Saito, Naoki; Shao, Yiqun eGHWT: the extended generalized Haar-Walsh transform. (English) Zbl 07510343 J. Math. Imaging Vis. 64, No. 3, 261-283 (2022). MSC: 68-XX 94-XX PDF BibTeX XML Cite \textit{N. Saito} and \textit{Y. Shao}, J. Math. Imaging Vis. 64, No. 3, 261--283 (2022; Zbl 07510343) Full Text: DOI arXiv OpenURL
Siraj-ul-Islam; Haider, Nadeem; Aziz, Imran Meshless and multi-resolution collocation techniques for parabolic interface models. (English) Zbl 1427.65303 Appl. Math. Comput. 335, 313-332 (2018). MSC: 65M70 35J25 PDF BibTeX XML Cite \textit{Siraj-ul-Islam} et al., Appl. Math. Comput. 335, 313--332 (2018; Zbl 1427.65303) Full Text: DOI OpenURL
Ayache, Antoine; Esser, Céline; Peng, Qidi Almost sure approximations in Hölder norms of a general stochastic process defined by a Young integral. (English) Zbl 1393.60056 ALEA, Lat. Am. J. Probab. Math. Stat. 15, No. 2, 775-810 (2018). MSC: 60H05 42C40 60G17 PDF BibTeX XML Cite \textit{A. Ayache} et al., ALEA, Lat. Am. J. Probab. Math. Stat. 15, No. 2, 775--810 (2018; Zbl 1393.60056) Full Text: Link OpenURL
Aziz, Imran; Siraj-ul-Islam; Haider, Nadeem Meshless and multi-resolution collocation techniques for steady state interface models. (English) Zbl 1404.65067 Int. J. Comput. Methods 15, No. 1, Article ID 1750073, 37 p. (2018). MSC: 65L10 65L60 PDF BibTeX XML Cite \textit{I. Aziz} et al., Int. J. Comput. Methods 15, No. 1, Article ID 1750073, 37 p. (2018; Zbl 1404.65067) Full Text: DOI OpenURL
Babaaghaie, A.; Maleknejad, K. Numerical solutions of nonlinear two-dimensional partial Volterra integro-differential equations by Haar wavelet. (English) Zbl 1357.65311 J. Comput. Appl. Math. 317, 643-651 (2017). MSC: 65R20 45K05 45D05 65T60 45G10 PDF BibTeX XML Cite \textit{A. Babaaghaie} and \textit{K. Maleknejad}, J. Comput. Appl. Math. 317, 643--651 (2017; Zbl 1357.65311) Full Text: DOI OpenURL
Siraj-ul-Islam; Aziz, Imran; Ahmad, Masood Numerical solution of two-dimensional elliptic PDEs with nonlocal boundary conditions. (English) Zbl 1360.65290 Comput. Math. Appl. 69, No. 3, 180-205 (2015). MSC: 65N35 35J25 PDF BibTeX XML Cite \textit{Siraj-ul-Islam} et al., Comput. Math. Appl. 69, No. 3, 180--205 (2015; Zbl 1360.65290) Full Text: DOI OpenURL
Evdokimov, S.; Skopina, M. On orthogonal \(p\)-adic wavelet bases. (English) Zbl 1304.42087 J. Math. Anal. Appl. 424, No. 2, 952-965 (2015). MSC: 42C40 PDF BibTeX XML Cite \textit{S. Evdokimov} and \textit{M. Skopina}, J. Math. Anal. Appl. 424, No. 2, 952--965 (2015; Zbl 1304.42087) Full Text: DOI arXiv OpenURL
Pourgholi, Reza; Esfahani, Amin; Foadian, Saedeh; Parehkar, Sona Resolution of an inverse problem by Haar basis and Legendre wavelet methods. (English) Zbl 1277.65079 Int. J. Wavelets Multiresolut. Inf. Process. 11, No. 5, Article ID 1350034, 21 p. (2013). MSC: 65M32 35K55 35R30 65T60 65M30 65M12 PDF BibTeX XML Cite \textit{R. Pourgholi} et al., Int. J. Wavelets Multiresolut. Inf. Process. 11, No. 5, Article ID 1350034, 21 p. (2013; Zbl 1277.65079) Full Text: DOI OpenURL
Gavish, Matan; Coifman, Ronald R. Sampling, denoising and compression of matrices by coherent matrix organization. (English) Zbl 1256.65036 Appl. Comput. Harmon. Anal. 33, No. 3, 354-369 (2012). MSC: 65F30 42C40 PDF BibTeX XML Cite \textit{M. Gavish} and \textit{R. R. Coifman}, Appl. Comput. Harmon. Anal. 33, No. 3, 354--369 (2012; Zbl 1256.65036) Full Text: DOI OpenURL
