Acar, Tuncer; Draganov, Borislav R. A characterization of the rate of the simultaneous approximation by generalized sampling operators and their Kantorovich modification. (English) Zbl 1526.41005 J. Math. Anal. Appl. 530, No. 2, Article ID 127740, 25 p. (2024). MSC: 41A28 41A35 41A40 94A20 PDFBibTeX XMLCite \textit{T. Acar} and \textit{B. R. Draganov}, J. Math. Anal. Appl. 530, No. 2, Article ID 127740, 25 p. (2024; Zbl 1526.41005) Full Text: DOI
Krishna, K. Mahesh; Johnson, P. Sam Operator-valued \(p\)-approximate Schauder frames. (English) Zbl 07779494 J. Ramanujan Math. Soc. 38, No. 4, 369-392 (2023). MSC: 47L05 42C15 46B25 PDFBibTeX XMLCite \textit{K. M. Krishna} and \textit{P. S. Johnson}, J. Ramanujan Math. Soc. 38, No. 4, 369--392 (2023; Zbl 07779494) Full Text: arXiv Link
Gordon, Dan Conjugate gradients acceleration of coordinate descent for linear systems. (English) Zbl 07730749 J. Sci. Comput. 96, No. 3, Paper No. 86, 10 p. (2023). MSC: 65B99 65F10 65F20 PDFBibTeX XMLCite \textit{D. Gordon}, J. Sci. Comput. 96, No. 3, Paper No. 86, 10 p. (2023; Zbl 07730749) Full Text: DOI
Perrin, Guy An exact solution to the Fourier transform of band-limited periodic functions with nonequispaced data and application to non-periodic functions. (English) Zbl 07640563 J. Comput. Phys. 474, Article ID 111806, 12 p. (2023). MSC: 94Axx 65Txx 65Fxx PDFBibTeX XMLCite \textit{G. Perrin}, J. Comput. Phys. 474, Article ID 111806, 12 p. (2023; Zbl 07640563) Full Text: DOI
Devaraj, P.; Garg, Ankush Kumar Average sampling expansions from regular and irregular samples over shift-invariant subspaces on LCA groups. (English) Zbl 1508.94051 Banach J. Math. Anal. 17, No. 1, Paper No. 15, 25 p. (2023). Reviewer: Joseph Lakey (Las Cruces) MSC: 94A20 42C15 PDFBibTeX XMLCite \textit{P. Devaraj} and \textit{A. K. Garg}, Banach J. Math. Anal. 17, No. 1, Paper No. 15, 25 p. (2023; Zbl 1508.94051) Full Text: DOI
Xiang, Zhong-Qi; Lin, Chun-Xia; Chen, Yu-Xian Some notes on weaving frames in Hilbert spaces. (English) Zbl 1509.42044 Ann. Funct. Anal. 14, No. 1, Paper No. 18, 22 p. (2023). Reviewer: Patricia Mariela Morillas (San Luis) MSC: 42C15 47B40 41A45 47A58 PDFBibTeX XMLCite \textit{Z.-Q. Xiang} et al., Ann. Funct. Anal. 14, No. 1, Paper No. 18, 22 p. (2023; Zbl 1509.42044) Full Text: DOI
Alagoz, Osman; Turgay, Metin; Acar, Tuncer; Parlak, Merve Approximation by sampling Durrmeyer operators in weighted space of functions. (English) Zbl 1515.41012 Numer. Funct. Anal. Optim. 43, No. 10, 1223-1239 (2022). MSC: 41A35 41A25 PDFBibTeX XMLCite \textit{O. Alagoz} et al., Numer. Funct. Anal. Optim. 43, No. 10, 1223--1239 (2022; Zbl 1515.41012) Full Text: DOI
Acar, Tuncer; Alagöz, Osman; Aral, Ali; Costarelli, Danilo; Turgay, Metin; Vinti, Gianluca Convergence of generalized sampling series in weighted spaces. (English) Zbl 1509.41010 Demonstr. Math. 55, 153-162 (2022). MSC: 41A25 41A35 PDFBibTeX XMLCite \textit{T. Acar} et al., Demonstr. Math. 55, 153--162 (2022; Zbl 1509.41010) Full Text: DOI
Acar, Tuncer; Draganov, Borislav R. A strong converse inequality for generalized sampling operators. (English) Zbl 1504.41014 Ann. Funct. Anal. 13, No. 3, Paper No. 36, 16 p. (2022). Reviewer: Vijay Gupta (New Delhi) MSC: 41A17 41A27 PDFBibTeX XMLCite \textit{T. Acar} and \textit{B. R. Draganov}, Ann. Funct. Anal. 13, No. 3, Paper No. 36, 16 p. (2022; Zbl 1504.41014) Full Text: DOI
Ponnaian, Devaraj; Garg, Ankush Kumar; Shanmugam, Yugesh Average and convolution sampling over shift-invariant spaces. (English) Zbl 1482.94035 Complex Anal. Oper. Theory 16, No. 2, Paper No. 20, 16 p. (2022). MSC: 94A20 42C15 42C40 PDFBibTeX XMLCite \textit{D. Ponnaian} et al., Complex Anal. Oper. Theory 16, No. 2, Paper No. 20, 16 p. (2022; Zbl 1482.94035) Full Text: DOI
Lim, Lek-Heng Tensors in computations. (English) Zbl 1512.65079 Acta Numerica 30, 555-764 (2021). MSC: 65F99 15A69 65-02 PDFBibTeX XMLCite \textit{L.-H. Lim}, Acta Numerica 30, 555--764 (2021; Zbl 1512.65079) Full Text: DOI arXiv
Xiang, Zhong-Qi; Xiao, Xiang-Chun A note on operator perturbation of woven frames. (English) Zbl 1483.42021 Proc. Japan Acad., Ser. A 97, No. 10, 87-92 (2021). Reviewer: Devendra Kumar (Al-Baha) MSC: 42C15 42C40 65T60 PDFBibTeX XMLCite \textit{Z.-Q. Xiang} and \textit{X.-C. Xiao}, Proc. Japan Acad., Ser. A 97, No. 10, 87--92 (2021; Zbl 1483.42021) Full Text: DOI
Atreas, Nikolaos Sampling and approximation in shift invariant subspaces of \(L_2(\mathbb{R})\). (English) Zbl 1479.94086 Rassias, Michael Th. (ed.), Harmonic analysis and applications. Cham: Springer. Springer Optim. Appl. 168, 1-19 (2021). MSC: 94A20 94A12 42C40 42B10 PDFBibTeX XMLCite \textit{N. Atreas}, Springer Optim. Appl. 168, 1--19 (2021; Zbl 1479.94086) Full Text: DOI
Machado, J. A. Tenreiro The bouncing ball and the Grünwald-Letnikov definition of fractional derivative. (English) Zbl 1498.26014 Fract. Calc. Appl. Anal. 24, No. 4, 1003-1014 (2021). MSC: 26A33 PDFBibTeX XMLCite \textit{J. A. T. Machado}, Fract. Calc. Appl. Anal. 24, No. 4, 1003--1014 (2021; Zbl 1498.26014) Full Text: DOI
Xiang, Zhong-Qi Some new results of weaving \(K\)-frames in Hilbert spaces. (English) Zbl 1476.42021 Numer. Funct. Anal. Optim. 42, No. 4, 409-429 (2021). Reviewer: Ilya Krishtal (DeKalb) MSC: 42C15 42C40 65T60 47B40 PDFBibTeX XMLCite \textit{Z.-Q. Xiang}, Numer. Funct. Anal. Optim. 42, No. 4, 409--429 (2021; Zbl 1476.42021) Full Text: DOI
Xiang, Zhong-Qi Some new results on the construction and stability of \(K\)-g-frames in Hilbert spaces. (English) Zbl 1514.42039 Int. J. Wavelets Multiresolut. Inf. Process. 18, No. 5, Article ID 2050034, 19 p. (2020). Reviewer: Antonio Galbis (Valencia) MSC: 42C15 PDFBibTeX XMLCite \textit{Z.-Q. Xiang}, Int. J. Wavelets Multiresolut. Inf. Process. 18, No. 5, Article ID 2050034, 19 p. (2020; Zbl 1514.42039) Full Text: DOI
Kumar, Anuj; Sampath, Sivananthan Sampling and average sampling in quasi shift-invariant spaces. (English) Zbl 1458.94188 Numer. Funct. Anal. Optim. 41, No. 10, 1246-1271 (2020). MSC: 94A20 42C15 PDFBibTeX XMLCite \textit{A. Kumar} and \textit{S. Sampath}, Numer. Funct. Anal. Optim. 41, No. 10, 1246--1271 (2020; Zbl 1458.94188) Full Text: DOI
Acar, Tuncer; Costarelli, Danilo; Vinti, Gianluca Linear prediction and simultaneous approximation by \(m\)-th order Kantorovich type sampling series. (English) Zbl 1450.41005 Banach J. Math. Anal. 14, No. 4, 1481-1508 (2020). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 41A25 41A05 PDFBibTeX XMLCite \textit{T. Acar} et al., Banach J. Math. Anal. 14, No. 4, 1481--1508 (2020; Zbl 1450.41005) Full Text: DOI
Gröchenig, Karlheinz Sampling, Marcinkiewicz-Zygmund inequalities, approximation, and quadrature rules. (English) Zbl 1446.41005 J. Approx. Theory 257, Article ID 105455, 19 p. (2020). MSC: 41A17 42A10 65D30 PDFBibTeX XMLCite \textit{K. Gröchenig}, J. Approx. Theory 257, Article ID 105455, 19 p. (2020; Zbl 1446.41005) Full Text: DOI arXiv
Poria, Anirudha Positive weight function and classification of \(g\)-frames. (English) Zbl 1472.42049 Numer. Funct. Anal. Optim. 41, No. 8, 950-968 (2020). Reviewer: Yunzhang Li (Beijing) MSC: 42C15 43A80 PDFBibTeX XMLCite \textit{A. Poria}, Numer. Funct. Anal. Optim. 41, No. 8, 950--968 (2020; Zbl 1472.42049) Full Text: DOI arXiv
Mossaiby, Farshid; Shojaei, Arman; Boroomand, Bijan; Zaccariotto, Mirco; Galvanetto, Ugo Local Dirichlet-type absorbing boundary conditions for transient elastic wave propagation problems. (English) Zbl 1439.74147 Comput. Methods Appl. Mech. Eng. 362, Article ID 112856, 25 p. (2020). MSC: 74J05 74B05 PDFBibTeX XMLCite \textit{F. Mossaiby} et al., Comput. Methods Appl. Mech. Eng. 362, Article ID 112856, 25 p. (2020; Zbl 1439.74147) Full Text: DOI
Kumar, Anuj; Sampath, Sivananthan Average sampling and reconstruction in shift-invariant spaces and variable bandwidth spaces. (English) Zbl 1448.94125 Appl. Anal. 99, No. 4, 672-699 (2020). MSC: 94A20 42C15 PDFBibTeX XMLCite \textit{A. Kumar} and \textit{S. Sampath}, Appl. Anal. 99, No. 4, 672--699 (2020; Zbl 1448.94125) Full Text: DOI
Wang, Ya-Hui; Li, Yun-Zhang Tensor product dual frames. (English) Zbl 1499.42149 J. Inequal. Appl. 2019, Paper No. 76, 17 p. (2019). MSC: 42C15 46C05 42C40 15A69 PDFBibTeX XMLCite \textit{Y.-H. Wang} and \textit{Y.-Z. Li}, J. Inequal. Appl. 2019, Paper No. 76, 17 p. (2019; Zbl 1499.42149) Full Text: DOI
Shojaei, Arman; Mossaiby, Farshid; Zaccariotto, Mirco; Galvanetto, Ugo A local collocation method to construct Dirichlet-type absorbing boundary conditions for transient scalar wave propagation problems. (English) Zbl 1441.65080 Comput. Methods Appl. Mech. Eng. 356, 629-651 (2019). MSC: 65M70 PDFBibTeX XMLCite \textit{A. Shojaei} et al., Comput. Methods Appl. Mech. Eng. 356, 629--651 (2019; Zbl 1441.65080) Full Text: DOI
Xiang, Zhong-Qi Some properties of canonical dual \(K\)-Bessel sequences for Parseval \(K\)-frames. (English) Zbl 1473.42040 J. Funct. Spaces 2019, Article ID 9862369, 6 p. (2019). Reviewer: Sumit Kumar Sharma (Delhi) MSC: 42C15 PDFBibTeX XMLCite \textit{Z.-Q. Xiang}, J. Funct. Spaces 2019, Article ID 9862369, 6 p. (2019; Zbl 1473.42040) Full Text: DOI
Berger, Peter; Gröchenig, Karlheinz; Matz, Gerald Sampling and reconstruction in distinct subspaces using oblique projections. (English) Zbl 1474.94060 J. Fourier Anal. Appl. 25, No. 3, 1080-1112 (2019). MSC: 94A20 42C15 PDFBibTeX XMLCite \textit{P. Berger} et al., J. Fourier Anal. Appl. 25, No. 3, 1080--1112 (2019; Zbl 1474.94060) Full Text: DOI arXiv
Xiang, Zhong-Qi A new inequality for frames in Hilbert spaces. (English) Zbl 1410.46004 J. Funct. Spaces 2018, Article ID 2108580, 6 p. (2018). MSC: 46B15 42C15 PDFBibTeX XMLCite \textit{Z.-Q. Xiang}, J. Funct. Spaces 2018, Article ID 2108580, 6 p. (2018; Zbl 1410.46004) Full Text: DOI
Gordon, Dan A derandomization approach to recovering bandlimited signals across a wide range of random sampling rates. (English) Zbl 06860405 Numer. Algorithms 77, No. 4, 1141-1157 (2018). MSC: 65-XX PDFBibTeX XMLCite \textit{D. Gordon}, Numer. Algorithms 77, No. 4, 1141--1157 (2018; Zbl 06860405) Full Text: DOI
Radha, Ramakrishnan; Adhikari, Saswata A sampling theorem for the twisted shift-invariant space. (English) Zbl 1418.94022 Adv. Pure Appl. Math. 8, No. 4, 293-305 (2017). MSC: 94A20 42C15 42B99 PDFBibTeX XMLCite \textit{R. Radha} and \textit{S. Adhikari}, Adv. Pure Appl. Math. 8, No. 4, 293--305 (2017; Zbl 1418.94022) Full Text: DOI
