Farkov, Yu. A. Finite Parseval frames in Walsh analysis. (English. Russian original) Zbl 07566749 J. Math. Sci., New York 263, No. 4, 579-589 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 170, 118-128 (2019). MSC: 42C15 42C40 PDF BibTeX XML Cite \textit{Yu. A. Farkov}, J. Math. Sci., New York 263, No. 4, 579--589 (2022; Zbl 07566749); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 170, 118--128 (2019) Full Text: DOI OpenURL
Lal, Shyam; Kumar, Susheel On generalized Carleson operator with application in Walsh type wavelet packet expansions. (English) Zbl 1484.42033 Thai J. Math. 19, No. 2, 371-385 (2021). Reviewer: Qiao-Fang Lian (Beijing) MSC: 42C40 42C10 42C15 PDF BibTeX XML Cite \textit{S. Lal} and \textit{S. Kumar}, Thai J. Math. 19, No. 2, 371--385 (2021; Zbl 1484.42033) Full Text: Link OpenURL
Malhotra, Hari Krishan; Vashisht, Lalit Kumar Unitary extension principle for nonuniform wavelet frames in \(L^2(\mathbb{R} )\). (English) Zbl 07406967 J. Math. Phys. Anal. Geom. 17, No. 1, 79-94 (2021). MSC: 42C40 42C15 42C30 42C05 PDF BibTeX XML Cite \textit{H. K. Malhotra} and \textit{L. K. Vashisht}, J. Math. Phys. Anal. Geom. 17, No. 1, 79--94 (2021; Zbl 07406967) Full Text: arXiv Link OpenURL
Ahmad, Owais; Sheikh, Neyaz A. Nonuniform semi-orthogonal wavelet frames on non-Archimedean fields. (English) Zbl 1474.42140 Electron. J. Math. Anal. Appl. 9, No. 2, 295-307 (2021). MSC: 42C40 42C15 43A70 11S85 PDF BibTeX XML Cite \textit{O. Ahmad} and \textit{N. A. Sheikh}, Electron. J. Math. Anal. Appl. 9, No. 2, 295--307 (2021; Zbl 1474.42140) Full Text: Link OpenURL
Poumai, Khole Timothy; Kaushik, Shiv Kumar Wavelet frames in \(L^2(\mathbb{R}^{d})\). (English) Zbl 1455.42031 Rocky Mt. J. Math. 50, No. 2, 677-692 (2020). Reviewer: Somantika Datta (Moscow) MSC: 42C15 42C40 42C30 42C05 46B15 PDF BibTeX XML Cite \textit{K. T. Poumai} and \textit{S. K. Kaushik}, Rocky Mt. J. Math. 50, No. 2, 677--692 (2020; Zbl 1455.42031) Full Text: DOI Euclid OpenURL
Farkov, Yu. A.; Manchanda, Pammy; Siddiqi, Abul Hasan Construction of wavelets through Walsh functions. (English) Zbl 1418.42002 Industrial and Applied Mathematics. Singapore: Springer (ISBN 978-981-13-6369-6/hbk; 978-981-13-6370-2/ebook). xxii, 382 p. (2019). Reviewer: Richard A. Zalik (Auburn) MSC: 42-02 42C40 42C15 41A25 41A30 65L05 65L10 65R20 68U10 PDF BibTeX XML Cite \textit{Yu. A. Farkov} et al., Construction of wavelets through Walsh functions. Singapore: Springer (2019; Zbl 1418.42002) Full Text: DOI OpenURL
Adcock, Ben; Gataric, Milana; Romero, José Luis Computing reconstructions from nonuniform Fourier samples: universality of stability barriers and stable sampling rates. (English) Zbl 1459.42003 Appl. Comput. Harmon. Anal. 46, No. 2, 226-249 (2019). Reviewer: Manfred Tasche (Rostock) MSC: 42A10 42C15 42C40 94A20 94A11 65T40 65T60 PDF BibTeX XML Cite \textit{B. Adcock} et al., Appl. Comput. Harmon. Anal. 46, No. 2, 226--249 (2019; Zbl 1459.42003) Full Text: DOI arXiv OpenURL
Gumber, Anupam; Shukla, Niraj K. Uncertainty principle corresponding to an orthonormal wavelet system. (English) Zbl 1471.42074 Appl. Anal. 97, No. 3, 486-498 (2018). Reviewer: Owais Ahmad (Srinagar) MSC: 42C40 42C10 42C15 PDF BibTeX XML Cite \textit{A. Gumber} and \textit{N. K. Shukla}, Appl. Anal. 97, No. 3, 486--498 (2018; Zbl 1471.42074) Full Text: DOI OpenURL
Gumber, Anupam; Shukla, Niraj K. Orthogonality of a pair of frames over locally compact abelian groups. (English) Zbl 1377.42033 J. Math. Anal. Appl. 458, No. 2, 1344-1360 (2018). MSC: 42C15 46E30 PDF BibTeX XML Cite \textit{A. Gumber} and \textit{N. K. Shukla}, J. Math. Anal. Appl. 458, No. 2, 1344--1360 (2018; Zbl 1377.42033) Full Text: DOI arXiv OpenURL
