Chui, Charles K. Super-resolution wavelets for recovery of arbitrarily close point-masses with arbitrarily small coefficients. (English) Zbl 1518.42049 Appl. Comput. Harmon. Anal. 61, 202-253 (2022); corrigendum ibid. 67, Article ID 101573, 2 p. (2023). Reviewer: Bin Han (Edmonton) MSC: 42C40 42A38 41A15 92D10 PDFBibTeX XMLCite \textit{C. K. Chui}, Appl. Comput. Harmon. Anal. 61, 202--253 (2022; Zbl 1518.42049) Full Text: DOI
Chui, Charles K.; Jiang, Qingtang; Li, Lin; Lu, Jian Signal separation based on adaptive continuous wavelet-like transform and analysis. (English) Zbl 1467.94009 Appl. Comput. Harmon. Anal. 53, 151-179 (2021). MSC: 94A12 42C40 PDFBibTeX XMLCite \textit{C. K. Chui} et al., Appl. Comput. Harmon. Anal. 53, 151--179 (2021; Zbl 1467.94009) Full Text: DOI arXiv
Chui, Charles K.; Jiang, Qingtang; Li, Lin; Lu, Jian Analysis of an adaptive short-time Fourier transform-based multicomponent signal separation method derived from linear chirp local approximation. (English) Zbl 1465.42008 J. Comput. Appl. Math. 396, Article ID 113607, 19 p. (2021). MSC: 42A38 42C40 42C15 94A12 PDFBibTeX XMLCite \textit{C. K. Chui} et al., J. Comput. Appl. Math. 396, Article ID 113607, 19 p. (2021; Zbl 1465.42008) Full Text: DOI arXiv
Chui, Charles K.; Han, Ningning Wavelet thresholding for recovery of active sub-signals of a composite signal from its discrete samples. (English) Zbl 1467.42054 Appl. Comput. Harmon. Anal. 52, 1-24 (2021). MSC: 42C40 94A12 65T60 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{N. Han}, Appl. Comput. Harmon. Anal. 52, 1--24 (2021; Zbl 1467.42054) Full Text: DOI
Chui, Charles K.; Mhaskar, H. N. A Fourier-invariant method for locating point-masses and computing their attributes. (English) Zbl 1395.42071 Appl. Comput. Harmon. Anal. 45, No. 2, 436-452 (2018). MSC: 42C15 94A08 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{H. N. Mhaskar}, Appl. Comput. Harmon. Anal. 45, No. 2, 436--452 (2018; Zbl 1395.42071) Full Text: DOI arXiv
Chui, Charles K.; de Villiers, Johan; Zhuang, Xiaosheng Multirate systems with shortest spline-wavelet filters. (English) Zbl 1342.42038 Appl. Comput. Harmon. Anal. 41, No. 1, 266-296 (2016). Reviewer: Bin Han (Edmonton) MSC: 42C40 41A15 94A12 93C55 93C95 93C30 PDFBibTeX XMLCite \textit{C. K. Chui} et al., Appl. Comput. Harmon. Anal. 41, No. 1, 266--296 (2016; Zbl 1342.42038) Full Text: DOI
Chui, Charles K.; Mhaskar, H. N. Signal decomposition and analysis via extraction of frequencies. (English) Zbl 1330.94013 Appl. Comput. Harmon. Anal. 40, No. 1, 97-136 (2016). MSC: 94A12 62M10 65P99 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{H. N. Mhaskar}, Appl. Comput. Harmon. Anal. 40, No. 1, 97--136 (2016; Zbl 1330.94013) Full Text: DOI
Chui, Charles K.; van der Walt, Maria D. Signal analysis via instantaneous frequency estimation of signal components. (English) Zbl 1322.94028 GEM. Int. J. Geomath. 6, No. 1, 1-42 (2015). MSC: 94A12 41A05 41A15 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{M. D. van der Walt}, GEM. Int. J. Geomath. 6, No. 1, 1--42 (2015; Zbl 1322.94028) Full Text: DOI
Chui, C. K.; Filbir, F.; Mhaskar, H. N. Representation of functions on big data: graphs and trees. (English) Zbl 1329.62033 Appl. Comput. Harmon. Anal. 38, No. 3, 489-509 (2015). MSC: 62-07 05C90 41A63 42C40 62H30 05C82 PDFBibTeX XMLCite \textit{C. K. Chui} et al., Appl. Comput. Harmon. Anal. 38, No. 3, 489--509 (2015; Zbl 1329.62033) Full Text: DOI
Chui, Charles K.; Jiang, Qingtang Applied mathematics. Data compression, spectral methods, Fourier analysis, wavelets, and applications. (English) Zbl 1279.65001 Mathematics Textbooks for Science and Engineering 2. Amsterdam: Atlantis Press (ISBN 978-94-6239-008-9/hbk; 978-94-6239-009-6/ebook). xxii, 551 p. (2013). Reviewer: Manfred Tasche (Rostock) MSC: 65-01 94-01 94A08 65T50 65T60 65F15 42C40 42A38 65T40 65D18 65N35 65M70 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{Q. Jiang}, Applied mathematics. Data compression, spectral methods, Fourier analysis, wavelets, and applications. Amsterdam: Atlantis Press (2013; Zbl 1279.65001) Full Text: DOI
Chui, Charles K.; Han, Bin; Zhuang, Xiaosheng A dual-chain approach for bottom-up construction of wavelet filters with any integer dilation. (English) Zbl 1245.42027 Appl. Comput. Harmon. Anal. 33, No. 2, 204-225 (2012). MSC: 42C40 PDFBibTeX XMLCite \textit{C. K. Chui} et al., Appl. Comput. Harmon. Anal. 33, No. 2, 204--225 (2012; Zbl 1245.42027) Full Text: DOI
