094.42030 Berlin: Logos Verlag; München: TU München, Zentrum Mathematik (Dissertation 2004) (ISBN 3-8325-0778-7/pbk). x, 194 p. (2005). Reviewer: Manfred Tasche (Rostock) MSC: 42C40 42C15 43A15 43A62 43A65 × Cite Format Result Cite Review PDF
Zhang, Zhihua; Mu, Lehua; Zhang, Peixuan Construction of \(p\)-band frame wavelet consisting of the fewest functions. (English) Zbl 1088.42026 Indian J. Pure Appl. Math. 36, No. 5, 261-277 (2005). Reviewer: Qiyu Sun (Orlando) MSC: 42C40 × Cite Format Result Cite Review PDF
Kim, Hong Oh; Kim, Rae Young; Lim, Jae Kun On the spectrums of frame multiresolution analyses. (English) Zbl 1061.42018 J. Math. Anal. Appl. 305, No. 2, 528-545 (2005). MSC: 42C15 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Cifuentes, P.; Kazarian, K. S.; San Antolín, A. Characterization of scaling functions in a multiresolution analysis. (English) Zbl 1065.42022 Proc. Am. Math. Soc. 133, No. 4, 1013-1023 (2005). MSC: 42C15 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Gu, Qing; Han, Deguang Frames, modular functions for shift-invariant subspaces and FMRA wavelet frames. (English) Zbl 1060.42027 Proc. Am. Math. Soc. 133, No. 3, 815-825 (2005). Reviewer: Ole Christensen (Lyngby) MSC: 42C40 47B38 × Cite Format Result Cite Review PDF Full Text: DOI
Opfer, Roland Multiscale kernels. (English) Zbl 1097.65553 Aachen: Shaker Verlag; Göttingen: Univ. Göttingen, Mathematisch-Naturwissenschaftliche Fakultät (Diss.) (ISBN 3-8322-3521-3/pbk). vi, 112 p. (2004). MSC: 65T60 41A65 42C40 × Cite Format Result Cite Review PDF Full Text: Link
Guo, Kanghui; Labate, Demetrio; Lim, Wang-Q; Weiss, Guido; Wilson, Edward Wavelets with composite dilations. (English) Zbl 1066.42023 Electron. Res. Announc. Am. Math. Soc. 10, 78-87 (2004). MSC: 42C40 × Cite Format Result Cite Review PDF Full Text: DOI EuDML EMIS
Pandey, S. S. Frame multiresolution analysis and infinite trees in Banach spaces on locally compact abelian groups. (English) Zbl 1063.43002 Anal. Theory Appl. 20, No. 3, 231-241 (2004). MSC: 43A15 46E15 22B05 × Cite Format Result Cite Review PDF Full Text: DOI
González, Alfredo L.; Zalik, Richard A. Riesz bases, multiresolution analyses, and perturbation. (English) Zbl 1067.42025 Heil, Christopher (ed.) et al., Wavelets, frames and operator theory. Papers from the Focused Research Group Workshop, University of Maryland, College Park, MD, USA, January 15–21, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3380-4/pbk). Contemporary Mathematics 345, 163-181 (2004). Reviewer: Ole Christensen (Lyngby) MSC: 42C40 × Cite Format Result Cite Review PDF
Casazza, Peter G.; Kutyniok, Gitta Frames of subspaces. (English) Zbl 1058.42019 Heil, Christopher (ed.) et al., Wavelets, frames and operator theory. Papers from the Focused Research Group Workshop, University of Maryland, College Park, MD, USA, January 15–21, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3380-4/pbk). Contemporary Mathematics 345, 87-113 (2004). MSC: 42C15 42C40 × Cite Format Result Cite Review PDF Full Text: arXiv
Papadakis, Manos Generalized frame multiresolution analysis of abstract Hilbert spaces. (English) Zbl 1069.42027 Benedetto, John J. (ed.) et al., Sampling, wavelets and tomography. Boston: Birkhäuser (ISBN 0-8176-4304-4/hbk). Applied and Numerical Harmonic Analysis, 179-223 (2004). Reviewer: Ole Christensen (Lyngby) MSC: 42C40 42C15 × Cite Format Result Cite Review PDF
Hardin, Douglas P.; Hogan, Thomas A.; Sun, Qiyu The matrix-valued Riesz lemma and local orthonormal bases in shift-invariant spaces. (English) Zbl 1036.42035 Adv. Comput. Math. 20, No. 4, 367-384 (2004). MSC: 42C40 15A23 47A68 × Cite Format Result Cite Review PDF Full Text: DOI
Mu, Lehua; Zhang, Zhihua; Zhang, Peixuan On the higher-dimensional wavelet frames. (English) Zbl 1040.42034 Appl. Comput. Harmon. Anal. 16, No. 1, 44-59 (2004). Reviewer: Ole Christensen (Lyngby) MSC: 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Ashino, R.; Desjardins, S. J.; Heil, C.; Nagase, M.; Vaillancourt, R. Smooth tight frame wavelets and image microanalysis in the Fourier domain. (English) Zbl 1044.42027 Comput. Math. Appl. 45, No. 10-11, 1551-1579 (2003). MSC: 42C40 94A08 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Hong Oh; Kim, Rae Young; Lim, Jae Kun Local analysis of frame multiresolution analysis with a general dilation matrix. (English) Zbl 1026.42030 Bull. Aust. Math. Soc. 67, No. 2, 285-295 (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