Shah, Firdous A. Orthogonal wavelet frames generated by the Walsh polynomials. (English) Zbl 1413.42060 Acta Univ. Apulensis, Math. Inform. 49, 47-65 (2017). MSC: 42C15 42C40 42A38 41A17 22B99 PDF BibTeX XML Cite \textit{F. A. Shah}, Acta Univ. Apulensis, Math. Inform. 49, 47--65 (2017; Zbl 1413.42060) OpenURL
Khanna, Nikhil; Kumar, Varinder; Kaushik, S. K. Wavelet packet approximation. (English) Zbl 1348.42044 Integral Transforms Spec. Funct. 27, No. 9, 698-714 (2016). Reviewer: Manfred Tasche (Rostock) MSC: 42C40 44A15 PDF BibTeX XML Cite \textit{N. Khanna} et al., Integral Transforms Spec. Funct. 27, No. 9, 698--714 (2016; Zbl 1348.42044) Full Text: DOI OpenURL
Ji, Hui; Luo, Yu; Shen, Zuowei Image recovery via geometrically structured approximation. (English) Zbl 1382.94018 Appl. Comput. Harmon. Anal. 41, No. 1, 75-93 (2016). MSC: 94A08 94A11 42C15 PDF BibTeX XML Cite \textit{H. Ji} et al., Appl. Comput. Harmon. Anal. 41, No. 1, 75--93 (2016; Zbl 1382.94018) Full Text: DOI OpenURL
Sultanakhmedov, Murad Salikhovich Approximative properties of the Chebyshev wavelet series of the second kind. (Russian. English summary) Zbl 1474.42146 Vladikavkaz. Mat. Zh. 17, No. 3, 56-64 (2015). MSC: 42C40 42A10 42C10 41A99 PDF BibTeX XML Cite \textit{M. S. Sultanakhmedov}, Vladikavkaz. Mat. Zh. 17, No. 3, 56--64 (2015; Zbl 1474.42146) Full Text: MNR OpenURL
Li, Yun-Zhang; Lan, Nan A characterization of dimension functions of a class of semi-orthogonal Parseval frame wavelets. (English) Zbl 1308.42028 Math. Methods Appl. Sci. 38, No. 4, 751-764 (2015). MSC: 42C15 42C40 PDF BibTeX XML Cite \textit{Y.-Z. Li} and \textit{N. Lan}, Math. Methods Appl. Sci. 38, No. 4, 751--764 (2015; Zbl 1308.42028) Full Text: DOI OpenURL
Li, Youfa; Yang, Shouzhi A class of multiwavelets and projected frames from two-direction wavelets. (English) Zbl 1313.42099 Acta Math. Sci., Ser. B, Engl. Ed. 34, No. 2, 285-300 (2014). MSC: 42C40 42C15 PDF BibTeX XML Cite \textit{Y. Li} and \textit{S. Yang}, Acta Math. Sci., Ser. B, Engl. Ed. 34, No. 2, 285--300 (2014; Zbl 1313.42099) Full Text: DOI OpenURL
Krivoshein, A. V.; Ogneva, M. A. Symmetric orthogonal wavelets with dilation factor \(M=3\). (English. Russian original) Zbl 1311.42090 J. Math. Sci., New York 194, No. 6, 667-677 (2013); translation from Zap. Nauchn. Sem. POMI 401, 122-143 (2012). Reviewer: Bin Han (Edmonton) MSC: 42C40 42C15 PDF BibTeX XML Cite \textit{A. V. Krivoshein} and \textit{M. A. Ogneva}, J. Math. Sci., New York 194, No. 6, 667--677 (2013; Zbl 1311.42090); translation from Zap. Nauchn. Sem. POMI 401, 122--143 (2012) Full Text: DOI OpenURL
Iqbal, Javid; Ali, Javid Wavelet packet transform on \(L^p(\mathbb R)\) spaces. (English) Zbl 1297.42048 J. Nonlinear Sci. Appl. 6, No. 4, 305-311 (2013). MSC: 42C40 41A58 42C15 42C05 42C10 PDF BibTeX XML Cite \textit{J. Iqbal} and \textit{J. Ali}, J. Nonlinear Sci. Appl. 6, No. 4, 305--311 (2013; Zbl 1297.42048) Full Text: DOI Link OpenURL
Han, Bin; Zhuang, Xiaosheng Algorithms for matrix extension and orthogonal wavelet filter banks over algebraic number fields. (English) Zbl 1275.42052 Math. Comput. 82, No. 281, 459-490 (2013). Reviewer: Ghanshyam Bhatt (Nashville) MSC: 42C40 42C15 65T60 41A05 PDF BibTeX XML Cite \textit{B. Han} and \textit{X. Zhuang}, Math. Comput. 82, No. 281, 459--490 (2013; Zbl 1275.42052) Full Text: DOI OpenURL
Shah, F. A. Biorthogonal \(p\)-wavelet packets related to the Walsh polynomials. (English) Zbl 1412.42094 J. Class. Anal. 1, No. 2, 135-146 (2012). MSC: 42C40 42C15 42C10 PDF BibTeX XML Cite \textit{F. A. Shah}, J. Class. Anal. 1, No. 2, 135--146 (2012; Zbl 1412.42094) Full Text: DOI OpenURL