Chui, Charles; De Villiers, Johan Wavelet subdivision methods. GEMS for rendering curves and surfaces. (English) Zbl 1202.42001 Boca Raton, FL: CRC Press (ISBN 978-1-4398-1215-0/hbk). xxiv, 455 p. (2011). Reviewer: Manfred Tasche (Rostock) MSC: 42-02 65-02 65D17 65T60 65D07 42C40 PDFBibTeX XMLCite \textit{C. Chui} and \textit{J. De Villiers}, Wavelet subdivision methods. GEMS for rendering curves and surfaces. Boca Raton, FL: CRC Press (2011; Zbl 1202.42001)
Charina, Maria; Chui, Charles K.; He, Wenjie Tight frames of compactly supported multivariate multi-wavelets. (English) Zbl 1190.65203 J. Comput. Appl. Math. 233, No. 8, 2044-2061 (2010). Reviewer: Kai Schneider (Marseille) MSC: 65T60 42C40 PDFBibTeX XMLCite \textit{M. Charina} et al., J. Comput. Appl. Math. 233, No. 8, 2044--2061 (2010; Zbl 1190.65203) Full Text: DOI
Chui, Charles K.; Mhaskar, H. N. MRA contextual-recovery extension of smooth functions on manifolds. (English) Zbl 1198.94025 Appl. Comput. Harmon. Anal. 28, No. 1, 104-113 (2010). MSC: 94A08 42C15 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{H. N. Mhaskar}, Appl. Comput. Harmon. Anal. 28, No. 1, 104--113 (2010; Zbl 1198.94025) Full Text: DOI
Chui, Charles K.; De Villiers, Johan An ideal spline-wavelet family for curve design and editing. (English) Zbl 1169.42016 Appl. Comput. Harmon. Anal. 27, No. 2, 235-246 (2009). MSC: 42C40 65D17 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{J. De Villiers}, Appl. Comput. Harmon. Anal. 27, No. 2, 235--246 (2009; Zbl 1169.42016) Full Text: DOI
Chui, Charles K.; Sun, Qiyu Characterizations of tight over-sampled affine frame systems and over-sampling rates. (English) Zbl 1320.42022 Appl. Comput. Harmon. Anal. 22, No. 1, 1-15 (2007). MSC: 42C15 94A20 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{Q. Sun}, Appl. Comput. Harmon. Anal. 22, No. 1, 1--15 (2007; Zbl 1320.42022) Full Text: DOI
Chui, Charles K.; Lian, Jian-ao Construction of orthonormal multi-wavelets with additional vanishing moments. (English) Zbl 1115.65133 Adv. Comput. Math. 24, No. 1-4, 239-262 (2006). Reviewer: Manfred Tasche (Rostock) MSC: 65T60 42C40 42C15 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{J.-a. Lian}, Adv. Comput. Math. 24, No. 1--4, 239--262 (2006; Zbl 1115.65133) 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 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{Q. Sun}, Appl. Comput. Harmon. Anal. 20, No. 1, 74--107 (2006; Zbl 1091.42021) Full Text: DOI
Chui, Charles K. (ed.); Neamtu, Marian (ed.); Schumaker, Larry L. (ed.) Approximation theory XI. Proceedings of the 11th international conference, Gatlinburg, TN, USA, May 18–22, 2004. (English) Zbl 1061.41001 Modern Methods in Mathematics. Brentwood, TN: Nashboro Press (ISBN 0-9728482-5-8/hbk). viii, 451 p. (2005). MSC: 41-06 42-06 65-06 00B25 PDFBibTeX XMLCite \textit{C. K. Chui} (ed.) et al., Approximation theory XI. Proceedings of the 11th international conference, Gatlinburg, TN, USA, May 18--22, 2004. Brentwood, TN: Nashboro Press (2005; Zbl 1061.41001)
Chui, Charles K.; Jiang, Qingtang Balanced multi-wavelets in \(\mathbb R^s\). (English) Zbl 1061.42023 Math. Comput. 74, No. 251, 1323-1344 (2005). MSC: 42C40 65T60 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{Q. Jiang}, Math. Comput. 74, No. 251, 1323--1344 (2005; Zbl 1061.42023) Full Text: DOI
Chui, Charles K.; He, Wenjie; Stöckler, Joachim Nonstationary tight wavelet frames. II: Unbounded intervals. (English) Zbl 1067.42022 Appl. Comput. Harmon. Anal. 18, No. 1, 25-66 (2005). MSC: 42C40 42C15 PDFBibTeX XMLCite \textit{C. K. Chui} et al., Appl. Comput. Harmon. Anal. 18, No. 1, 25--66 (2005; Zbl 1067.42022) Full Text: DOI
Bittner, Kai; Chui, Charles K. Formulation of localized cosine bases that preserve polynomial modulated sinusoids. (English) Zbl 1098.42023 J. Fourier Anal. Appl. 10, No. 5, 475-496 (2004). MSC: 42C15 42A10 42C40 PDFBibTeX XMLCite \textit{K. Bittner} and \textit{C. K. Chui}, J. Fourier Anal. Appl. 10, No. 5, 475--496 (2004; Zbl 1098.42023) Full Text: DOI
Chui, Charles K.; He, Wenjie; Stöckler, Joachim Nonstationary tight wavelet frames. I: Bounded intervals. (English) Zbl 1067.42021 Appl. Comput. Harmon. Anal. 17, No. 2, 141-197 (2004). MSC: 42C40 42C15 PDFBibTeX XMLCite \textit{C. K. Chui} et al., Appl. Comput. Harmon. Anal. 17, No. 2, 141--197 (2004; Zbl 1067.42021) Full Text: DOI
Chui, Charles; Stöckler, Joachim Recent development of spline wavelet frames with compact support. (English) Zbl 1083.42027 Welland, Grant V. (ed.), Beyond wavelets. San Diego, CA: Academic Press/Elsevier Science (ISBN 0-12-743273-6/hbk). Studies in Computational Mathematics 10, 151-514 (2003). MSC: 42C40 PDFBibTeX XMLCite \textit{C. Chui} and \textit{J. Stöckler}, Stud. Comput. Math. 10, 151--514 (2003; Zbl 1083.42027)