Lukomskii, S. F. Haar system on the product of groups of \(p\)-adic integers. (English. Russian original) Zbl 1290.42067 Math. Notes 90, No. 4, 517-532 (2011); translation from Math. Zametki 90, No. 4, 541-557 (2011). Reviewer: Khristo N. Boyadzhiev (Ada) MSC: 42C40 PDF BibTeX XML Cite \textit{S. F. Lukomskii}, Math. Notes 90, No. 4, 517--532 (2011; Zbl 1290.42067); translation from Math. Zametki 90, No. 4, 541--557 (2011) Full Text: DOI OpenURL
Izuki, Mitsuo; Sawano, Yoshihiro The Haar wavelet characterization of weighted Herz spaces and greediness of the Haar wavelet basis. (English) Zbl 1180.42023 J. Math. Anal. Appl. 362, No. 1, 140-155 (2010). Reviewer: Gustaf Gripenberg (Hut) MSC: 42C40 46B15 PDF BibTeX XML Cite \textit{M. Izuki} and \textit{Y. Sawano}, J. Math. Anal. Appl. 362, No. 1, 140--155 (2010; Zbl 1180.42023) Full Text: DOI OpenURL
Safavi, A. A. Comments on “Volterra kernel identification using triangular wavelets” [J. Vib. Control 10, No. 4, 597-622 (2004; Zbl 1078.93019)]. (English) Zbl 1182.93043 J. Vib. Control 13, No. 6, 839-846 (2007). MSC: 93B30 65T60 PDF BibTeX XML Cite \textit{A. A. Safavi}, J. Vib. Control 13, No. 6, 839--846 (2007; Zbl 1182.93043) Full Text: DOI OpenURL
Cattani, Carlo; Sánchez Ruiz, Luis M. Discrete differential operators in multidimensional Haar wavelet spaces. (English) Zbl 1075.39008 Int. J. Math. Math. Sci. 2004, No. 41-44, 2347-2355 (2004). MSC: 39A12 35A35 42C40 PDF BibTeX XML Cite \textit{C. Cattani} and \textit{L. M. Sánchez Ruiz}, Int. J. Math. Math. Sci. 2004, No. 41--44, 2347--2355 (2004; Zbl 1075.39008) Full Text: DOI EuDML OpenURL
Kozyrev, S. V. Wavelet theory as \(p\)-adic spectral analysis. (English. Russian original) Zbl 1016.42025 Izv. Math. 66, No. 2, 367-376 (2002); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 66, No. 2, 149-158 (2002). MSC: 42C40 46S10 PDF BibTeX XML Cite \textit{S. V. Kozyrev}, Izv. Math. 66, No. 2, 367--376 (2002; Zbl 1016.42025); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 66, No. 2, 149--158 (2002) Full Text: DOI arXiv OpenURL
Poulsen, Thomas A. Topology optimization in wavelet space. (English) Zbl 1112.74464 Int. J. Numer. Methods Eng. 53, No. 3, 567-582 (2002). MSC: 74P15 74S25 65T60 PDF BibTeX XML Cite \textit{T. A. Poulsen}, Int. J. Numer. Methods Eng. 53, No. 3, 567--582 (2002; Zbl 1112.74464) Full Text: DOI OpenURL
Walnut, David F. An introduction to wavelet analysis. (English) Zbl 0989.42014 Basel: Birkhäuser. xvii, 449 p. (2002). Reviewer: Ole Christensen (Lyngby) MSC: 42C40 42-01 PDF BibTeX XML Cite \textit{D. F. Walnut}, An introduction to wavelet analysis. Basel: Birkhäuser (2002; Zbl 0989.42014) OpenURL
Malozemov, V. N.; Masharskij, S. M. Haar spectra of discrete convolutions. (English. Russian original) Zbl 0996.94003 Comput. Math. Math. Phys. 40, No. 6, 914-921 (2000); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 6, 954-960 (2000). Reviewer: Alexey Tret’yakov (Siedlce) MSC: 94A12 65T60 94A11 PDF BibTeX XML Cite \textit{V. N. Malozemov} and \textit{S. M. Masharskij}, Comput. Math. Math. Phys. 40, No. 6, 914--921 (2000; Zbl 0996.94003); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 6, 954--960 (2000) OpenURL