Shah, Firdous Ahmad On some properties of \(p\)-wavelet packets via the Walsh-Fourier transform. (English) Zbl 1413.42065 J. Nonlinear Anal. Optim. 3, No. 2, 185-193 (2012). MSC: 42C40 42C15 42C10 PDF BibTeX XML Cite \textit{F. A. Shah}, J. Nonlinear Anal. Optim. 3, No. 2, 185--193 (2012; Zbl 1413.42065) Full Text: Link OpenURL
Shah, F. A. Non-orthogonal \(p\)-wavelet packets on the half-line. (English) Zbl 1289.42110 Anal. Theory Appl. 28, No. 4, 385-396 (2012). MSC: 42C40 42C10 42C15 PDF BibTeX XML Cite \textit{F. A. Shah}, Anal. Theory Appl. 28, No. 4, 385--396 (2012; Zbl 1289.42110) Full Text: DOI OpenURL
Vasudha, N.; Sundararajan, N. Detection of discontinuity in ECG using wavelet transform. (English) Zbl 1262.94010 Appl. Math. Sci., Ruse 6, No. 117-120, 5835-5840 (2012). MSC: 94A11 42C15 92C55 PDF BibTeX XML Cite \textit{N. Vasudha} and \textit{N. Sundararajan}, Appl. Math. Sci., Ruse 6, No. 117--120, 5835--5840 (2012; Zbl 1262.94010) Full Text: Link OpenURL
Wang, Ruye Introduction to orthogonal transforms. With applications in data processing and analysis. (English) Zbl 1272.94001 Cambridge: Cambridge University Press (ISBN 978-0-521-51688-4/hbk). xxii, 568 p. (2012). Reviewer: Wenchang Sun (Tianjin) MSC: 94-01 42-01 94A11 94A12 42C15 42C40 PDF BibTeX XML Cite \textit{R. Wang}, Introduction to orthogonal transforms. With applications in data processing and analysis. Cambridge: Cambridge University Press (2012; Zbl 1272.94001) Full Text: DOI OpenURL
Shah, F. A.; Debnath, Lokenath \(p\)-wavelet frame packets on a half-line using the Walsh-Fourier transform. (English) Zbl 1238.42014 Integral Transforms Spec. Funct. 22, No. 12, 907-917 (2011). Reviewer: Kai Schneider (Marseille) MSC: 42C15 42C40 42C10 42A38 PDF BibTeX XML Cite \textit{F. A. Shah} and \textit{L. Debnath}, Integral Transforms Spec. Funct. 22, No. 12, 907--917 (2011; Zbl 1238.42014) Full Text: DOI OpenURL
Shah, F. A.; Debnath, Lokenath Dyadic wavelet frames on a half-line using the Walsh-Fourier transform. (English) Zbl 1263.42014 Integral Transforms Spec. Funct. 22, No. 7, 477-486 (2011). MSC: 42C15 42C40 42C05 42C10 PDF BibTeX XML Cite \textit{F. A. Shah} and \textit{L. Debnath}, Integral Transforms Spec. Funct. 22, No. 7, 477--486 (2011; Zbl 1263.42014) Full Text: DOI OpenURL
Novikov, I. Ya.; Protasov, V. Yu.; Skopina, M. A. Wavelet theory. Transl. from the Russian by Evgenia Sorokina. (English) Zbl 1213.42002 Translations of Mathematical Monographs 239. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4984-2/hbk). xiii, 506 p. (2011). Reviewer: Manfred Tasche (Rostock) MSC: 42-02 42C40 46E35 PDF BibTeX XML Cite \textit{I. Ya. Novikov} et al., Wavelet theory. Transl. from the Russian by Evgenia Sorokina. Providence, RI: American Mathematical Society (AMS) (2011; Zbl 1213.42002) OpenURL
Shouzhi, Y.; Yanmei, X. Construction of compactly supported nonseparable orthogonal wavelets of \(L^2(\mathbb{R}^n)\). (English) Zbl 1216.42007 Bull. Iran. Math. Soc. 36, No. 1, 183-199 (2010). MSC: 42C15 94A12 PDF BibTeX XML Cite \textit{Y. Shouzhi} and \textit{X. Yanmei}, Bull. Iran. Math. Soc. 36, No. 1, 183--199 (2010; Zbl 1216.42007) OpenURL
Shah, Firdous Ahmad; Wahid, Abdul Wavelet packets on locally compact abelian groups. (English) Zbl 1224.42087 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 18, No. 2, 223-240 (2010). MSC: 42C15 42C40 42A38 41A25 PDF BibTeX XML Cite \textit{F. A. Shah} and \textit{A. Wahid}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 18, No. 2, 223--240 (2010; Zbl 1224.42087) Full Text: EuDML OpenURL
