Acar, Tuncer; Eke, Abdulkadir; Kursun, Sadettin Bivariate generalized Kantorovich-type exponential sampling series. (English) Zbl 07796722 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 1, Paper No. 35, 19 p. (2024). MSC: 41A25 41A35 42C15 46E22 94A20 PDFBibTeX XMLCite \textit{T. Acar} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 1, Paper No. 35, 19 p. (2024; Zbl 07796722) Full Text: DOI
Abreu, L. D.; Balazs, P.; Holighaus, N.; Luef, F.; Speckbacher, M. Time-frequency analysis on flat tori and Gabor frames in finite dimensions. (English) Zbl 07789660 Appl. Comput. Harmon. Anal. 69, Article ID 101622, 17 p. (2024). MSC: 42A38 42C15 46E15 42C30 46E22 94A12 94A20 PDFBibTeX XMLCite \textit{L. D. Abreu} et al., Appl. Comput. Harmon. Anal. 69, Article ID 101622, 17 p. (2024; Zbl 07789660) Full Text: DOI arXiv
Li, Yaxu Iterative kernel density estimation from noisy-dependent observations. (English) Zbl 07767822 Banach J. Math. Anal. 18, No. 1, Paper No. 1, 19 p. (2024). MSC: 62G07 46E22 94A20 PDFBibTeX XMLCite \textit{Y. Li}, Banach J. Math. Anal. 18, No. 1, Paper No. 1, 19 p. (2024; Zbl 07767822) Full Text: DOI
Neumayer, Sebastian; Stein, Viktor; Steidl, Gabriele; Rux, Nicolaj Wasserstein Gradient Flows for Moreau Envelopes of f-Divergences in Reproducing Kernel Hilbert Spaces. arXiv:2402.04613 Preprint, arXiv:2402.04613 [stat.ML] (2024). MSC: 46N10 46E22 94A15 BibTeX Cite \textit{S. Neumayer} et al., ``Wasserstein Gradient Flows for Moreau Envelopes of f-Divergences in Reproducing Kernel Hilbert Spaces'', Preprint, arXiv:2402.04613 [stat.ML] (2024) Full Text: arXiv OA License
Jorgensen, Palle E. T.; Song, Myung-Sin; Tian, James Infinite-dimensional stochastic transforms and reproducing kernel Hilbert space. (English) Zbl 07739023 Sampl. Theory Signal Process. Data Anal. 21, No. 1, Paper No. 12, 27 p. (2023). MSC: 47B32 41A15 41A65 42A82 42C15 46E22 47A05 47N10 60G15 62H25 68T07 81S05 90C20 94A08 94A12 94A20 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} et al., Sampl. Theory Signal Process. Data Anal. 21, No. 1, Paper No. 12, 27 p. (2023; Zbl 07739023) Full Text: DOI arXiv
Bourdais, Théo; Batlle, Pau; Yang, Xianjin; Baptista, Ricardo; Rouquette, Nicolas; Owhadi, Houman Computational Hypergraph Discovery, a Gaussian Process framework for connecting the dots. arXiv:2311.17007 Preprint, arXiv:2311.17007 [cs.LG] (2023). MSC: 62A09 62H22 65S05 90C35 94C15 46E22 62J02 15A83 62D20 68R10 BibTeX Cite \textit{T. Bourdais} et al., ``Computational Hypergraph Discovery, a Gaussian Process framework for connecting the dots'', Preprint, arXiv:2311.17007 [cs.LG] (2023) Full Text: arXiv OA License
Grohs, Philipp; Liehr, Lukas; Rathmair, Martin Phase retrieval in Fock space and perturbation of Liouville sets. arXiv:2308.00385 Preprint, arXiv:2308.00385 [math.FA] (2023). MSC: 30H20 46E22 94A12 94A20 BibTeX Cite \textit{P. Grohs} et al., ``Phase retrieval in Fock space and perturbation of Liouville sets'', Preprint, arXiv:2308.00385 [math.FA] (2023) Full Text: arXiv OA License
Andreolli, Beatrice; Gröchenig, Karlheinz Variable Bandwidth via Wilson bases. arXiv:2305.17290 Preprint, arXiv:2305.17290 [math.FA] (2023). MSC: 41A15 42C15 42C40 46B15 46E22 94A20 BibTeX Cite \textit{B. Andreolli} and \textit{K. Gröchenig}, ``Variable Bandwidth via Wilson bases'', Preprint, arXiv:2305.17290 [math.FA] (2023) Full Text: arXiv OA License
Silva, Luis O.; Toloza, Julio H. Oversampling on a class of symmetric regular de Branges spaces. arXiv:2304.13127 Preprint, arXiv:2304.13127 [math.FA] (2023). MSC: 42C15 46E22 47A06 47B32 94A20 BibTeX Cite \textit{L. O. Silva} and \textit{J. H. Toloza}, ``Oversampling on a class of symmetric regular de Branges spaces'', Preprint, arXiv:2304.13127 [math.FA] (2023) Full Text: arXiv OA License
Grohs, Philipp; Liehr, Lukas; Rathmair, Martin Multi-window STFT phase retrieval: lattice uniqueness. arXiv:2207.10620 Preprint, arXiv:2207.10620 [math.FA] (2022). MSC: 30H20 46E22 94A12 94A20 BibTeX Cite \textit{P. Grohs} et al., ``Multi-window STFT phase retrieval: lattice uniqueness'', Preprint, arXiv:2207.10620 [math.FA] (2022) Full Text: arXiv OA License
Bardaro, Carlo; Mantellini, Ilaria On a Durrmeyer-type modification of the exponential sampling series. (English) Zbl 1477.42030 Rend. Circ. Mat. Palermo (2) 70, No. 3, 1289-1304 (2021). MSC: 42C15 46E22 94A20 PDFBibTeX XMLCite \textit{C. Bardaro} and \textit{I. Mantellini}, Rend. Circ. Mat. Palermo (2) 70, No. 3, 1289--1304 (2021; Zbl 1477.42030) Full Text: DOI
Aydın, Ata Deniz; Gheondea, Aurelian Probability error bounds for approximation of functions in reproducing kernel Hilbert spaces. (English) Zbl 1477.46032 J. Funct. Spaces 2021, Article ID 6617774, 15 p. (2021). MSC: 46E22 94A20 PDFBibTeX XMLCite \textit{A. D. Aydın} and \textit{A. Gheondea}, J. Funct. Spaces 2021, Article ID 6617774, 15 p. (2021; Zbl 1477.46032) Full Text: DOI
Burrows, Liam; Guo, Weihong; Chen, Ke; Torella, Francesco Reproducible kernel Hilbert space based global and local image segmentation. (English) Zbl 1511.68296 Inverse Probl. Imaging 15, No. 1, 1-25 (2021). MSC: 68U10 46E22 94A08 PDFBibTeX XMLCite \textit{L. Burrows} et al., Inverse Probl. Imaging 15, No. 1, 1--25 (2021; Zbl 1511.68296) Full Text: DOI
Jiang, Yingchun; Li, Wan Random sampling in multiply generated shift-invariant subspaces of mixed Lebesgue spaces \(L^{p,q}(\mathbb{R}\times\mathbb{R}^d)\). (English) Zbl 1458.94185 J. Comput. Appl. Math. 386, Article ID 113237, 16 p. (2021). MSC: 94A20 46E22 62D05 PDFBibTeX XMLCite \textit{Y. Jiang} and \textit{W. Li}, J. Comput. Appl. Math. 386, Article ID 113237, 16 p. (2021; Zbl 1458.94185) Full Text: DOI
Jorgensen, Palle E. T.; Song, Myung-Sin; Tian, James Positive Definite Kernels, Algorithms, Frames, and Approximations. arXiv:2104.11807 Preprint, arXiv:2104.11807 [math.FA] (2021). MSC: 47B32 41A15 41A65 42A82 42C15 46E22 47A05 47N10 60G15 62H25 68T07 90C20 94A08 94A12 94A20 BibTeX Cite \textit{P. E. T. Jorgensen} et al., ``Positive Definite Kernels, Algorithms, Frames, and Approximations'', Preprint, arXiv:2104.11807 [math.FA] (2021) Full Text: arXiv OA License
Arcozzi, Nicola; Rochberg, Richard The Hardy space from an engineer’s perspective. (English) Zbl 1469.30109 Barletta, Elisabetta (ed.), Lecture notes of Seminario Interdisciplinare di Matematica. Vol. XV. Lecture Notes of Seminario Interdisciplinare di Matematica 15. Potenza: Seminario Interdisciplinare di Matematica (S.I.M.). 1-31 (2020). MSC: 30H10 94A12 46E22 PDFBibTeX XMLCite \textit{N. Arcozzi} and \textit{R. Rochberg}, Lect. Notes Semin. Interdiscip. Mat. 15, 1--31 (2020; Zbl 1469.30109) Full Text: arXiv
Toloza, Julio H.; Uribe, Alfredo Oversampling and aliasing in de Branges spaces arising from Bessel operators. (English) Zbl 1471.46024 J. Math. Anal. Appl. 492, No. 1, Article ID 124428, 22 p. (2020). MSC: 46E22 94A20 PDFBibTeX XMLCite \textit{J. H. Toloza} and \textit{A. Uribe}, J. Math. Anal. Appl. 492, No. 1, Article ID 124428, 22 p. (2020; Zbl 1471.46024) Full Text: DOI arXiv
Guo, Xin; Hu, Ting; Wu, Qiang Distributed minimum error entropy algorithms. (English) Zbl 1517.68330 J. Mach. Learn. Res. 21, Paper No. 126, 31 p. (2020). MSC: 68T05 41A35 46E22 68W15 90C90 94A17 PDFBibTeX XMLCite \textit{X. Guo} et al., J. Mach. Learn. Res. 21, Paper No. 126, 31 p. (2020; Zbl 1517.68330) Full Text: Link
Mitkovski, Mishko; Ramirez, Aaron Density results for continuous frames. (English) Zbl 1439.42044 J. Fourier Anal. Appl. 26, No. 4, Paper No. 56, 26 p. (2020). MSC: 42C15 46E22 94A20 PDFBibTeX XMLCite \textit{M. Mitkovski} and \textit{A. Ramirez}, J. Fourier Anal. Appl. 26, No. 4, Paper No. 56, 26 p. (2020; Zbl 1439.42044) Full Text: DOI arXiv
Jiang, Yingchun; Sun, Wenchang Adaptive sampling of time-space signals in a reproducing kernel subspace of mixed Lebesgue space. (English) Zbl 1457.46033 Banach J. Math. Anal. 14, No. 3, 821-841 (2020). MSC: 46E22 94A20 PDFBibTeX XMLCite \textit{Y. Jiang} and \textit{W. Sun}, Banach J. Math. Anal. 14, No. 3, 821--841 (2020; Zbl 1457.46033) Full Text: DOI arXiv
Freeden, Willi; Nashed, M. Zuhair Lattice point identities and Shannon-type sampling. (English) Zbl 1518.94001 Monographs and Research Notes in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-0-367-37563-8/hbk; 978-0-429-35510-3/ebook). xvii, 305 p. (2020). MSC: 94-02 94A20 94A12 11P21 46E22 42B25 35J99 PDFBibTeX XMLCite \textit{W. Freeden} and \textit{M. Z. Nashed}, Lattice point identities and Shannon-type sampling. Boca Raton, FL: CRC Press (2020; Zbl 1518.94001) Full Text: DOI
Bardaro, Carlo; Bevignani, Giada; Mantellini, Ilaria; Seracini, Marco Bivariate generalized exponential sampling series and applications to seismic waves. (English) Zbl 1463.42073 Constr. Math. Anal. 2, No. 4, 153-167 (2019). MSC: 42C15 46E22 94A20 PDFBibTeX XMLCite \textit{C. Bardaro} et al., Constr. Math. Anal. 2, No. 4, 153--167 (2019; Zbl 1463.42073) Full Text: DOI
Jiang, Yingchun Average sampling and reconstruction of reproducing kernel signals in mixed Lebesgue spaces. (English) Zbl 1422.94020 J. Math. Anal. Appl. 480, No. 1, Article ID 123370, 14 p. (2019). MSC: 94A20 46E22 47B32 PDFBibTeX XMLCite \textit{Y. Jiang}, J. