Bailey, B. A.; Madych, W. R. Convergence and summability of cardinal sine series. (English) Zbl 1423.30020 Jaen J. Approx. 10, No. 1-2, 49-72 (2018). MSC: 30D10 40A30 41A30 94A20 PDFBibTeX XMLCite \textit{B. A. Bailey} and \textit{W. R. Madych}, Jaen J. Approx. 10, No. 1--2, 49--72 (2018; Zbl 1423.30020) Full Text: Link
Bailey, B. A.; Madych, W. R. Classical sampling series of band limited functions: oversampling and non-existence. (English) Zbl 1417.94029 Sampl. Theory Signal Image Process. 15, 131-138 (2016). Reviewer: Olga M. Katkova (Boston) MSC: 94A20 40A30 30D10 PDFBibTeX XMLCite \textit{B. A. Bailey} and \textit{W. R. Madych}, Sampl. Theory Signal Image Process. 15, 131--138 (2016; Zbl 1417.94029) Full Text: Link
Bailey, B. A.; Madych, W. R. Cardinal sine series, oversampling, and periodic distributions. (English) Zbl 1329.30014 Proc. Am. Math. Soc. 143, No. 10, 4373-4382 (2015). Reviewer: Olga M. Katkova (Boston) MSC: 30D10 40A30 94A20 42A16 PDFBibTeX XMLCite \textit{B. A. Bailey} and \textit{W. R. Madych}, Proc. Am. Math. Soc. 143, No. 10, 4373--4382 (2015; Zbl 1329.30014) Full Text: DOI
Bailey, B. A.; Madych, W. R. Cardinal sine series: convergence and uniqueness. (English) Zbl 1346.94071 Sampl. Theory Signal Image Process. 13, No. 1, 21-33 (2014). MSC: 94A20 40A30 41A05 30B99 PDFBibTeX XMLCite \textit{B. A. Bailey} and \textit{W. R. Madych}, Sampl. Theory Signal Image Process. 13, No. 1, 21--33 (2014; Zbl 1346.94071) Full Text: Link
Giné, Evarist; Madych, W. R. On wavelet projection kernels and the integrated squared error in density estimation. (English) Zbl 1288.62057 Stat. Probab. Lett. 91, 32-40 (2014). MSC: 62G07 60F05 60F15 PDFBibTeX XMLCite \textit{E. Giné} and \textit{W. R. Madych}, Stat. Probab. Lett. 91, 32--40 (2014; Zbl 1288.62057) Full Text: DOI
Bailey, B. A.; Madych, W. R. Functions of exponential type and the cardinal series. (English) Zbl 1293.30063 J. Approx. Theory 181, 54-72 (2014). MSC: 30D20 PDFBibTeX XMLCite \textit{B. A. Bailey} and \textit{W. R. Madych}, J. Approx. Theory 181, 54--72 (2014; Zbl 1293.30063) Full Text: DOI
Bailey, B. A.; Madych, W. R. Convergence of classical cardinal series and band limited special functions. (English) Zbl 1315.40001 J. Fourier Anal. Appl. 19, No. 6, 1207-1228 (2013). Reviewer: Szymon Glab (Łódź) MSC: 40A30 41A05 30B99 94A20 PDFBibTeX XMLCite \textit{B. A. Bailey} and \textit{W. R. Madych}, J. Fourier Anal. Appl. 19, No. 6, 1207--1228 (2013; Zbl 1315.40001) Full Text: DOI
Ansorg, Marcus; Filbir, Frank; Madych, W. R.; Seyfried, Ruben Summability kernels for circular and spherical mean data. (English) Zbl 1269.44001 Inverse Probl. 29, No. 1, Article ID 015002, 13 p. (2013). Reviewer: Deshna Loonker (Jodhpur) MSC: 44A12 PDFBibTeX XMLCite \textit{M. Ansorg} et al., Inverse Probl. 29, No. 1, Article ID 015002, 13 p. (2013; Zbl 1269.44001) Full Text: DOI
Hangelbroek, T.; Madych, W.; Narcowich, F.; Ward, J. D. Cardinal interpolation with Gaussian kernels. (English) Zbl 1247.41004 J. Fourier Anal. Appl. 18, No. 1, 67-86 (2012). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 41A25 41A63 42B15 PDFBibTeX XMLCite \textit{T. Hangelbroek} et al., J. Fourier Anal. Appl. 18, No. 1, 67--86 (2012; Zbl 1247.41004) Full Text: DOI arXiv
Giné, E.; Güntürk, C. S.; Madych, W. R. On the periodized square of \(L^2\) cardinal splines. (English) Zbl 1262.41007 Exp. Math. 20, No. 2, 177-188 (2011). MSC: 41A15 62G07 PDFBibTeX XMLCite \textit{E. Giné} et al., Exp. Math. 20, No. 2, 177--188 (2011; Zbl 1262.41007) Full Text: DOI Euclid
Filbir, Frank; Hielscher, Ralf; Madych, W. R. Reconstruction from circular and spherical mean data. (English) Zbl 1192.68767 Appl. Comput. Harmon. Anal. 29, No. 1, 111-120 (2010). MSC: 68U10 PDFBibTeX XMLCite \textit{F. Filbir} et al., Appl. Comput. Harmon. Anal. 29, No. 1, 111--120 (2010; Zbl 1192.68767) Full Text: DOI
Lyubarskii, Yu.; Madych, W. R. Irregular Poisson type summation. (English) Zbl 1182.42010 Sampl. Theory Signal Image Process. 7, No. 2, 173-186 (2008). MSC: 42A75 41A05 PDFBibTeX XMLCite \textit{Yu. Lyubarskii} and \textit{W. R. Madych}, Sampl. Theory Signal Image Process. 7, No. 2, 173--186 (2008; Zbl 1182.42010) Full Text: Link
Kassmann, Moritz; Madych, W. R. Difference quotients and elliptic mixed boundary problems of second order. (English) Zbl 1213.35201 Indiana Univ. Math. J. 56, No. 3, 1047-1082 (2007). MSC: 35J25 35J60 35B65 PDFBibTeX XMLCite \textit{M. Kassmann} and \textit{W. R. Madych}, Indiana Univ. Math. J. 56, No. 3, 1047--1082 (2007; Zbl 1213.35201) Full Text: DOI
Kaiblinger, N.; Madych, W. R. Orthonormal sampling functions. (English) Zbl 1106.42022 Appl. Comput. Harmon. Anal. 21, No. 3, 404-412 (2006). MSC: 42C15 42C40 94A20 PDFBibTeX XMLCite \textit{N. Kaiblinger} and \textit{W. R. Madych}, Appl. Comput. Harmon. Anal. 21, No. 3, 404--412 (2006; Zbl 1106.42022) Full Text: DOI
Lyubarskii, Yu.; Madych, W. R. Interpolation of functions from generalized Paley–Wiener spaces. (English) Zbl 1085.30023 J. Approximation Theory 133, No. 2, 251-268 (2005). Reviewer: Vladimir V. Peller (East Lansing) MSC: 30D15 46E15 PDFBibTeX XMLCite \textit{Yu. Lyubarskii} and \textit{W. R. Madych}, J. Approx. Theory 133, No. 2, 251--268 (2005; Zbl 1085.30023) Full Text: DOI
Lorentz, R. A.; Madych, W. R. On the closure of the union of nested subspaces of \(L^2(\mathbb{R}^d)\). (English) Zbl 0936.42025 Chui, Charles K. (ed.) et al., Approximation theory IX. Volume 2. Computational aspects. Proceedings of the 9th international conference, Nashville, TN, USA, January 3-6, 1998. Nashville, TN: Vanderbilt University Press. Innovations in Applied Mathematics. 197-204 (1998). MSC: 42C40 46E30 PDFBibTeX XMLCite \textit{R. A. Lorentz} and \textit{W. R. Madych}, in: Approximation theory IX. Volume 2. Computational aspects. Proceedings of the 9th international conference, Nashville, TN, USA, January 3--6, 1998. Nashville, TN: Vanderbilt University Press. 197--204 (1998; Zbl 0936.42025)
Lorentz, R. A.; Madych, W. R.; Sahakian, A. Translation and dilation invariant subspaces of \(L^2(\mathbb{R})\) and multiresolution analyses. (English) Zbl 0926.42020 Appl. Comput. Harmon. Anal. 5, No. 4, 375-388 (1998). Reviewer: Khalifa Trimèche (Tunis) MSC: 42C40 PDFBibTeX XMLCite \textit{R. A. Lorentz} et al., Appl. Comput. Harmon. Anal. 5, No. 4, 375--388 (1998; Zbl 0926.42020) Full Text: DOI
Dlin, F.; Madych, W. R. Scaling functions and sequences associated with orthonormal wavelets. (English) Zbl 0833.42018 Houston J. Math. 21, No. 1, 129-148 (1995). Reviewer: B.Rubin (Jerusalem) MSC: 42C40 PDFBibTeX XMLCite \textit{F. Dlin} and \textit{W. R. Madych}, Houston J. Math. 21, No. 1, 129--148 (1995; Zbl 0833.42018)
Lyubarskii, Yu.; Madych, W. R. The recovery of irregularly sampled band limited functions via tempered splines. (English) Zbl 0873.41012 J. Funct. Anal. 125, No. 1, 201-222 (1994). Reviewer: B.D.Bojanov (Sofia) MSC: 41A15 41A05 65D07 PDFBibTeX XMLCite \textit{Yu. Lyubarskii} and \textit{W. R. Madych}, J. Funct. Anal. 125, No. 1, 201--222 (1994; Zbl 0873.41012) Full Text: DOI
Lorentz, R. A. H.; Madych, W. R. Wavelets and generalized box splines. (English) Zbl 0725.41009 Appl. Anal. 44, No. 1-2, 51-76 (1992). MSC: 41A15 41A05 42C05 41A63 PDFBibTeX XMLCite \textit{R. A. H. Lorentz} and \textit{W. R. Madych}, Appl. Anal. 44, No. 1--2, 51--76 (1992; Zbl 0725.41009) Full Text: DOI