Alvarez-Madrigal, M.; Pérez-Peraza, J.; Velasco, V. M. The influence of cosmic rays on the size of the antarctic ozone hole. (English) Zbl 1191.86032 Curr. Dev. Theory Appl. Wavelets 3, No. 3, 233-248 (2009). MSC: 86A99 85A99 92E99 42C15 94A11 PDF BibTeX XML Cite \textit{M. Alvarez-Madrigal} et al., Curr. Dev. Theory Appl. Wavelets 3, No. 3, 233--248 (2009; Zbl 1191.86032) Full Text: arXiv Link OpenURL
Farkov, Yu. A. On wavelets related to the Walsh series. (English) Zbl 1205.42030 J. Approx. Theory 161, No. 1, 259-279 (2009). Reviewer: Wenchang Sun (Tianjin) MSC: 42C40 42C15 PDF BibTeX XML Cite \textit{Yu. A. Farkov}, J. Approx. Theory 161, No. 1, 259--279 (2009; Zbl 1205.42030) Full Text: DOI OpenURL
Wang, Jinru; Zhang, Hua Pointwise convergence of the wavelet solution to the parabolic equation with variable coefficients. (English) Zbl 1199.42158 Anal. Theory Appl. 24, No. 4, 303-315 (2008). MSC: 42C40 42C15 94A11 PDF BibTeX XML Cite \textit{J. Wang} and \textit{H. Zhang}, Anal. Theory Appl. 24, No. 4, 303--315 (2008; Zbl 1199.42158) Full Text: DOI OpenURL
Hemmat, A. Askari; Kheirdeh, M. J. Fractal sets and their relation with wavelet sets. (English) Zbl 1155.42308 Curr. Dev. Theory Appl. Wavelets 2, No. 1, 105-118 (2008). MSC: 42C15 46E15 42B99 42C05 PDF BibTeX XML Cite \textit{A. A. Hemmat} and \textit{M. J. Kheirdeh}, Curr. Dev. Theory Appl. Wavelets 2, No. 1, 105--118 (2008; Zbl 1155.42308) Full Text: Link OpenURL
Karoui, Abderrazek A general construction of nonseparable multivariate orthonormal wavelet bases. (English) Zbl 1151.42009 Cent. Eur. J. Math. 6, No. 4, 504-525 (2008). MSC: 42C40 42C15 42C05 PDF BibTeX XML Cite \textit{A. Karoui}, Cent. Eur. J. Math. 6, No. 4, 504--525 (2008; Zbl 1151.42009) Full Text: DOI OpenURL
Zalik, Richard A. Bases of translates and multiresolution analyses. (English) Zbl 1141.42025 Appl. Comput. Harmon. Anal. 24, No. 1, 41-57 (2008); corrigendum ibid. Anal. 29, No. 1, 121 (2010). MSC: 42C40 42C15 PDF BibTeX XML Cite \textit{R. A. Zalik}, Appl. Comput. Harmon. Anal. 24, No. 1, 41--57 (2008; Zbl 1141.42025) Full Text: DOI OpenURL
Jiang, Yingchun Divergence-free wavelet solution to the Stokes problem. (English) Zbl 1150.42013 Anal. Theory Appl. 23, No. 1, 83-91 (2007). MSC: 42C15 94A11 PDF BibTeX XML Cite \textit{Y. Jiang}, Anal. Theory Appl. 23, No. 1, 83--91 (2007; Zbl 1150.42013) Full Text: DOI OpenURL
Dutkay, Dorin Ervin; Jorgensen, Palle E. T. Martingales, endomorphisms, and covariant systems of operators in Hilbert space. (English) Zbl 1134.47305 J. Oper. Theory 58, No. 2, 269-310 (2007). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 47C15 33C50 42C15 42C40 46E22 47B32 60G44 PDF BibTeX XML Cite \textit{D. E. Dutkay} and \textit{P. E. T. Jorgensen}, J. Oper. Theory 58, No. 2, 269--310 (2007; Zbl 1134.47305) Full Text: arXiv OpenURL
Kim, Hong Oh; Kim, Rae Young; Lim, Jae Kun; Shen, Zuowei A pair of orthogonal frames. (English) Zbl 1116.42009 J. Approximation Theory 147, No. 2, 196-204 (2007). MSC: 42C15 42C40 PDF BibTeX XML Cite \textit{H. O. Kim} et al., J. Approx. Theory 147, No. 2, 196--204 (2007; Zbl 1116.42009) Full Text: DOI OpenURL
Wang, Kunchuan Necessary and sufficient conditions for expansions of Gabor type. (English) Zbl 1215.42050 Anal. Theory Appl. 22, No. 2, 155-171 (2006). MSC: 42C40 42B10 42C15 PDF BibTeX XML Cite \textit{K. Wang}, Anal. Theory Appl. 22, No. 2, 155--171 (2006; Zbl 1215.42050) Full Text: DOI OpenURL
Jiang, Yingchun; Liu, Youming The completeness of orthogonal wavelet systems in \(\ell^{2}(\mathbb Z)\). (Chinese. English summary) Zbl 1187.42026 Acta Math. Sin., Chin. Ser. 49, No. 5, 1075-1084 (2006). MSC: 42C15 94A11 PDF BibTeX XML Cite \textit{Y. Jiang} and \textit{Y. Liu}, Acta Math. Sin., Chin. Ser. 49, No. 5, 1075--1084 (2006; Zbl 1187.42026) OpenURL