Zhechev, Bozhan Z. Invariant spaces and fast transforms. (English) Zbl 0984.94011 IEEE Trans. Circuits Syst., II, Analog Digit. Signal Process. 46, No. 2, 216-219 (1999). MSC: 94A12 65T40 20G05 65T50 65T60 PDF BibTeX XML Cite \textit{B. Z. Zhechev}, IEEE Trans. Circuits Syst., II, Analog Digit. Signal Process. 46, No. 2, 216--219 (1999; Zbl 0984.94011) Full Text: DOI OpenURL
Flaherty, Tim; Wang, Yang Haar-type multiwavelet bases and self-affine multi-tiles. (English) Zbl 0967.42025 Asian J. Math. 3, No. 2, 387-400 (1999). MSC: 42C40 PDF BibTeX XML Cite \textit{T. Flaherty} and \textit{Y. Wang}, Asian J. Math. 3, No. 2, 387--400 (1999; Zbl 0967.42025) Full Text: DOI OpenURL
Müller, Stefan Rank-one convexity implies quasiconvexity on diagonal matrices. (English) Zbl 1055.49506 Int. Math. Res. Not. 1999, No. 20, 1087-1095 (1999). Reviewer: John M. Ball (MR 2001f:49030) MSC: 49J45 49J10 42C40 PDF BibTeX XML Cite \textit{S. Müller}, Int. Math. Res. Not. 1999, No. 20, 1087--1095 (1999; Zbl 1055.49506) Full Text: DOI OpenURL
Lagarias, Jeffrey C.; Wang, Yang Corrigendum/Addendum: Haar bases for \(L^2 (\mathbb{R}^n)\) and algebraic number theory. (English) Zbl 1007.11066 J. Number Theory 76, No. 2, 330-336 (1999). MSC: 11R29 42C40 42C15 11H06 PDF BibTeX XML Cite \textit{J. C. Lagarias} and \textit{Y. Wang}, J. Number Theory 76, No. 2, 330--336 (1999; Zbl 1007.11066) Full Text: DOI OpenURL
Andrianov, Alexander V.; Temlyakov, Vladimir N. Best \(m\)-term approximation of functions from classes \(MW_{q,\alpha}^r\). (English) Zbl 0938.41014 Chui, Charles K. (ed.) et al., Approximation theory IX. Volume 1. Theoretical aspects. Proceedings of the 9th international conference, Nashville, TN, USA, January 3-6, 1998. Nashville, TN: Vanderbilt University Press. Innovations in Applied Mathematics. 7-14 (1998). Reviewer: A.L.Brown (Chandigarh) MSC: 41A46 41A25 PDF BibTeX XML Cite \textit{A. V. Andrianov} and \textit{V. N. Temlyakov}, in: Approximation theory IX. Volume 1. Theoretical aspects. Proceedings of the 9th international conference, Nashville, TN, USA, January 3--6, 1998. Nashville, TN: Vanderbilt University Press. 7--14 (1998; Zbl 0938.41014) OpenURL
Gevorkian, Gegham G.; Wolnik, Barbara Square functions for wavelet type systems. (English) Zbl 0915.47026 Bull. Pol. Acad. Sci., Math. 46, No. 2, 155-172 (1998). MSC: 47B38 42C40 46E30 46B15 PDF BibTeX XML Cite \textit{G. G. Gevorkian} and \textit{B. Wolnik}, Bull. Pol. Acad. Sci., Math. 46, No. 2, 155--172 (1998; Zbl 0915.47026) OpenURL
Govil, N. K.; Zalik, R. A. Perturbations of the Haar wavelet. (English) Zbl 0887.42022 Proc. Am. Math. Soc. 125, No. 11, 3363-3370 (1997). MSC: 42C40 41A05 46C99 PDF BibTeX XML Cite \textit{N. K. Govil} and \textit{R. A. Zalik}, Proc. Am. Math. Soc. 125, No. 11, 3363--3370 (1997; Zbl 0887.42022) Full Text: DOI OpenURL
Kerkyacharian, Gérard; Picard, Dominique Estimating nonquadratic functionals of a density using Haar wavelets. (English) Zbl 0860.62033 Ann. Stat. 24, No. 2, 485-507 (1996). MSC: 62G07 62G20 42C40 PDF BibTeX XML Cite \textit{G. Kerkyacharian} and \textit{D. Picard}, Ann. Stat. 24, No. 2, 485--507 (1996; Zbl 0860.62033) Full Text: DOI OpenURL