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 PDFBibTeX XMLCite \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
Madych, W. R.; Solmon, D. C. A range theorem for the Radon transform. (English) Zbl 0658.44003 Proc. Am. Math. Soc. 104, No. 1, 79-85 (1988). Reviewer: A.K.Louis MSC: 44A15 26B40 PDFBibTeX XMLCite \textit{W. R. Madych} and \textit{D. C. Solmon}, Proc. Am. Math. Soc. 104, No. 1, 79--85 (1988; Zbl 0658.44003) Full Text: DOI
Madych, W. R.; Potter, E. H. An estimate for multivariate interpolation. (English) Zbl 0558.41008 J. Approximation Theory 43, 132-139 (1985). MSC: 41A05 41A17 41A63 PDFBibTeX XMLCite \textit{W. R. Madych} and \textit{E. H. Potter}, J. Approx. Theory 43, 132--139 (1985; Zbl 0558.41008) Full Text: DOI
Jordan, G. S.; Madych, W. R.; Wheeler, R. L. Linear convolution integral equations with asymptotically almost periodic solutions. (English) Zbl 0445.45005 Proc. Am. Math. Soc. 78, 337-341 (1980). MSC: 45E10 45M05 42A75 46F10 PDFBibTeX XMLCite \textit{G. S. Jordan} et al., Proc. Am. Math. Soc. 78, 337--341 (1980; Zbl 0445.45005) Full Text: DOI
Fink, A. M.; Madych, W. R. On certain bounded solutions of \(g^*\mu=f\). (English) Zbl 0431.45004 Proc. Am. Math. Soc. 75, 235-242 (1979). MSC: 45E10 45M05 PDFBibTeX XMLCite \textit{A. M. Fink} and \textit{W. R. Madych}, Proc. Am. Math. Soc. 75, 235--242 (1979; Zbl 0431.45004) Full Text: DOI
Madych, W. R.; Szeptycki, P. Nice sets of multi-indices. (English) Zbl 0385.26014 Proc. Am. Math. Soc. 69, 70-72 (1978). MSC: 26D15 42A45 PDFBibTeX XMLCite \textit{W. R. Madych} and \textit{P. Szeptycki}, Proc. Am. Math. Soc. 69, 70--72 (1978; Zbl 0385.26014) Full Text: DOI
Madych, W. R.; Larsen, R. D.; Crawford, E. F. Piecewise polynomial expansions. (English) Zbl 0379.42005 IEEE Trans. Acoust. Speech Signal Process. 25, 579-581 (1977). MSC: 42C05 41A30 PDFBibTeX XMLCite \textit{W. R. Madych} et al., IEEE Trans. Acoust. Speech Signal Process. 25, 579--581 (1977; Zbl 0379.42005) Full Text: DOI
Larsen, R. D.; Madych, W. R.; Crawford, E. F. Piecewise constant and piecewise linear expansions. (English) Zbl 0372.42010 Comput. Chem. 1, 267-271 (1977). MSC: 42C05 PDFBibTeX XMLCite \textit{R. D. Larsen} et al., Comput. Chem. 1, 267--271 (1977; Zbl 0372.42010) Full Text: DOI
Madych, W. R.; Riviere, N. M. Multipliers of the Hölder classes. (English) Zbl 0338.46035 J. Funct. Anal. 21, 369-379 (1976). MSC: 46F05 46F10 43A22 PDFBibTeX XMLCite \textit{W. R. Madych} and \textit{N. M. Riviere}, J. Funct. Anal. 21, 369--379 (1976; Zbl 0338.46035) Full Text: DOI
Allen, G. D.; Chui, C. K.; Madych, W. R.; Narcowich, F. J.; Smith, P. W. Padé approximation of Stieltjes series. (English) Zbl 0323.30044 J. Approximation Theory 14, 302-316 (1975). MSC: 30E10 30E05 30B70 PDFBibTeX XMLCite \textit{G. D. Allen} et al., J. Approx. Theory 14, 302--316 (1975; Zbl 0323.30044) Full Text: DOI
Allen, G. D.; Chui, C. K.; Madych, W. R.; Narcowich, F. J.; Smith, P. W. Padé approximation and Gaussian quadrature. (English) Zbl 0281.41008 Bull. Aust. Math. Soc. 11, 63-69 (1974). MSC: 41A55 41A20 41A30 PDFBibTeX XMLCite \textit{G. D. Allen} et al., Bull. Aust. Math. Soc. 11, 63--69 (1974; Zbl 0281.41008) Full Text: DOI
Allen, G. D.; Chui, C. K.; Madych, W. R.; Narcowich, F. J.; Smith, P. W. Padé approximation and orthogonal polynomials. (English) Zbl 0279.41014 Bull. Aust. Math. Soc. 10, 263-270 (1974). MSC: 41A20 41A30 30E10 PDFBibTeX XMLCite \textit{G. D. Allen} et al., Bull. Aust. Math. Soc. 10, 263--270 (1974; Zbl 0279.41014) Full Text: DOI