Wang, Jinru Pointwise convergence of the wavelet solution to the parabolic equation. (Chinese. English summary) Zbl 1187.42028 Acta Math. Sin., Chin. Ser. 49, No. 4, 809-818 (2006). MSC: 42C15 94A11 PDF BibTeX XML Cite \textit{J. Wang}, Acta Math. Sin., Chin. Ser. 49, No. 4, 809--818 (2006; Zbl 1187.42028) OpenURL
Fornasier, Massimo; Feichtinger, Hans G. Flexible Gabor-wavelet atomic decompositions for \(L^2\) -Sobolev spaces. (English) Zbl 1105.42027 Ann. Mat. Pura Appl., IV. Ser. 185, No. 1, 105-131 (2006). Reviewer: Richard A. Zalik (Auburn University) MSC: 42C40 46S30 49M27 65T60 PDF BibTeX XML Cite \textit{M. Fornasier} and \textit{H. G. Feichtinger}, Ann. Mat. Pura Appl. (4) 185, No. 1, 105--131 (2006; Zbl 1105.42027) Full Text: DOI OpenURL
Farkov, Yu. A. Orthogonal \(p\)-wavelets on \(\mathbb R_+\). (English) Zbl 1098.42026 Skopina, M. (ed.), International conference on wavelets and splines, St. Petersburg, Russia, July 3–8, 2003. Proceedings. St. Petersburg: St. Petersburg University Press (ISBN 5-288-03733-7/pbk). 4-26 (2005). MSC: 42C40 42A55 42C15 42C10 PDF BibTeX XML Cite \textit{Yu. A. Farkov}, in: International conference on wavelets and splines, St. Petersburg, Russia, July 3--8, 2003. Proceedings. St. Petersburg: St. Petersburg University Press. 4--26 (2005; Zbl 1098.42026) OpenURL
Cordero, Elena \(M\)-channel MRA and application to anisotropic Sobolev spaces. (English) Zbl 1088.42020 Int. J. Wavelets Multiresolut. Inf. Process. 3, No. 2, 153-166 (2005). Reviewer: Qiyu Sun (Orlando) MSC: 42C40 42C15 41A17 46E35 PDF BibTeX XML Cite \textit{E. Cordero}, Int. J. Wavelets Multiresolut. Inf. Process. 3, No. 2, 153--166 (2005; Zbl 1088.42020) Full Text: DOI OpenURL
Hogan, Jeffrey A.; Lakey, Joseph D. Time-frequency and time-scale methods. Adaptive decompositions, uncertainty principles, and sampling. (English) Zbl 1079.42027 Applied and Numerical Harmonic Analysis. Boston, MA: Birkhäuser (ISBN 0-8176-4276-5/hbk). xxii, 388 p. (2005). Reviewer: Wojciech Czaja (Wien) MSC: 42C40 42Cxx 42B05 42B20 42B25 42C10 42C15 42C30 62D05 65T60 81Q05 81Q10 81Q15 81Q20 81Qxx 94A12 94A20 PDF BibTeX XML Cite \textit{J. A. Hogan} and \textit{J. D. Lakey}, Time-frequency and time-scale methods. Adaptive decompositions, uncertainty principles, and sampling. Boston, MA: Birkhäuser (2005; Zbl 1079.42027) OpenURL
Wolnik, Barbara The Walsh transform of wavelet type systems: convergence almost everywhere. (English) Zbl 1089.42016 Funct. Approximatio, Comment. Math. 32, 79-98 (2004). Reviewer: Ferenc Weisz (Budapest) MSC: 42C10 42C15 40A30 40G05 41A15 42C40 PDF BibTeX XML Cite \textit{B. Wolnik}, Funct. Approximatio, Comment. Math. 32, 79--98 (2004; Zbl 1089.42016) OpenURL
Kamont, Anna; Wolnik, Barbara The Walsh transform of wavelet type systems: divergence almost everywhere. (English) Zbl 1089.42014 Funct. Approximatio, Comment. Math. 32, 57-66 (2004). Reviewer: Ferenc Weisz (Budapest) MSC: 42C10 42C15 40A30 40G05 41A15 42C40 PDF BibTeX XML Cite \textit{A. Kamont} and \textit{B. Wolnik}, Funct. Approximatio, Comment. Math. 32, 57--66 (2004; Zbl 1089.42014) OpenURL
Ruiz-Medina, M. D.; Angulo, J. M. Spatio-temporal filtering using wavelets. (English) Zbl 1021.62081 Stoch. Environ. Res. Risk Assess. 16, No. 4, 241-266 (2002). MSC: 62M30 62M10 PDF BibTeX XML Cite \textit{M. D. Ruiz-Medina} and \textit{J. M. Angulo}, Stoch. Environ. Res. Risk Assess. 16, No. 4, 241--266 (2002; Zbl 1021.62081) Full Text: DOI OpenURL
Prestin, Jürgen; Selig, Kathi K. On a constructive representation of an orthogonal trigonometric Schauder basis for \(C_{2\pi}\). (English) Zbl 1015.42025 Elschner, J. (ed.) et al., Problems and methods in mathematical physics. The Siegfried Prössdorf memorial volume. Proceedings of the 11th TMP conference, Chemnitz, Germany, March 25-28, 1999. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 121, 402-425 (2001). Reviewer: Richard A.Zalik (Auburn University) MSC: 42C40 42C15 42A10 PDF BibTeX XML Cite \textit{J. Prestin} and \textit{K. K. Selig}, in: Problems and methods in mathematical physics. The Siegfried Prössdorf memorial volume. Proceedings of the 11th TMP conference, Chemnitz, Germany, March 25--28, 1999. Basel: Birkhäuser. 402--425 (2001; Zbl 1015.42025) OpenURL
He, Jianxun The orthogonal direct sum decomposition of cylindrical function space in \(L^2(E_{n+1}^+,\frac{dxdy}{y^{n+1}})\). (Chinese. English summary) Zbl 0961.22009 J. Math. Res. Expo. 20, No. 3, 455-458 (2000). MSC: 22E27 42C15 PDF BibTeX XML Cite \textit{J. He}, J. Math. Res. Expo. 20, No. 3, 455--458 (2000; Zbl 0961.22009) OpenURL
Bratteli, Ola; Jørgensen, Palle E. T. Iterated function systems and permutation representations of the Cuntz algebra. (English) Zbl 0935.46057 Mem. Am. Math. Soc. 663, 89 p. (1999). Reviewer: Isamu Dôku (Urawa) MSC: 46L55 47C15 42C05 22E25 11B85 42C15 PDF BibTeX XML Cite \textit{O. Bratteli} and \textit{P. E. T. Jørgensen}, Iterated function systems and permutation representations of the Cuntz algebra. Providence, RI: American Mathematical Society (AMS) (1999; Zbl 0935.46057) Full Text: DOI arXiv Link OpenURL
Unser, Michael; Thévenaz, Philippe; Aldroubi, Akram Shift-orthogonal wavelet bases. (English) Zbl 0990.94004 IEEE Trans. Signal Process. 46, No. 7, 1827-1836 (1998). MSC: 94A11 94A12 42C15 65T60 PDF BibTeX XML Cite \textit{M. Unser} et al., IEEE Trans. Signal Process. 46, No. 7, 1827--1836 (1998; Zbl 0990.94004) Full Text: DOI Link OpenURL
Walter, Gilbert G.; Shim, Hong-Tae Gibbs’ phenomenon for sampling series and what to do about it. (English) Zbl 0928.42024 J. Fourier Anal. Appl. 4, No. 3, 357-375 (1998). MSC: 42C40 94A12 PDF BibTeX XML Cite \textit{G. G. Walter} and \textit{H.-T. Shim}, J. Fourier Anal. Appl. 4, No. 3, 357--375 (1998; Zbl 0928.42024) Full Text: DOI EuDML OpenURL
Jerri, Abdul J. The Gibbs phenomenon in Fourier analysis, splines and wavelet approximations. (English) Zbl 0918.42001 Mathematics and its Applications (Dordrecht). 446. Dordrecht: Kluwer Academic Publishers. xvii, 336 p. (1998). Reviewer: Richard A.Zalik (Auburn University) MSC: 42-01 42A10 42C40 42C10 42A20 94A12 41A15 PDF BibTeX XML Cite \textit{A. J. Jerri}, The Gibbs phenomenon in Fourier analysis, splines and wavelet approximations. Dordrecht: Kluwer Academic Publishers (1998; Zbl 0918.42001) OpenURL
Yang, Zi-Jiang; Sagara, Setsuo; Tsuji, Teruo Multiresolution approach to identification of system impulse response. (English) Zbl 0919.93078 Katayama, Tohru (ed.) et al., Statistical methods in control and signal processing. New York, NY: Marcel Dekker, Inc. Electr. Eng. Electron. 103, 149-177 (1997). Reviewer: Z.Hasiewicz (Wrocław) MSC: 93E12 42C15 93E24 PDF BibTeX XML Cite \textit{Z.-J. Yang} et al., Electr. Eng. Electron. 103, 149--177 (1997; Zbl 0919.93078) OpenURL
Prestin, J.; Sprengel, F. An orthonormal bivariate algebraic polynomial basis for \(C(I^2)\) of low degree. (English) Zbl 0920.42022 Haußmann, Werner (ed.) et al., Multivariate approximation. Recent trends and results. Proceedings of the 2nd international conference, Witten-Bommerholz, Germany, September 29–October 4, 1996. Berlin: Akademie Verlag. Math. Res. 101, 177-188 (1997). MSC: 42C15 42C05 PDF BibTeX XML Cite \textit{J. Prestin} and \textit{F. Sprengel}, in: Multivariate approximation. Recent trends and results. Proceedings of the 2nd international conference, Witten-Bommerholz, Germany, September 29--October 4, 1996. Berlin: Akademie Verlag. 177--188 (1997; Zbl 0920.42022) OpenURL