Jaffard, Stéphane; Mandelbrot, Benoît B. Local regularity of nonsmooth wavelet expansions and application to the Polya function. (English) Zbl 0916.42024 Adv. Math. 120, No. 2, 265-282 (1996). MSC: 42C40 28A80 PDF BibTeX XML Cite \textit{S. Jaffard} and \textit{B. B. Mandelbrot}, Adv. Math. 120, No. 2, 265--282 (1996; Zbl 0916.42024) Full Text: DOI OpenURL
Lagarias, Jeffrey C.; Wang, Yang Haar type orthonormal wavelet bases in \(R^2\). (English) Zbl 0908.42022 J. Fourier Anal. Appl. 2, No. 1, 1-14 (1995). MSC: 42C40 52C22 PDF BibTeX XML Cite \textit{J. C. Lagarias} and \textit{Y. Wang}, J. Fourier Anal. Appl. 2, No. 1, 1--14 (1995; Zbl 0908.42022) Full Text: DOI EuDML OpenURL
Antoine, J. P.; Bagarello, F. Wavelet-like orthonormal bases for the lowest Landau level. (English) Zbl 0867.42018 J. Phys. A, Math. Gen. 27, No. 7, 2471-2481 (1994). MSC: 42C40 82D05 PDF BibTeX XML Cite \textit{J. P. Antoine} and \textit{F. Bagarello}, J. Phys. A, Math. Gen. 27, No. 7, 2471--2481 (1994; Zbl 0867.42018) Full Text: DOI Link OpenURL
Liu, Jun A sensitivity analysis for least-squares ill-posed problems using the Haar basis. (English) Zbl 0807.35163 SIAM J. Numer. Anal. 31, No. 5, 1486-1496 (1994). MSC: 35R30 65K10 93B35 90C52 PDF BibTeX XML Cite \textit{J. Liu}, SIAM J. Numer. Anal. 31, No. 5, 1486--1496 (1994; Zbl 0807.35163) Full Text: DOI OpenURL
Kaplan, Lance M.; Kuo, C.-C. Jay Fractal estimation from noisy data via discrete fractional Gaussian noise (DFGN) and the Haar basis. (English) Zbl 0841.94012 IEEE Trans. Signal Process. 41, No. 12, 3554-3562 (1993). MSC: 94A12 60J65 42C15 PDF BibTeX XML Cite \textit{L. M. Kaplan} and \textit{C. C. J. Kuo}, IEEE Trans. Signal Process. 41, No. 12, 3554--3562 (1993; Zbl 0841.94012) Full Text: DOI Link OpenURL
Daubechies, Ingrid Ten lectures on wavelets. (English) Zbl 0776.42018 CBMS-NSF Regional Conference Series in Applied Mathematics. 61. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. xix, 357 p. (1992). Reviewer: A.G.Ramm (Manhatten) MSC: 42C40 42-02 46E35 PDF BibTeX XML Cite \textit{I. Daubechies}, Ten lectures on wavelets. Philadelphia, PA: SIAM (1992; Zbl 0776.42018) Full Text: DOI OpenURL
David, Guy Wavelets and singular integrals on curves and surfaces. (English) Zbl 0764.42019 Lecture Notes in Mathematics. 1465. Berlin etc.: Springer-Verlag. x, 109 p. (1992). Reviewer: K.Gröchenig (Stoors) MSC: 42C40 42B20 42-02 42B25 PDF BibTeX XML Cite \textit{G. David}, Wavelets and singular integrals on curves and surfaces. Berlin etc.: Springer-Verlag (1992; Zbl 0764.42019) Full Text: DOI OpenURL
Colella, David; Heil, Christopher The characterization of continuous, four-coefficient scaling functions and wavelets. (English) Zbl 0743.42012 IEEE Trans. Inf. Theory 38, No. 2, Part II, 876-881 (1992). MSC: 42C40 PDF BibTeX XML Cite \textit{D. Colella} and \textit{C. Heil}, IEEE Trans. Inf. Theory 38, No. 2, Part II, 876--881 (1992; Zbl 0743.42012) Full Text: DOI OpenURL
Gröchenig, K.; Madych, W. R. Multiresolution analysis, Haar bases, and self-similar tilings of \(R^ n\). (English) Zbl 0742.42012 IEEE Trans. Inf. Theory 38, No. 2, Part II, 556-568 (1992). MSC: 42C15 28A80 PDF BibTeX XML Cite \textit{K. Gröchenig} and \textit{W. R. Madych}, IEEE Trans. Inf. Theory 38, No. 2, Part II, 556--568 (1992; Zbl 0742.42012) Full Text: DOI 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
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