Bittner, Kai; Chui, Charles K. Spline modulation of sinusoids for signal representation. (English) Zbl 1057.41004 J. Fourier Anal. Appl. 9, No. 6, 597-622 (2003). Reviewer: Manfred Tasche (Rostock) MSC: 41A15 42C40 42C15 94A12 PDFBibTeX XMLCite \textit{K. Bittner} and \textit{C. K. Chui}, J. Fourier Anal. Appl. 9, No. 6, 597--622 (2003; Zbl 1057.41004) Full Text: DOI
Chui, Charles K.; Wang, Jianzhong Shannon wavelet approach to sub-band coding. (English) Zbl 1055.94002 Int. J. Wavelets Multiresolut. Inf. Process. 1, No. 2, 233-242 (2003). Reviewer: Youming Liu (Beijing) MSC: 94A12 42C40 94A20 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{J. Wang}, Int. J. Wavelets Multiresolut. Inf. Process. 1, No. 2, 233--242 (2003; Zbl 1055.94002) Full Text: DOI
Chui, Charles K.; Jiang, Qingtang Multivariate balanced vector-valued refinable functions. (English) Zbl 1034.42035 Haussmann, Werner (ed.) et al., Modern developments in multivariate approximation. Proceedings of the 5th international conference, Witten-Bommerholz, Germany, September 22–27, 2002. Basel: Birkhäuser (ISBN 3-7643-2195-4/hbk). ISNM, Int. Ser. Numer. Math. 145, 71-102 (2003). MSC: 42C40 94A12 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{Q. Jiang}, ISNM, Int. Ser. Numer. Math. 145, 71--102 (2003; Zbl 1034.42035)
Chui, Charles K.; He, Wenjie; Stöckler, Joachim; Sun, Qiyu Compactly supported tight affine frames with integer dilations and maximum vanishing moments. (English) Zbl 1059.42022 Adv. Comput. Math. 18, No. 2-4, 159-187 (2003). Reviewer: Wojciech Czaja (Wien) MSC: 42C15 42C40 41A15 65T60 PDFBibTeX XMLCite \textit{C. K. Chui} et al., Adv. Comput. Math. 18, No. 2--4, 159--187 (2003; Zbl 1059.42022) Full Text: DOI
Chui, Charles K.; Sun, Qiyu Tight frame oversampling and its equivalence to shift-invariance of affine frame operators. (English) Zbl 1013.42024 Proc. Am. Math. Soc. 131, No. 5, 1527-1538 (2003). Reviewer: Ole Christensen (Lyngby) MSC: 42C40 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{Q. Sun}, Proc. Am. Math. Soc. 131, No. 5, 1527--1538 (2003; Zbl 1013.42024) Full Text: DOI
Chui, Charles K.; Lian, Jian-Ao Multilevel structure of NURBS and formulation of NURBlets. (English) Zbl 1054.42023 Zhou, Ding-Xuan (ed.), Wavelet analysis. Twenty years’ developments. Proceedings of the international conference of computational harmonic analysis, Hong Kong, China, June 4–8, 2001. Singapore: World Scientific (ISBN 981-238-142-2/hbk). Ser. Anal. 1, 23-38 (2002). MSC: 42C40 42C15 41A15 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{J.-A. Lian}, Ser. Anal. 1, 23--38 (2002; Zbl 1054.42023)
Chui, Charles K.; Lian, Jian-ao Nonstationary wavelets and refinement sequences of nonuniform B-splines. (English) Zbl 1024.42020 Chui, Charles K. (ed.) et al., Approximation theory X. Wavelets, splines, and applications. Papers from the 10th international symposium, St. Louis, Mo, USA, March 26-29, 2001. Nashville, TN: Vanderbilt University Press. Innovations in Applied Mathematics. 207-229 (2002). MSC: 42C40 41A15 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{J.-a. Lian}, in: Approximation theory X. Wavelets, splines, and applications. Papers from the 10th international symposium, St. Louis, Mo, USA, March 26--29, 2001. Nashville, TN: Vanderbilt University Press. 207--229 (2002; Zbl 1024.42020)
Chui, Charles K.; He, Wenjie; Stöckler, Joachim Tight frames with maximum vanishing moments and minimum support. (English) Zbl 1039.42031 Chui, Charles K. (ed.) et al., Approximation theory X. Wavelets, splines, and applications. Papers from the 10th international symposium, St. Louis, Mo, USA, March 26–29, 2001. Nashville, TN: Vanderbilt University Press (ISBN 0-8265-1416-2/hbk). Innovations in Applied Mathematics, 187-206 (2002). MSC: 42C40 PDFBibTeX XMLCite \textit{C. K. Chui} et al., in: Approximation theory X. Wavelets, splines, and applications. Papers from the 10th international symposium, St. Louis, Mo, USA, March 26--29, 2001. Nashville, TN: Vanderbilt University Press. 187--206 (2002; Zbl 1039.42031)
Bittner, Kai; Chui, Charles K. Gabor frames with arbitrary windows. (English) Zbl 1029.42027 Chui, Charles K. (ed.) et al., Approximation theory X. Wavelets, splines, and applications. Papers from the 10th international symposium, St. Louis, Mo, USA, March 26-29, 2001. Nashville, TN: Vanderbilt University Press. Innovations in Applied Mathematics. 41-50 (2002). Reviewer: Ole Christensen (Lyngby) MSC: 42C40 42C15 PDFBibTeX XMLCite \textit{K. Bittner} and \textit{C. K. Chui}, in: Approximation theory X. Wavelets, splines, and applications. Papers from the 10th international symposium, St. Louis, Mo, USA, March 26--29, 2001. Nashville, TN: Vanderbilt University Press. 41--50 (2002; Zbl 1029.42027)