Bultheel, Adhemar; Van Barel, Marc Linear algebra, rational approximation and orthogonal polynomials. (English) Zbl 0890.65024 Studies in Computational Mathematics. 6. Amsterdam: North-Holland. 446 p. (1997). Reviewer: W.Gander (Zürich) MSC: 65Fxx 65-02 41-02 15-02 41A20 41A21 42C05 11A05 16W60 15B57 40A20 65T50 44A60 PDF BibTeX XML Cite \textit{A. Bultheel} and \textit{M. Van Barel}, Linear algebra, rational approximation and orthogonal polynomials. Amsterdam: North-Holland (1997; Zbl 0890.65024) OpenURL
Lawton, Wayne A fast algorithm to map functions forward. (English) Zbl 0868.94005 Multidimensional Syst. Signal Process. 8, No. 1-2, 219-227 (1997). MSC: 94A11 94A12 PDF BibTeX XML Cite \textit{W. Lawton}, Multidimensional Syst. Signal Process. 8, No. 1--2, 219--227 (1997; Zbl 0868.94005) Full Text: DOI OpenURL
Unser, Michael Quasi-orthogonality and quasi-projections. (English) Zbl 0864.42015 Appl. Comput. Harmon. Anal. 3, No. 3, 201-214 (1996). MSC: 42C15 41A15 94A12 PDF BibTeX XML Cite \textit{M. Unser}, Appl. Comput. Harmon. Anal. 3, No. 3, 201--214 (1996; Zbl 0864.42015) Full Text: DOI Link OpenURL
Antoniadis, Anestis Smoothing noisy data with tapered coiflets series. (English) Zbl 0861.62028 Scand. J. Stat. 23, No. 3, 313-330 (1996). MSC: 62G07 62G20 42C15 PDF BibTeX XML Cite \textit{A. Antoniadis}, Scand. J. Stat. 23, No. 3, 313--330 (1996; Zbl 0861.62028) OpenURL
Jaffard, Stéphane Functions with prescribed Hölder exponent. (English) Zbl 0835.42021 Appl. Comput. Harmon. Anal. 2, No. 4, 400-401 (1995). MSC: 42C15 PDF BibTeX XML Cite \textit{S. Jaffard}, Appl. Comput. Harmon. Anal. 2, No. 4, 400--401 (1995; Zbl 0835.42021) Full Text: DOI OpenURL
Krim, Hamid; Pesquet, Jean-Christophe Multiresolution analysis of a class of nonstationary processes. (English) Zbl 0833.60042 IEEE Trans. Inf. Theory 41, No. 4, 1010-1020 (1995). MSC: 60G12 94A11 42C15 PDF BibTeX XML Cite \textit{H. Krim} and \textit{J.-C. Pesquet}, IEEE Trans. Inf. Theory 41, No. 4, 1010--1020 (1995; Zbl 0833.60042) Full Text: DOI Link OpenURL
Coifman, R. R.; Meyer, Y.; Wickerhauser, V. Numerical harmonic analysis. (English) Zbl 0863.42021 Fefferman, Charles (ed.) et al., Essays on Fourier analysis in honor of Elias M. Stein. Proceedings of the Princeton conference on harmonic analysis held at Princeton Univ., Princeton, NJ, USA, May 13-17, 1991 in honor of Elias M. Stein’s 60th birthday. Princeton, NJ: Princeton Univ. Press. Princeton Math. Ser. 42, 162-174 (1995). Reviewer: A.Bultheel (Leuven) MSC: 42C15 65T99 PDF BibTeX XML Cite \textit{R. R. Coifman} et al., Princeton Math. Ser. 42, 162--174 (1995; Zbl 0863.42021) OpenURL
Walter, Gilbert G. Pointwise convergence of wavelet expansions. (English) Zbl 0821.42019 J. Approximation Theory 80, No. 1, 108-118 (1995). Reviewer: P.Maaß (Potsdam) MSC: 42C40 PDF BibTeX XML Cite \textit{G. G. Walter}, J. Approx. Theory 80, No. 1, 108--118 (1995; Zbl 0821.42019) Full Text: DOI OpenURL
Freeden, Willi; Schreiner, Michael Non-orthogonal expansions on the sphere. (English) Zbl 0849.42017 Math. Methods Appl. Sci. 18, No. 2, 83-120 (1995). MSC: 42C15 42B20 47A20 33C45 PDF BibTeX XML Cite \textit{W. Freeden} and \textit{M. Schreiner}, Math. Methods Appl. Sci. 18, No. 2, 83--120 (1995; Zbl 0849.42017) Full Text: DOI OpenURL
Antoniadis, Anestis Smoothing noisy data with coiflets. (English) Zbl 0824.62030 Stat. Sin. 4, No. 2, 651-678 (1994). MSC: 62G07 65D10 62G20 65C99 42C15 PDF BibTeX XML Cite \textit{A. Antoniadis}, Stat. Sin. 4, No. 2, 651--678 (1994; Zbl 0824.62030) OpenURL
