Dubon, E.; San Antolín, A. On approximation properties of matrix-valued multi-resolution analyses. (English) Zbl 1531.41015 Linear Multilinear Algebra 71, No. 14, 2263-2281 (2023). Reviewer: Richard A. Zalik (Auburn) MSC: 41A25 42C40 41A30 41A63 42A38 × Cite Format Result Cite Review PDF Full Text: DOI
Kosz, Dariusz; Martínez-Perales, Javier C.; Paternostro, Victoria; Rela, Ezequiel; Roncal, Luz Maximal operators on the infinite-dimensional torus. (English) Zbl 1520.43004 Math. Ann. 385, No. 3-4, 1-39 (2023). Reviewer: Oscar Blasco (València) MSC: 43A70 42B25 20E07 42B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
San Antolín, A. Density order of Parseval wavelet frames from extension principles. (English) Zbl 1481.42041 J. Approx. Theory 270, Article ID 105617, 14 p. (2021). Reviewer: Hans-Georg Stark (Aschaffenburg) MSC: 42C15 42C40 41A45 41A25 41A63 41A65 × Cite Format Result Cite Review PDF Full Text: DOI Link
Fernández, Emilio; Roncal, Luz A decomposition of Calderón-Zygmund type and some observations on differentiation of integrals on the infinite-dimensional torus. (English) Zbl 1443.43007 Potential Anal. 53, No. 4, 1449-1465 (2020). MSC: 43A70 42B05 22C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
San Antolín, A. On Parseval wavelet frames via multiresolution analyses in \(H_G^2\). (English) Zbl 1471.42077 Can. Math. Bull. 63, No. 1, 157-172 (2020). Reviewer: Azhar Y. Tantary (Srinagar) MSC: 42C40 42C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cifuentes, P.; San Antolín, Á.; Soto-Bajo, M. Anisotropic dilations of shift-invariant subspaces and approximation properties in \(L^2(\mathbb{R}^d)\). (English) Zbl 1314.41012 Math. Nachr. 288, No. 5-6, 525-539 (2015). MSC: 41A25 42C15 41A30 × Cite Format Result Cite Review PDF Full Text: DOI
Hiai, Fumio; Sano, Takashi Loewner matrices of matrix convex and monotone functions. (English) Zbl 1261.15026 J. Math. Soc. Japan 64, No. 2, 343-364 (2012). Reviewer: Fozi Dannan (Damascus) MSC: 15A45 47A63 42A82 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
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
Pramanik, Malabika; Łaba, Izabella Maximal operators and differentiation theorems for sparse sets. (English) Zbl 1242.42011 Duke Math. J. 158, No. 3, 347-411 (2011). Reviewer: Giorgi Oniani (Kutaisi) MSC: 42B25 26A24 26A99 28A78 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ayache, Antoine; Jaffard, Stéphane Hölder exponents of arbitrary functions. (English) Zbl 1203.26021 Rev. Mat. Iberoam. 26, No. 1, 77-89 (2010). Reviewer: Chengshu Wang (Denver) MSC: 26B35 42C40 65T60 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Stokolos, Alexander Zygmund’s program: some partial solutions. (English) Zbl 1080.42019 Ann. Inst. Fourier 55, No. 5, 1439-1453 (2005). MSC: 42B25 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
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
Ki, Haseo On the Denjoy rank, the Kechris-Woodin rank and the Zalcwasser rank. (English) Zbl 0871.04002 Trans. Am. Math. Soc. 349, No. 7, 2845-2870 (1997). MSC: 03E15 26A21 42A20 × Cite Format Result Cite Review PDF Full Text: DOI
Ki, Haseo The Kechris-Woodin rank is finer than the Zalcwasser rank. (English) Zbl 0845.04004 Trans. Am. Math. Soc. 347, No. 11, 4471-4484 (1995). Reviewer: H.Ki (Seoul) MSC: 03E15 26A21 42A20 × Cite Format Result Cite Review PDF Full Text: DOI
Ramsamujh, T. I. Three ordinal ranks for the set of differentiable functions. (English) Zbl 0741.26006 J. Math. Anal. Appl. 158, No. 2, 539-555 (1991). Reviewer: M.K.Nayak (Elmhurst) MSC: 26A42 42A20 × Cite Format Result Cite Review PDF Full Text: DOI
Brown, J. B.; Humke, P.; Laczkovich, M. Measurable Darboux functions. (English) Zbl 0651.26005 Proc. Am. Math. Soc. 102, No. 3, 603-610 (1988). Reviewer: D.W.Boyd MSC: 26A21 26A15 28A20 54C05 30A10 30B20 30C10 42A10 × Cite Format Result Cite Review PDF Full Text: DOI
Mauldin, R. Daniel; Williams, S. C. On the Hausdorff dimension of some graphs. (English) Zbl 0603.28003 Trans. Am. Math. Soc. 298, 793-803 (1986). MSC: 28A75 42A32 26A27 × Cite Format Result Cite Review PDF Full Text: DOI