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 PDFBibTeX XMLCite \textit{C. K. Chui} et al., Appl. Comput. Harmon. Anal. 13, No. 3, 224--262 (2002; Zbl 1016.42023) Full Text: DOI
Chui, Charles K. (ed.); Schumaker, Larry L. (ed.); Stöckler, Joachim (ed.) Approximation theory X. Wavelets, splines, and applications. Papers from the 10th international symposium, St. Louis, Mo, USA, March 26–29, 2001. (English) Zbl 1012.00039 Innovations in Applied Mathematics. Nashville, TN: Vanderbilt University Press. xvi, 483 p. (2002). MSC: 00B25 41-06 42-06 65-06 PDFBibTeX XMLCite \textit{C. K. Chui} (ed.) et al., Approximation theory X. Wavelets, splines, and applications. Papers from the 10th international symposium, St. Louis, Mo, USA, March 26--29, 2001. Nashville, TN: Vanderbilt University Press (2002; Zbl 1012.00039)
Chui, Charles K. (ed.); Schumaker, Larry L. (ed.); Stöckler, Joachim (ed.) Approximation theory X. Abstract and classical analysis. Papers from the 10th international symposium, St. Louis, MO, USA, March 26–29, 2001. (English) Zbl 1028.00020 Innovations in Applied Mathematics. Nashville, TN: Vanderbilt University Press. xiv, 402 p. (2002). MSC: 00B25 41-06 42-06 65-06 PDFBibTeX XMLCite \textit{C. K. Chui} (ed.) et al., Approximation theory X. Abstract and classical analysis. Papers from the 10th international symposium, St. Louis, MO, USA, March 26--29, 2001. Nashville, TN: Vanderbilt University Press (2002; Zbl 1028.00020)
Chui, Charles K.; Czaja, Wojciech; Maggioni, Mauro; Weiss, Guido Characterization of general tight wavelet frames with matrix dilations and tightness preserving oversampling. (English) Zbl 1005.42020 J. Fourier Anal. Appl. 8, No. 2, 173-200 (2002). Reviewer: Ole Christensen (Lyngby) MSC: 42C40 PDFBibTeX XMLCite \textit{C. K. Chui} et al., J. Fourier Anal. Appl. 8, No. 2, 173--200 (2002; Zbl 1005.42020) Full Text: DOI
Chui, Charles K.; He, Wenjie Construction of multivariate tight frames via Kronecker products. (English) Zbl 1029.42028 Appl. Comput. Harmon. Anal. 11, No. 2, 305-312 (2001). Reviewer: Radu Balan (Princeton) MSC: 42C40 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{W. He}, Appl. Comput. Harmon. Anal. 11, No. 2, 305--312 (2001; Zbl 1029.42028) Full Text: DOI Link
Chui, Charles K.; Shi, Xianliang Orthonormal wavelets and tight frames with arbitrary real dilations. (English) Zbl 0967.42023 Appl. Comput. Harmon. Anal. 9, No. 3, 243-264 (2000). MSC: 42C40 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{X. Shi}, Appl. Comput. Harmon. Anal. 9, No. 3, 243--264 (2000; Zbl 0967.42023) Full Text: DOI
Chui, Charles K.; He, Wenjie Compactly supported tight frames associated with refinable functions. (English) Zbl 0948.42022 Appl. Comput. Harmon. Anal. 8, No. 3, 293-319 (2000). MSC: 42C40 41A15 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{W. He}, Appl. Comput. Harmon. Anal. 8, No. 3, 293--319 (2000; Zbl 0948.42022) Full Text: DOI Link
Chui, Charles K.; Shi, Xianliang Wavelets of Wilson type with arbitrary shapes. (English) Zbl 0947.42022 Appl. Comput. Harmon. Anal. 8, No. 1, 1-23 (2000). Reviewer: Ole Christensen (Lyngby) MSC: 42C40 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{X. Shi}, Appl. Comput. Harmon. Anal. 8, No. 1, 1--23 (2000; Zbl 0947.42022)
Chui, C. K.; Shi, Xianliang Bounded linear operators that commute with shifts are scaled identity. (English) Zbl 0957.47025 Approximation Theory Appl. 15, No. 3, 1-12 (1999). Reviewer: Roland Duduchava (Tbilisi) MSC: 47B38 47B15 46E30 42C40 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{X. Shi}, Approximation Theory Appl. 15, No. 3, 1--12 (1999; Zbl 0957.47025)
Bittner, Kai; Chui, Charles K. From local cosine bases to global harmonics. (English) Zbl 0932.42029 Appl. Comput. Harmon. Anal. 6, No. 3, 382-399 (1999). MSC: 42C40 PDFBibTeX XMLCite \textit{K. Bittner} and \textit{C. K. Chui}, Appl. Comput. Harmon. Anal. 6, No. 3, 382--399 (1999; Zbl 0932.42029) Full Text: DOI Link
Chui, Charles K.; Chan, Andrew K.; Liu, Steve J. Wavelet toolware. (English) Zbl 0959.65147 Orlando, FL: Academic Press. x (1998). MSC: 65T60 65-02 42C40 65Y15 PDFBibTeX XMLCite \textit{C. K. Chui} et al., Wavelet toolware. Orlando, FL: Academic Press (1998; Zbl 0959.65147)
Chui, Charles K.; Chan, Andrew K.; Liu, Steve J. Wavelets in a box. (English) Zbl 0959.65146 Orlando, FL: Academic Press. x (1998). MSC: 65T60 65-02 42C40 65Y15 PDFBibTeX XMLCite \textit{C. K. Chui} et al., Wavelets in a box. Orlando, FL: Academic Press (1998; Zbl 0959.65146)
Chui, Charles K.; Shi, Xianliang; Stöckler, Joachim Affine frames, quasi-affine frames, and their duals. (English) Zbl 0892.42019 Adv. Comput. Math. 8, No. 1-2, 1-17 (1998). MSC: 42C15 47N40 PDFBibTeX XMLCite \textit{C. K. Chui} et al., Adv. Comput. Math. 8, No. 1--2, 1--17 (1998; Zbl 0892.42019) Full Text: DOI
Chui, Charles K.; Shi, Xianliang Inequalities on matrix-dilated Littlewood-Paley energy functions and oversampled affine operators. (English) Zbl 0869.42011 SIAM J. Math. Anal. 28, No. 1, 213-232 (1997). MSC: 42C15 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{X. Shi}, SIAM J. Math. Anal. 28, No. 1, 213--232 (1997; Zbl 0869.42011) Full Text: DOI
Chui, Charles K.; Shi, Xianliang A study of biorthogonal sinusoidal wavelets. (English) Zbl 0936.42019 Le Méhauté, Alain (ed.) et al., Surface fitting and multiresolution methods. Vol. 2 of the proceedings of the 3rd international conference on Curves and surfaces, held in Chamonix-Mont-Blanc, France, June 27-July 3, 1996. Nashville, TN: Vanderbilt University Press. 51-66 (1997). MSC: 42C40 46B15 41A15 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{X. Shi}, in: Surface fitting and multiresolution methods. Vol. 2 of the proceedings of the 3rd international conference on Curves and surfaces, held in Chamonix-Mont-Blanc, France, June 27--July 3, 1996. Nashville, TN: Vanderbilt University Press. 51--66 (1997; Zbl 0936.42019)
Bittner, Kai; Chui, Charles K.; Prestin, Jürgen Multivariate cosine wavelets. (English) Zbl 0891.42023 Nürnberger, Günther (ed.) et al., Multivariate approximation and splines. Papers of the international conference, Mannheim, Germany, September 7–10, 1996. Basel: Birkhäuser Verlag. ISNM, Int. Ser. Numer. Math. 125, 29-43 (1997). Reviewer: B.Rubin (Jerusalem) MSC: 42C40 PDFBibTeX XMLCite \textit{K. Bittner} et al., ISNM, Int. Ser. Numer. Math. 125, 29--43 (1997; Zbl 0891.42023)
Chui, Charles K.; Shi, Xianliang Characterization of biorthogonal cosine wavelets. (English) Zbl 0913.42026 J. Fourier Anal. Appl. 3, No. 5, 559-575 (1997). Reviewer: Richard A.Zalik (Auburn University) MSC: 42C40 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{X. Shi}, J. Fourier Anal. Appl. 3, No. 5, 559--575 (1997; Zbl 0913.42026) Full Text: DOI EuDML
Chui, C. K.; Wang, J. Z. A study of asymptotically optimal time-frequency localization by scaling functions and wavelets. (English) Zbl 0883.42030 Ann. Numer. Math. 4, No. 1-4, 193-216 (1997). MSC: 42C40 94A12 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{J. Z. Wang}, Ann. Numer. Math. 4, No. 1--4, 193--216 (1997; Zbl 0883.42030)
Chui, Charles K. Wavelets: a mathematical tool for signal analysis. (English) Zbl 0903.94007 SIAM Monographs on Mathematical Modeling and Computation 1. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics (ISBN 0-89871-384-6; 978-0-89871-972-7/ebook). xviii, 210 p. (1997). Reviewer: J.S.Joel (Kelly) MSC: 94A12 94-01 42C40 65T99 42-01 65R20 PDFBibTeX XMLCite \textit{C. K. Chui}, Wavelets: a mathematical tool for signal analysis. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics (1997; Zbl 0903.94007) Full Text: DOI
Chui, Charles K.; Shi, Xianliang On stability bounds of perturbed multivariate trigonometric systems. (English) Zbl 0876.42019 Appl. Comput. Harmon. Anal. 3, No. 3, 283-287 (1996). MSC: 42C15 46B15 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{X. Shi}, Appl. Comput. Harmon. Anal. 3, No. 3, 283--287 (1996; Zbl 0876.42019) Full Text: DOI
Chui, C. K.; Ward, J. D.; Jetter, K.; Stöckler, J. Wavelets for analyzing scattered data: An unbounded operator approach. (English) Zbl 0855.42023 Appl. Comput. Harmon. Anal. 3, No. 3, 254-267 (1996). MSC: 42C40 PDFBibTeX XMLCite \textit{C. K. Chui} et al., Appl. Comput. Harmon. Anal. 3, No. 3, 254--267 (1996; Zbl 0855.42023) Full Text: DOI
Chui, Charles K.; Lian, Jian-ao A study of orthonormal multi-wavelets. (English) Zbl 0877.65098 Appl. Numer. Math. 20, No. 3, 273-298 (1996). Reviewer: K.Trimeche (Tunis) MSC: 65T60 42C40 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{J.-a. Lian}, Appl. Numer. Math. 20, No. 3, 273--298 (1996; Zbl 0877.65098) Full Text: DOI
Chui, C. K.; Stöckler, J.; Ward, J. D. Analytic wavelets generated by radial functions. (English) Zbl 0855.65145 Adv. Comput. Math. 5, No. 1, 95-123 (1996). Reviewer: G.Plonka (Rostock) MSC: 65T60 42C40 PDFBibTeX XMLCite \textit{C. K. Chui} et al., Adv. Comput. Math. 5, No. 1, 95--123 (1996; Zbl 0855.65145) Full Text: DOI
Chui, Charles K.; Shi, Xianliang On the convergence of localized cosine series. (English) Zbl 0978.42017 Ann. Numer. Math. 3, No. 1-4, 51-61 (1996). MSC: 42C15 42C40 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{X. Shi}, Ann. Numer. Math. 3, No. 1--4, 51--61 (1996; Zbl 0978.42017)
Chui, Charles K.; Li, Chun Dyadic affine decompositions and functional wavelet transforms. (English) Zbl 0849.42022 SIAM J. Math. Anal. 27, No. 3, 865-890 (1996). MSC: 42C40 41A58 42C30 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{C. Li}, SIAM J. Math. Anal. 27, No. 3, 865--890 (1996; Zbl 0849.42022) Full Text: DOI
Chui, Charles K.; Wang, Jianzhong High-order orthonormal scaling functions and wavelets give poor time-frequency localization. (English) Zbl 1055.42507 J. Fourier Anal. Appl. 2, No. 5, 415-426 (1996). MSC: 42C40 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{J. Wang}, J. Fourier Anal. Appl. 2, No. 5, 415--426 (1996; Zbl 1055.42507) Full Text: DOI EuDML
Chui, C. K. (ed.); Schumaker, L. L. (ed.) Approximation theory VIII. Vol. 1. Approximation and interpolation. Proceedings of the 8th Texas international conference, College Station, TX, USA, January 8–12, 1995. (English) Zbl 0928.00035 Series in Approximations and Decompositions. 6. Singapore: World Scientific. xxxii, 570 p. (1995). MSC: 00B25 41-06 42-06 PDFBibTeX XMLCite \textit{C. K. Chui} (ed.) and \textit{L. L. Schumaker} (ed.), Approximation theory VIII. Vol. 1. Approximation and interpolation. Proceedings of the 8th Texas international conference, College Station, TX, USA, January 8--12, 1995. Singapore: World Scientific (1995; Zbl 0928.00035)
Chui, Charles K.; Lian, Jian-Ao Construction of compactly supported symmetric and antisymmetric orthonormal wavelets with scale \(=3\). (English) Zbl 0814.42016 Appl. Comput. Harmon. Anal. 2, No. 1, 21-51 (1995). MSC: 42C40 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{J.-A. Lian}, Appl. Comput. Harmon. Anal. 2, No. 1, 21--51 (1995; Zbl 0814.42016) Full Text: DOI
Chui, Charles K.; Li, Chun Multivariate interpolating wavelets. (English) Zbl 0927.42013 Chui, C. K. (ed.) et al., Approximation theory VIII. Vol. 2. Wavelets and multilevel approximation. Papers from the 8th Texas international conference, College Station, TX, USA, January 8–12, 1995. Singapore: World Scientific. Ser. Approx. Decompos. 6, 9-16 (1995). MSC: 42C40 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{C. Li}, Ser. Approx. Decompos. 6, 9--16 (1995; Zbl 0927.42013)
Chui, C. K. (ed.); Schumaker, L. L. (ed.) Approximation theory VIII. Vol. 2. Wavelets and multilevel approximation. Papers from the 8th Texas international conference, College Station, TX, USA, January 8–12, 1995. (English) Zbl 0902.00035 Series in Approximations and Decompositions. 6. Singapore: World Scientific. xxix, 422 p. (1995). MSC: 00B25 41-06 42-06 65-06 42C40 PDFBibTeX XMLCite \textit{C. K. Chui} (ed.) and \textit{L. L. Schumaker} (ed.), Approximation theory VIII. Vol. 2. Wavelets and multilevel approximation. Papers from the 8th Texas international conference, College Station, TX, USA, January 8--12, 1995. Singapore: World Scientific (1995; Zbl 0902.00035)
Chui, Charles K.; Jetter, Kurt; Stöckler, Joachim Wavelets and frames on the four-directional mesh. (English) Zbl 0877.42015 Chui, Charles K. (ed.) et al., Wavelets: theory, algorithms, and applications. Proceedings of the international conference on wavelets, held in Taormina, Italy, October 14-20, 1993. San Diego, CA: Academic Press. Wavelet Anal. Appl. 5, 213-230 (1994). MSC: 42C40 41A15 PDFBibTeX XMLCite \textit{C. K. Chui} et al., Wavelet Anal. Appl. 5, 213--230 (1994; Zbl 0877.42015)
Chui, Charles K.; Shi, Xianliang Affine operators and frames of multivariate wavelets. (English) Zbl 0844.42014 Dikshit, H. P. (ed.) et al., Proceedings of the conference on advances in computational mathematics, held at New Delhi, India, January 5-9, 1993. Singapore: World Scientific. Ser. Approx. Decompos. 4, 139-155 (1994). MSC: 42C40 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{X. Shi}, Ser. Approx. Decompos. 4, 139--155 (1994; Zbl 0844.42014)
Chui, Charles K.; Shi, Xianliang Continuous two-scale equations and dyadic wavelets. (English) Zbl 0877.42014 Adv. Comput. Math. 2, No. 2, 185-213 (1994). MSC: 42C40 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{X. Shi}, Adv. Comput. Math. 2, No. 2, 185--213 (1994; Zbl 0877.42014) Full Text: DOI
Chui, Charles K.; Wang, Jianzhong A study of compactly supported scaling functions and wavelets. (English) Zbl 0816.42019 Laurent, Pierre-Jean (ed.) et al., Wavelets, images, and surface fitting. Papers from the 2nd international conference on curves and surfaces, held in Chamonix-Mont-Blanc, France, June 10-16, 1993. Wellesley, MA: A K Peters. 121-140 (1994). MSC: 42C40 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{J. Wang}, in: Wavelets, images, and surface fitting. Papers from the 2nd international conference on curves and surfaces, held in Chamonix-Mont-Blanc, France, June 10-16, 1993. Wellesley, MA: A K Peters. 121--140 (1994; Zbl 0816.42019)