Sweldens, Wim; Piessens, Robert Asymptotic error expansion of wavelet approximations of smooth functions. II. (English) Zbl 0839.65022 Numer. Math. 68, No. 3, 377-401 (1994). Reviewer: M.Gaşpar (Iaşi) MSC: 65D20 41A60 65T60 42C40 33C45 PDF BibTeX XML Cite \textit{W. Sweldens} and \textit{R. Piessens}, Numer. Math. 68, No. 3, 377--401 (1994; Zbl 0839.65022) Full Text: DOI Link OpenURL
Wells, Raymond O. jun. Parametrizing smooth compactly supported wavelets. (English) Zbl 0777.41029 Trans. Am. Math. Soc. 338, No. 2, 919-931 (1993). MSC: 41A58 42C40 PDF BibTeX XML Cite \textit{R. O. Wells jun.}, Trans. Am. Math. Soc. 338, No. 2, 919--931 (1993; Zbl 0777.41029) Full Text: DOI OpenURL
Wickerhauser, Mladen Victor Computation with adapted time-frequency atoms. (English) Zbl 0925.42009 Meyer, Yves (ed.) et al., Progress in wavelet analysis and applications. Proceedings of the 3rd international conference on wavelets and applications, Toulouse, France, June 8-13, 1992. Gif-sur-Yvette: Editions Frontières. 175-184 (1993). MSC: 42C15 PDF BibTeX XML Cite \textit{M. V. Wickerhauser}, in: Progress in wavelet analysis and applications. Proceedings of the 3rd international conference on wavelets and applications, Toulouse, France, June 8-13, 1992. Gif-sur-Yvette: Editions Frontières. 175--184 (1993; Zbl 0925.42009) OpenURL
Feichtinger, H. G.; Gröchenig, K. Non-orthogonal wavelet and Gabor expansions, and group representations. (English) Zbl 0832.42022 Ruskai, Mary Beth (ed.) et al., Wavelets and their applications. Boston, MA etc.: Jones and Bartlett Publishers. 353-375 (1992). Reviewer: C.Pfeffer Johnston (Boca Raton) MSC: 42C40 43A15 22D10 PDF BibTeX XML Cite \textit{H. G. Feichtinger} and \textit{K. Gröchenig}, in: Wavelets and their applications. Boston, MA etc.: Jones and Bartlett Publishers. 353--375 (1992; Zbl 0832.42022) OpenURL
Alpert, Bradley K. Wavelets and other bases for fast numerical linear algebra. (English) Zbl 0798.65127 Wavelets: a tutorial in theory and applications, Wavelet Anal. Appl. 2, 181-216 (1992). Reviewer: E.Kreyszig (Ottawa) MSC: 65T40 65F05 42C40 PDF BibTeX XML Cite \textit{B. K. Alpert}, in: Wavelets: A tutorial in theory and applications. Boston, MA etc.: Academic Press. 181--216 (1992; Zbl 0798.65127) OpenURL
Pollen, David Daubechies’ scaling function on \([0,3]\). (English) Zbl 0760.42017 Wavelets: a tutorial in theory and applications, Wavelet Anal. Appl. 2, 3-13 (1992). MSC: 42C15 PDF BibTeX XML Cite \textit{D. Pollen}, in: Wavelets: A tutorial in theory and applications. Boston, MA etc.: Academic Press. 3--13 (1992; Zbl 0760.42017) OpenURL
Privalov, A. A. On an orthogonal trigonometric basis. (English. Russian original) Zbl 0782.42003 Math. USSR, Sb. 72, No. 2, 363-372 (1992); translation from Mat. Sb. 182, No. 3, 384-394 (1991). MSC: 42A10 46B15 42A15 42C15 PDF BibTeX XML Cite \textit{A. A. Privalov}, Math. USSR, Sb. 72, No. 2, 363--372 (1992; Zbl 0782.42003); translation from Mat. Sb. 182, No. 3, 384--394 (1991) Full Text: DOI OpenURL
Privalov, A. A. On a trigonometric orthogonal basis. (Russian) Zbl 0758.42003 Mat. Sb. 182, No. 3, 384-394 (1991). Reviewer: J.Prestin (Rostock) MSC: 42A10 46B15 42A15 42C15 PDF BibTeX XML Cite \textit{A. A. Privalov}, Mat. Sb. 182, No. 3, 384--394 (1991; Zbl 0758.42003) Full Text: EuDML OpenURL
Strichartz, Robert S. Wavelet expansions of fractal measures. (English) Zbl 0734.28011 J. Geom. Anal. 1, No. 3, 269-289 (1991). Reviewer: H.Haase (Greifswald) MSC: 28A80 42C10 PDF BibTeX XML Cite \textit{R. S. Strichartz}, J. Geom. Anal. 1, No. 3, 269--289 (1991; Zbl 0734.28011) Full Text: DOI OpenURL