Poria, Anirudha Some identities and inequalities for Hilbert-Schmidt frames. (English) Zbl 1404.42059 Mediterr. J. Math. 14, No. 2, Paper No. 59, 14 p. (2017). Reviewer: Deguang Han (Orlando) MSC: 42C15 94A12 PDFBibTeX XMLCite \textit{A. Poria}, Mediterr. J. Math. 14, No. 2, Paper No. 59, 14 p. (2017; Zbl 1404.42059) Full Text: DOI arXiv
Adcock, Ben; Gataric, Milana; Hansen, Anders C. Weighted frames of exponentials and stable recovery of multidimensional functions from nonuniform Fourier samples. (English) Zbl 1401.42030 Appl. Comput. Harmon. Anal. 42, No. 3, 508-535 (2017). Reviewer: Manfred Tasche (Rostock) MSC: 42C15 65T40 94A20 94A08 PDFBibTeX XMLCite \textit{B. Adcock} et al., Appl. Comput. Harmon. Anal. 42, No. 3, 508--535 (2017; Zbl 1401.42030) Full Text: DOI arXiv
Oswald, Peter; Zhou, Weiqi Random reordering in SOR-type methods. (English) Zbl 1365.65084 Numer. Math. 135, No. 4, 1207-1220 (2017); correction ibid. 154, No. 3-4, 521-525 (2023). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F10 65F20 PDFBibTeX XMLCite \textit{P. Oswald} and \textit{W. Zhou}, Numer. Math. 135, No. 4, 1207--1220 (2017; Zbl 1365.65084) Full Text: DOI arXiv
Devaraj, P.; Yugesh, S. A local weighted average sampling and reconstruction theorem over shift invariant subspaces. (English) Zbl 1407.94061 Result. Math. 71, No. 1-2, 319-332 (2017). MSC: 94A20 42C15 PDFBibTeX XMLCite \textit{P. Devaraj} and \textit{S. Yugesh}, Result. Math. 71, No. 1--2, 319--332 (2017; Zbl 1407.94061) Full Text: DOI
Ortigueira, Manuel D.; Torres, Delfim F. M.; Trujillo, Juan J. Exponentials and Laplace transforms on nonuniform time scales. (English) Zbl 1510.44002 Commun. Nonlinear Sci. Numer. Simul. 39, 252-270 (2016). MSC: 44A10 26E70 34A08 34N05 39A12 93C57 PDFBibTeX XMLCite \textit{M. D. Ortigueira} et al., Commun. Nonlinear Sci. Numer. Simul. 39, 252--270 (2016; Zbl 1510.44002) Full Text: DOI arXiv
Selvan, A. Antony; Radha, R. Separation of zeros, a Hermite interpolation based and a frame based reconstruction algorithms for bandlimited functions. (English) Zbl 1385.42030 Sampl. Theory Signal Image Process. 15, 21-35 (2016). MSC: 42C15 94A20 PDFBibTeX XMLCite \textit{A. A. Selvan} and \textit{R. Radha}, Sampl. Theory Signal Image Process. 15, 21--35 (2016; Zbl 1385.42030) Full Text: arXiv Link
Feichtinger, Hans G.; Führ, Hartmut; Pesenson, Isaac Z. Geometric space-frequency analysis on manifolds. (English) Zbl 1367.42014 J. Fourier Anal. Appl. 22, No. 6, 1294-1355 (2016). Reviewer: Dachun Yang (Beijing) MSC: 42C15 46E35 94A12 30L99 PDFBibTeX XMLCite \textit{H. G. Feichtinger} et al., J. Fourier Anal. Appl. 22, No. 6, 1294--1355 (2016; Zbl 1367.42014) Full Text: DOI arXiv
Strichartz, Robert S. Half sampling on bipartite graphs. (English) Zbl 1348.05129 J. Fourier Anal. Appl. 22, No. 5, 1157-1173 (2016). MSC: 05C50 05C63 39A12 42C99 PDFBibTeX XMLCite \textit{R. S. Strichartz}, J. Fourier Anal. Appl. 22, No. 5, 1157--1173 (2016; Zbl 1348.05129) Full Text: DOI
Li, Dongwei; Leng, Jinsong; Huang, Tingzhu; Xu, Yuxiang Some equalities and inequalities for probabilistic frames. (English) Zbl 1348.42039 J. Inequal. Appl. 2016, Paper No. 245, 11 p. (2016). MSC: 42C15 PDFBibTeX XMLCite \textit{D. Li} et al., J. Inequal. Appl. 2016, Paper No. 245, 11 p. (2016; Zbl 1348.42039) Full Text: DOI
Robinson, Michael A sheaf-theoretic perspective on sampling. (English) Zbl 1358.94051 Pfander, Götz E. (ed.), Sampling theory, a renaissance. Compressive sensing and other developments. Cham: Birkhäuser/Springer (ISBN 978-3-319-19748-7/hbk; 978-3-319-19749-4/ebook). Applied and Numerical Harmonic Analysis, 361-399 (2015). MSC: 94A20 55N30 PDFBibTeX XMLCite \textit{M. Robinson}, in: Sampling theory, a renaissance. Compressive sensing and other developments. Cham: Birkhäuser/Springer. 361--399 (2015; Zbl 1358.94051) Full Text: DOI arXiv
García, Antonio G. Sampling theory and reproducing kernel Hilbert spaces. (English) Zbl 1343.94029 Alpay, Daniel (ed.), Operator theory. With 51 figures and 2 tables. In 2 volumes. Basel: Springer (ISBN 978-3-0348-0666-4/print; 978-3-0348-0667-1/ebook; 978-3-0348-0668-8/print+ebook; 978-3-0348-0692-3/online (updated continuously)). Springer Reference, 87-110 (2015). MSC: 94A20 46E22 PDFBibTeX XMLCite \textit{A. G. García}, in: Operator theory. With 51 figures and 2 tables. In 2 volumes. Basel: Springer. 87--110 (2015; Zbl 1343.94029) Full Text: DOI
Kämmerer, Lutz; Potts, Daniel; Volkmer, Toni Approximation of multivariate periodic functions by trigonometric polynomials based on rank-1 lattice sampling. (English) Zbl 1320.65204 J. Complexity 31, No. 4, 543-576 (2015). MSC: 65T40 42C40 65T50 PDFBibTeX XMLCite \textit{L. Kämmerer} et al., J. Complexity 31, No. 4, 543--576 (2015; Zbl 1320.65204) Full Text: DOI
Ivanov, Kamen; Petrushev, Pencho Irregular sampling of band-limited functions on the sphere. (English) Zbl 1297.65022 Appl. Comput. Harmon. Anal. 37, No. 3, 545-562 (2014). MSC: 65D20 33C55 PDFBibTeX XMLCite \textit{K. Ivanov} and \textit{P. Petrushev}, Appl. Comput. Harmon. Anal. 37, No. 3, 545--562 (2014; Zbl 1297.65022) Full Text: DOI
Faÿ, Gilles; Kang, Sinuk Average sampling of band-limited stochastic processes. (English) Zbl 1357.60038 Appl. Comput. Harmon. Anal. 35, No. 3, 527-534 (2013). MSC: 60G10 62M15 94A12 94A20 PDFBibTeX XMLCite \textit{G. Faÿ} and \textit{S. Kang}, Appl. Comput. Harmon. Anal. 35, No. 3, 527--534 (2013; Zbl 1357.60038) Full Text: DOI arXiv
Pilipović, Stevan; Simić, Suzana Construction of frames for shift-invariant spaces. (English) Zbl 1278.46010 J. Funct. Spaces Appl. 2013, Article ID 163814, 7 p. (2013). MSC: 46B15 42C15 46E30 PDFBibTeX XMLCite \textit{S. Pilipović} and \textit{S. Simić}, J. Funct. Spaces Appl. 2013, Article ID 163814, 7 p. (2013; Zbl 1278.46010) Full Text: DOI arXiv
Acala, Nestor G.; Reyes, Noli N. Sampling in a weighted Sobolev space. (English. French summary) Zbl 1268.42051 C. R., Math., Acad. Sci. Paris 350, No. 21-22, 941-944 (2012). MSC: 42C15 94A20 PDFBibTeX XMLCite \textit{N. G. Acala} and \textit{N. N. Reyes}, C. R., Math., Acad. Sci. Paris 350, No. 21--22, 941--944 (2012; Zbl 1268.42051) Full Text: DOI
Pilipović, Stevan; Simić, Suzana Frames for weighted shift-invariant spaces. (English) Zbl 1253.42032 Mediterr. J. Math. 9, No. 4, 897-912 (2012); erratum ibid. 10, No. 1, 609-610 (2013). MSC: 42C15 42C40 42C99 46B15 46E35 46B20 PDFBibTeX XMLCite \textit{S. Pilipović} and \textit{S. Simić}, Mediterr. J. Math. 9, No. 4, 897--912 (2012; Zbl 1253.42032) Full Text: DOI arXiv
Feichtinger, Hans G.; Príncipe, José C.; Romero, José Luis; Singh Alvarado, Alexander; Velasco, Gino Angelo Approximate reconstruction of bandlimited functions for the integrate and fire sampler. (English) Zbl 1262.94011 Adv. Comput. Math. 36, No. 1, 67-78 (2012). MSC: 94A12 94A20 41A30 PDFBibTeX XMLCite \textit{H. G. Feichtinger} et al., Adv. Comput. Math. 36, No. 1, 67--78 (2012; Zbl 1262.94011) Full Text: DOI arXiv
Gosse, Laurent A Donoho-Stark criterion for stable signal recovery in discrete wavelet subspaces. (English) Zbl 1250.94020 J. Comput. Appl. Math. 235, No. 17, 5024-5039 (2011). MSC: 94A12 42C40 47A52 65R20 65T60 94A11 PDFBibTeX XMLCite \textit{L. Gosse}, J. Comput. Appl. Math. 235, No. 17, 5024--5039 (2011; Zbl 1250.94020) Full Text: DOI
Kouchi, Mehdi Rashidi; Nazari, Akbar Continuous \(g\)-frame in Hilbert \(C^{\ast}\)-modules. (English) Zbl 1227.46039 Abstr. Appl. Anal. 2011, Article ID 361595, 20 p. (2011). MSC: 46L08 42C15 PDFBibTeX XMLCite \textit{M. R. Kouchi} and \textit{A. Nazari}, Abstr. Appl. Anal. 2011, Article ID 361595, 20 p. (2011; Zbl 1227.46039) Full Text: DOI EuDML
Atreas, Nikolaos D. Perturbed sampling formulas and local reconstruction in shift invariant spaces. (English) Zbl 1213.42102 J. Math. Anal. Appl. 377, No. 2, 841-852 (2011). Reviewer: Joseph Lakey (Las Cruces) MSC: 42C15 94A20 PDFBibTeX XMLCite \textit{N. D. Atreas}, J. Math. Anal. Appl. 377, No. 2, 841--852 (2011; Zbl 1213.42102) Full Text: DOI
Kang, Sin Uk; Kwon, K. H. Generalized average sampling in shift invariant spaces. (English) Zbl 1218.94031 J. Math. Anal. Appl. 377, No. 1, 70-78 (2011). Reviewer: Wenchang Sun (Tianjin) MSC: 94A20 42C40 PDFBibTeX XMLCite \textit{S. U. Kang} and \textit{K. H. Kwon}, J. Math. Anal. Appl. 377, No. 1, 70--78 (2011; Zbl 1218.94031) Full Text: DOI
Boche, Holger; Mönich, Ullrich J. Convergence behavior of non-equidistant sampling series. (English) Zbl 1177.94113 Signal Process. 90, No. 1, 145-156 (2010). MSC: 94A20 PDFBibTeX XMLCite \textit{H. Boche} and \textit{U. J. Mönich}, Signal Process. 90, No. 1, 145--156 (2010; Zbl 1177.94113) Full Text: DOI
Sun, Wenchang Local sampling theorems for spaces generated by splines with arbitrary knots. (English) Zbl 1198.65259 Math. Comput. 78, No. 265, 225-239 (2009). MSC: 65T40 94A20 42A65 42C15 PDFBibTeX XMLCite \textit{W. Sun}, Math. Comput. 78, No. 265, 225--239 (2009; Zbl 1198.65259) Full Text: DOI
Strohmer, Thomas; Vershynin, Roman Comments on the randomized Kaczmarz method. (English) Zbl 1177.68253 J. Fourier Anal. Appl. 15, No. 4, 437-440 (2009). MSC: 68W20 65F10 PDFBibTeX XMLCite \textit{T. Strohmer} and \textit{R. Vershynin}, J. Fourier Anal. Appl. 15, No. 4, 437--440 (2009; Zbl 1177.68253) Full Text: DOI
Strohmer, Thomas; Vershynin, Roman A randomized Kaczmarz algorithm with exponential convergence. (English) Zbl 1169.68052 J. Fourier Anal. Appl. 15, No. 2, 262-278 (2009). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 68W20 65F10 PDFBibTeX XMLCite \textit{T. Strohmer} and \textit{R. Vershynin}, J. Fourier Anal. Appl. 15, No. 2, 262--278 (2009; Zbl 1169.68052) Full Text: DOI arXiv
Pesenson, Isaac; Zayed, Ahmed I. Paley-Wiener subspace of vectors in a Hilbert space with applications to integral transforms. (English) Zbl 1183.42033 J. Math. Anal. Appl. 353, No. 2, 566-582 (2009). Reviewer: Dohan Kim (Seoul) MSC: 42C15 34B24 44A20 PDFBibTeX XMLCite \textit{I. Pesenson} and \textit{A. I. Zayed}, J. Math. Anal. Appl. 353, No. 2, 566--582 (2009; Zbl 1183.42033) Full Text: DOI