Chui, Charles K. (ed.); Montefusco, Laura (ed.); Puccio, Luigia (ed.) Wavelets: theory, algorithms, and applications. Proceedings of the international conference on wavelets, held in Taormina, Italy, October 14-20, 1993. (English) Zbl 0816.00025 Wavelet Analysis and Its Applications. 5. San Diego, CA: Academic Press. xvi, 627 p. (1994). MSC: 00B25 42C40 42-06 65-06 PDFBibTeX XMLCite \textit{C. K. Chui} (ed.) et al., Wavelets: theory, algorithms, and applications. Proceedings of the international conference on wavelets, held in Taormina, Italy, October 14-20, 1993. San Diego, CA: Academic Press (1994; Zbl 0816.00025)
Chui, C. K.; Li, Xin; Mhaskar, H. N. Neural networks for localized approximation. (English) Zbl 0806.41020 Math. Comput. 63, No. 208, 607-623 (1994). MSC: 41A63 41A30 94C99 42C15 PDFBibTeX XMLCite \textit{C. K. Chui} et al., Math. Comput. 63, No. 208, 607--623 (1994; Zbl 0806.41020) Full Text: DOI
Chui, Charles K.; Li, Chun A general framework of multivariate wavelets with duals. (English) Zbl 0810.42019 Appl. Comput. Harmon. Anal. 1, No. 4, 368-390 (1994). MSC: 42C40 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{C. Li}, Appl. Comput. Harmon. Anal. 1, No. 4, 368--390 (1994; Zbl 0810.42019) Full Text: DOI
Chui, Charles K.; Shi, Xianliang \(n\times\) oversampling preserves any tight affine frame for odd \(n\). (English) Zbl 0802.41015 Proc. Am. Math. Soc. 121, No. 2, 511-517 (1994). MSC: 41A17 41A58 42C99 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{X. Shi}, Proc. Am. Math. Soc. 121, No. 2, 511--517 (1994; Zbl 0802.41015) Full Text: DOI
Chui, Charles K.; Li, Xin Generalized wavelet decompositions of bivariate functions. (English) Zbl 0820.42013 Proc. Am. Math. Soc. 121, No. 1, 125-131 (1994). Reviewer: M.Berkolajko (Voronezh) MSC: 42C40 44A15 46B15 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{X. Li}, Proc. Am. Math. Soc. 121, No. 1, 125--131 (1994; Zbl 0820.42013) Full Text: DOI
Chui, Charles K.; Shi, Xianliang On multi-frequency wavelet decompositions. (English) Zbl 0784.42021 Schumaker, Larry L. (ed.) et al., Recent advances in wavelet analysis. Boston, MA: Academic Press, Inc.. Wavelet Anal. Appl. 3, 155-189 (1994). MSC: 42C40 94A12 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{X. Shi}, Wavelet Anal. Appl. 3, 155--189 (1994; Zbl 0784.42021)
Chui, Charles K.; Shi, Xianliang On \(L^ p\)-boundedness of affine frame operators. (English) Zbl 0789.42027 Indag. Math., New Ser. 4, No. 4, 431-438 (1993). MSC: 42C15 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{X. Shi}, Indag. Math., New Ser. 4, No. 4, 431--438 (1993; Zbl 0789.42027) Full Text: DOI
Chui, Charles K.; Shi, Xianliang Bessel sequences and affine frames. (English) Zbl 0788.42011 Appl. Comput. Harmon. Anal. 1, No. 1, 29-49 (1993). MSC: 42C15 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{X. Shi}, Appl. Comput. Harmon. Anal. 1, No. 1, 29--49 (1993; Zbl 0788.42011) Full Text: DOI
Chui, Charles K.; Shi, Xianliang Characterizations of fundamental scaling functions and wavelets. (English) Zbl 0787.42019 Approximation Theory Appl. 9, No. 3, 37-52 (1993). Reviewer: J.S.Joel (Kelly) MSC: 42C40 46B15 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{X. Shi}, Approximation Theory Appl. 9, No. 3, 37--52 (1993; Zbl 0787.42019)
Chui, Charles K. On wavelet analysis. (English) Zbl 0792.42017 Gonchar, A. A. (ed.) et al., Methods of approximation theory in complex analysis and mathematical physics. Selected papers of international seminars on “Methods of approximation theory in complex analysis and mathematical physics” held in Leningrad, Russia, May 13-26, 1991. Berlin: Springer-Verlag. Lect. Notes Math. 1550, 31-42 (1993). MSC: 42C40 PDFBibTeX XMLCite \textit{C. K. Chui}, Lect. Notes Math. 1550, 31--42 (1993; Zbl 0792.42017)
Chui, Charles K.; Shi, Xianliang On a Littlewood-Paley identity and characterization of wavelets. (English) Zbl 0782.42025 J. Math. Anal. Appl. 177, No. 2, 608-626 (1993). MSC: 42C40 46A35 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{X. Shi}, J. Math. Anal. Appl. 177, No. 2, 608--626 (1993; Zbl 0782.42025) Full Text: DOI
Chui, Charles K.; Li, Chun Nonorthogonal wavelet packets. (English) Zbl 0770.41022 SIAM J. Math. Anal. 24, No. 3, 712-738 (1993). MSC: 41A58 42C30 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{C. Li}, SIAM J. Math. Anal. 24, No. 3, 712--738 (1993; Zbl 0770.41022) Full Text: DOI
Chui, C. K.; Mhaskar, H. N. On trigonometric wavelets. (English) Zbl 0780.42020 Constructive Approximation 9, No. 2-3, 167-190 (1993). Reviewer: B.Rubin (Jerusalem) MSC: 42C40 42A16 42A15 41A05 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{H. N. Mhaskar}, Constr. Approx. 9, No. 2--3, 167--190 (1993; Zbl 0780.42020) Full Text: DOI