Paluszyński, Maciej; Šikić, Hrvoje; Weiss, Guido; Xiao, Shaoliang Tight frame wavelets, their dimension functions, MRA tight frame wavelets and connectivity properties. (English) Zbl 1018.42020 Adv. Comput. Math. 18, No. 2-4, 297-327 (2003). Reviewer: Richard A.Zalik (Auburn University) MSC: 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Hong Oh; Kim, Rae Young; Lim, Jae Kun Quasi-biorthogonal frame multiresolution analyses and wavelets. (English) Zbl 1019.42020 Adv. Comput. Math. 18, No. 2-4, 269-296 (2003). Reviewer: Ole Christensen (Lyngby) MSC: 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Christensen, Ole An introduction to frames and Riesz bases. (English) Zbl 1017.42022 Applied and Numerical Harmonic Analysis. Boston, MA: Birkhäuser. xx, 440 p. (2003). Reviewer: Richard A.Zalik (Auburn University) MSC: 42C40 42-02 42C15 46B15 46C05 × Cite Format Result Cite Review PDF
Han, Deguang Interpolation operators associated with sub-frame sets. (English) Zbl 1014.42025 Proc. Am. Math. Soc. 131, No. 1, 275-284 (2003). Reviewer: Wojciech Czaja (College Park) MSC: 42C40 47B38 × Cite Format Result Cite Review PDF Full Text: DOI
Lim, Jae Kun Gramian analysis of multivariate frame multiresolution analyses. (English) Zbl 1026.42031 Bull. Aust. Math. Soc. 66, No. 2, 291-300 (2002). Reviewer: Manfred Tasche (Rostock) MSC: 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Weber, Eric Frames and single wavelets for unitary groups. (English) Zbl 1005.42022 Can. J. Math. 54, No. 3, 634-647 (2002). Reviewer: Ole Christensen (Lyngby) MSC: 42C40 43A32 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Hong Oh; Kim, Rae Young; Lim, Jae Kun Semi-orthogonal frame wavelets and frame multi-resolution analyses. (English) Zbl 1003.42018 Bull. Aust. Math. Soc. 65, No. 1, 35-44 (2002). Reviewer: Ole Christensen (Lyngby) MSC: 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Papadakis, Manos Frames of translates in abstract Hilbert spaces and the generalized frame multiresolution analysis. (English) Zbl 1049.42027 Kopotun, Kirill (ed.) et al., Trends in approximation theory. Papers from the internatinal symposium in honor of the 60th birthday of Larry L. Schumaker, Nashville, TX, USA, May 17–20, 2000. Nashville, TX: Vanderbilt University Press (ISBN 0-8265-1379-4/hbk). Innovations in Applied Mathematics, 353-362 (2001). MSC: 42C40 42C15 × Cite Format Result Cite Review PDF
Benedetto, John J.; Treiber, Oliver M. Wavelet frames: Multiresolution analysis and extension principles. (English) Zbl 1036.42032 Debnath, Lokenath, Wavelet transforms and time-frequency signal analysis. Boston, MA: Birkhäuser (ISBN 0-8176-4104-1/hbk). Applied and Numerical Harmonic Analysis, 3-36 (2001). Reviewer: Ole Christensen (Lyngby) MSC: 42C40 65T60 × Cite Format Result Cite Review PDF
Paluszyński, Maciej; Šikić, Hrvoje; Weiss, Guido; Xiao, Shaoliang Generalized low pass filters and MRA frame wavelets. (English) Zbl 0985.42020 J. Geom. Anal. 11, No. 2, 311-342 (2001). Reviewer: Ole Christensen (Lyngby) MSC: 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Hong Oh; Lim, Jae Kun On frame wavelets associated with frame multiresolution analysis. (English) Zbl 1022.94001 Appl. Comput. Harmon. Anal. 10, No. 1, 61-70 (2001). MSC: 94A11 42C40 94A12 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Dengfeng; Cheng, Shixin Two results of FMRA. (English) Zbl 1077.42503 J. Nanjing Univ., Math. Biq. 17, No. 2, 180-187 (2000). MSC: 42C40 × Cite Format Result Cite Review PDF
Kim, Hong Oh; Lim, Jae Kun Frame multiresolution analysis. (English) Zbl 0966.42023 Commun. Korean Math. Soc. 15, No. 2, 285-308 (2000). Reviewer: Ole Christensen (Lyngby) MSC: 42C40 × Cite Format Result Cite Review PDF
Han, D.; Larson, D. R.; Papadakis, Manos; Stavropoulos, Th. Multiresolution analyses of abstract Hilbert spaces and wandering subspaces. (English) Zbl 0948.42023 Baggett, Lawrence Wasson (ed.) et al., The functional and harmonic analysis of wavelets and frames. Proceedings of the AMS special session, San Antonio, TX, USA, January 13-14, 1999. Providence, RI: American Mathematical Society. Contemp. Math. 247, 259-284 (1999). Reviewer: N.D.Sengupta (Bombay) MSC: 42C40 47N40 41A15 × Cite Format Result Cite Review PDF