Sun, Wenchang; Zhou, Xingwei Characterization of local sampling sequences for spline subspaces. (English) Zbl 1173.41006 Adv. Comput. Math. 30, No. 2, 153-175 (2009). Reviewer: Dan Bārbosu (Baia Mare) MSC: 41A15 PDFBibTeX XMLCite \textit{W. Sun} and \textit{X. Zhou}, Adv. Comput. Math. 30, No. 2, 153--175 (2009; Zbl 1173.41006) Full Text: DOI
Feichtinger, Hans G.; Molter, Ursula; Romero, José Luis Perturbation techniques in irregular spline-type spaces. (English) Zbl 1148.41007 Int. J. Wavelets Multiresolut. Inf. Process. 6, No. 2, 249-277 (2008). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 42C15 46A13 46A32 46E15 46E35 46N99 47B37 47L05 PDFBibTeX XMLCite \textit{H. G. Feichtinger} et al., Int. J. Wavelets Multiresolut. Inf. Process. 6, No. 2, 249--277 (2008; Zbl 1148.41007) Full Text: DOI
Feichtinger, Hans G.; Molter, Ursula; Romero, José Luis Perturbation techniques in irregular spline-types spaces. (English) Zbl 1348.42034 Int. J. Wavelets Multiresolut. Inf. Process. 6, No. 2, 249-277 (2008). MSC: 42C15 41A15 46A32 46E15 PDFBibTeX XMLCite \textit{H. G. Feichtinger} et al., Int. J. Wavelets Multiresolut. Inf. Process. 6, No. 2, 249--277 (2008; Zbl 1348.42034) Full Text: DOI
Schmeisser, Gerhard Reconstruction of polyharmonic functions from samples. (English) Zbl 1136.31002 J. Approximation Theory 148, No. 1, 49-70 (2007). Reviewer: Peter Lappan (East Lansing) MSC: 31A30 94A20 PDFBibTeX XMLCite \textit{G. Schmeisser}, J. Approx. Theory 148, No. 1, 49--70 (2007; Zbl 1136.31002) Full Text: DOI
Pesenson, Isaac Plancherel–Polya-type inequalities for entire functions of exponential type in \(L_{p}(\mathbb R^{d})\). (English) Zbl 1112.42017 J. Math. Anal. Appl. 330, No. 2, 1194-1206 (2007). Reviewer: Yasuo Komori (Numazu) MSC: 42C40 46E35 PDFBibTeX XMLCite \textit{I. Pesenson}, J. Math. Anal. Appl. 330, No. 2, 1194--1206 (2007; Zbl 1112.42017) Full Text: DOI
Shang, Zuofeng; Sun, Wenchang; Zhou, Xingwei Vector sampling expansions in shift invariant subspaces. (English) Zbl 1105.94004 J. Math. Anal. Appl. 325, No. 2, 898-919 (2007). MSC: 94A20 65D15 42C30 PDFBibTeX XMLCite \textit{Z. Shang} et al., J. Math. Anal. Appl. 325, No. 2, 898--919 (2007; Zbl 1105.94004) Full Text: DOI
Găvruţa, P. On some identities and inequalities for frames in Hilbert spaces. (English) Zbl 1119.42011 J. Math. Anal. Appl. 321, No. 1, 469-478 (2006). Reviewer: Gustaf Gripenberg (Hut) MSC: 42C15 46C99 PDFBibTeX XMLCite \textit{P. Găvruţa}, J. Math. Anal. Appl. 321, No. 1, 469--478 (2006; Zbl 1119.42011) Full Text: DOI
Li, Song-Hua; Lin, Wei Remarks on the Voronoi method in Paley-Wiener space. (English) Zbl 1092.94020 J. Math. Anal. Appl. 318, No. 1, 1-14 (2006). Reviewer: Bin Han (Edmonton) MSC: 94A20 41A30 42C40 PDFBibTeX XMLCite \textit{S.-H. Li} and \textit{W. Lin}, J. Math. Anal. Appl. 318, No. 1, 1--14 (2006; Zbl 1092.94020) Full Text: DOI
Pesenson, Isaac Band limited functions on quantum graphs. (English) Zbl 1115.94003 Proc. Am. Math. Soc. 133, No. 12, 3647-3655 (2005). Reviewer: Alain Bretto (Caen) MSC: 94A20 34B10 42C15 47E05 PDFBibTeX XMLCite \textit{I. Pesenson}, Proc. Am. Math. Soc. 133, No. 12, 3647--3655 (2005; Zbl 1115.94003) Full Text: DOI
Yang, Xu; Zhou, Xingwei An extension of the Chui–Shi frame condition to nonuniform affine operations. (English) Zbl 1043.42039 Appl. Comput. Harmon. Anal. 16, No. 2, 148-157 (2004). MSC: 42C40 PDFBibTeX XMLCite \textit{X. Yang} and \textit{X. Zhou}, Appl. Comput. Harmon. Anal. 16, No. 2, 148--157 (2004; Zbl 1043.42039) Full Text: DOI
Pesenson, Isaac Poincaré-type inequalities and reconstruction of Paley-Wiener functions on manifolds. (English) Zbl 1080.42024 J. Geom. Anal. 14, No. 1, 101-121 (2004). MSC: 42C05 41A17 43A85 PDFBibTeX XMLCite \textit{I. Pesenson}, J. Geom. Anal. 14, No. 1, 101--121 (2004; Zbl 1080.42024) Full Text: DOI
Sun, Wenchang; Zhou, Xingwei Average sampling in shift invariant subspaces with symmetric averaging functions. (English) Zbl 1029.94009 J. Math. Anal. Appl. 287, No. 1, 279-295 (2003). MSC: 94C10 40A30 41A30 42A38 PDFBibTeX XMLCite \textit{W. Sun} and \textit{X. Zhou}, J. Math. Anal. Appl. 287, No. 1, 279--295 (2003; Zbl 1029.94009) Full Text: DOI
Sun, Wenchang; Zhou, Xingwei Reconstruction of functions in spline subspaces from local averages. (English) Zbl 1026.94004 Proc. Am. Math. Soc. 131, No. 8, 2561-2571 (2003). Reviewer: Richard A.Zalik (Auburn University) MSC: 94C10 41A15 42C40 PDFBibTeX XMLCite \textit{W. Sun} and \textit{X. Zhou}, Proc. Am. Math. Soc. 131, No. 8, 2561--2571 (2003; Zbl 1026.94004) Full Text: DOI
Sun, Wenchang; Zhou, Xingwei Average sampling in spline subspaces. (English) Zbl 0998.94518 Appl. Math. Lett. 15, No. 2, 233-237 (2002). MSC: 94C10 41A15 94A12 PDFBibTeX XMLCite \textit{W. Sun} and \textit{X. Zhou}, Appl. Math. Lett. 15, No. 2, 233--237 (2002; Zbl 0998.94518) Full Text: DOI
Strohmer, Thomas Numerical analysis of non-uniform sampling problem. (English) Zbl 0967.65119 J. Comput. Appl. Math. 122, No. 1-2, 297-316 (2000). Reviewer: Manfred Tasche (Rostock) MSC: 65T40 65F22 94A12 PDFBibTeX XMLCite \textit{T. Strohmer}, J. Comput. Appl. Math. 122, No. 1--2, 297--316 (2000; Zbl 0967.65119) Full Text: DOI arXiv
Aldroubi, Akram; Gröchenig, Karlheinz Beurling-Landau-type theorems for non-uniform sampling in shift invariant spline spaces. (English) Zbl 0964.42020 J. Fourier Anal. Appl. 6, No. 1, 93-103 (2000). Reviewer: Adhemar Bultheel (Leuven) MSC: 42C40 46E22 42C30 PDFBibTeX XMLCite \textit{A. Aldroubi} and \textit{K. Gröchenig}, J. Fourier Anal. Appl. 6, No. 1, 93--103 (2000; Zbl 0964.42020) Full Text: DOI EuDML
Flornes, Kristin M.; Lyubarskii, Yurii; Seip, Kristian A direct interpolation method for irregular sampling. (English) Zbl 0957.42024 Appl. Comput. Harmon. Anal. 7, No. 3, 305-314 (1999). Reviewer: Radu Balan (Princeton) MSC: 42C40 41A05 42A15 94C10 94A12 PDFBibTeX XMLCite \textit{K. M. Flornes} et al., Appl. Comput. Harmon. Anal. 7, No. 3, 305--314 (1999; Zbl 0957.42024)
Gröchenig, Karlheinz Irregular sampling, Toeplitz matrices, and the approximation of entire functions of exponential type. (English) Zbl 1043.42001 Math. Comput. 68, No. 226, 749-765 (1999). MSC: 42A10 30E10 94A05 94A20 PDFBibTeX XMLCite \textit{K. Gröchenig}, Math. Comput. 68, No. 226, 749--765 (1999; Zbl 1043.42001) Full Text: DOI
Benedetto, John J.; Li, Shidong The theory of multiresolution analysis frames and applications to filter banks. (English) Zbl 0915.42029 Appl. Comput. Harmon. Anal. 5, No. 4, 389-427 (1998). MSC: 42C15 94A12 PDFBibTeX XMLCite \textit{J. J. Benedetto} and \textit{S. Li}, Appl. Comput. Harmon. Anal. 5, No. 4, 389--427 (1998; Zbl 0915.42029) Full Text: DOI
Faridani, Adel A generalized sampling theorem for locally compact abelian groups. (English) Zbl 0808.65144 Math. Comput. 63, No. 207, 307-327 (1994). Reviewer: A.Bultheel (Leuven) MSC: 65T40 65D32 94A12 43A25 42A38 PDFBibTeX XMLCite \textit{A. Faridani}, Math. Comput. 63, No. 207, 307--327 (1994; Zbl 0808.65144) Full Text: DOI