Chui, Charles K.; Shi, Xianliang Inequalities of Littlewood-Paley type for frames and wavelets. (English) Zbl 0766.41013 SIAM J. Math. Anal. 24, No. 1, 263-277 (1993). MSC: 42C15 41A58 42C40 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{X. Shi}, SIAM J. Math. Anal. 24, No. 1, 263--277 (1993; Zbl 0766.41013) Full Text: DOI
Chui, Charles K.; Quak, Ewald Wavelets on a bounded interval. (English) Zbl 0815.42016 Braess, D. (ed.) et al., Numerical methods in approximation theory. Vol. 9: Proceedings of the conference held in Oberwolfach, Germany, November 24-30, 1991. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 105, 53-75 (1992). MSC: 42C40 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{E. Quak}, ISNM, Int. Ser. Numer. Math. 105, 53--75 (1992; Zbl 0815.42016)
Chui, Charles K. Wavelets and signal analysis. (English) Zbl 0806.42018 Atti Accad. Peloritana Pericolanti, Cl. Sci. Fis. Mat. Nat. 70, No. 1, 95-146 (1992). MSC: 42C40 94A12 PDFBibTeX XMLCite \textit{C. K. Chui}, Atti Accad. Peloritana Pericolanti, Cl. Sci. Fis. Mat. Nat. 70, No. 1, 95--146 (1992; Zbl 0806.42018)
Chui, Charles K.; Wang, Jianzhong On compactly supported spline wavelets and a duality principle. (English) Zbl 0759.41008 Trans. Am. Math. Soc. 330, No. 2, 903-915 (1992). Reviewer: J.Prestin (Rostock) MSC: 41A15 42C05 41A05 41A30 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{J. Wang}, Trans. Am. Math. Soc. 330, No. 2, 903--915 (1992; Zbl 0759.41008) Full Text: DOI
Chui, Charles K. On cardinal spline-wavelets. (English) Zbl 0798.42016 Ruskai, Mary Beth (ed.) et al., Wavelets and their applications. Boston, MA etc.: Jones and Bartlett Publishers. 419-438 (1992). Reviewer: B.Rubin (Jerusalem) MSC: 42C40 PDFBibTeX XMLCite \textit{C. K. Chui}, in: Wavelets and their applications. Boston, MA etc.: Jones and Bartlett Publishers. 419--438 (1992; Zbl 0798.42016)
Chui, Charles K. (ed.) Wavelets: a tutorial in theory and applications. (English) Zbl 0744.00020 Wavelet Analysis and Its Applications. 2. Boston, MA etc.: Academic Press. x, 723 p. (1992). MSC: 00B15 42-06 42C40 65T60 41-06 44-06 94-06 65-06 PDFBibTeX XMLCite \textit{C. K. Chui} (ed.), Wavelets: a tutorial in theory and applications. Boston, MA etc.: Academic Press (1992; Zbl 0744.00020)
Chui, Charles K. An introduction to wavelets. (English) Zbl 0925.42016 Wavelet Analysis and Its Applications. 1. Boston, MA: Academic Press. x, 264 p. (1992). MSC: 42C40 42-01 PDFBibTeX XMLCite \textit{C. K. Chui}, An introduction to wavelets. Boston, MA: Academic Press (1992; Zbl 0925.42016)
Chui, Charles K.; Wang, Jian-Zhong A cardinal spline approach to wavelets. (English) Zbl 0755.41008 Proc. Am. Math. Soc. 113, No. 3, 785-793 (1991). MSC: 41A15 42C05 41A05 41A30 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{J.-Z. Wang}, Proc. Am. Math. Soc. 113, No. 3, 785--793 (1991; Zbl 0755.41008) Full Text: DOI
Chui, C. K.; Stöckler, J.; Ward, J. D. Polynomial expansions for cardinal interpolants and orthogonal wavelets. (English) Zbl 0736.41006 Curves and surfaces, Pap. Int. Conf., Chamonix-Mont-Blanc/Fr. 1990, 83-90 (1991). MSC: 41A10 41A05 42C05 PDFBibTeX XMLCite \textit{C. K. Chui} et al., in: Pseudo-cubic weighed splines can be \( C^ 2\) or \(G^ 2\). . 83--90 (1991; Zbl 0736.41006)
Chui, Charles K. An overview of wavelets. (English) Zbl 0736.42020 Approximation theory and functional analysis. In honor of George G. Lorentz on the occasion of his 80th birthday, Sev. Pap. Conf., Austin/TX (USA) 1990, 47-71 (1991). Reviewer: H.Tanabe (Toyonaka) MSC: 42C40 42C10 44A05 PDFBibTeX XMLCite \textit{C. K. Chui}, in: Approximation theory and functional analysis. In honor of George G. Lorentz on the occasion of his 80th birthday, Sev. Pap. Conf., Austin/TX (USA) 1990, . 47--71 (1991; Zbl 0736.42020)
Chui, C. K. (ed.); Schempp, W. (ed.); Zeller, K. (ed.) Multivariate approximation theory IV. Proceedings of the conference at the Mathematical Reseach Institute at Oberwolfach, Black Forest, FRG, February 12-18, 1989. (English) Zbl 0681.00012 ISNM, International Series of Numerical Mathematics, 90. Basel etc.: Birkhäuser Verlag. ix, 342 p. sFr. 98.00; DM 118.00 (1989). MSC: 00B25 41-06 42-06 PDFBibTeX XML
Chui, C. K.; Shen, Xiechang On completeness of the system \(\{(1-{\bar\alpha}_ jz)^{-\alpha -1}\}\) in \(A^ P(\Phi)\). (English) Zbl 0672.42019 Approximation Theory Appl. 4, No. 2, 1-8 (1988). Reviewer: J.Musielak MSC: 42C30 41A65 46E15 PDFBibTeX XMLCite \textit{C. K. Chui} and \textit{X. Shen}, Approximation Theory Appl. 4, No. 2, 1--8 (1988; Zbl 0672.42019)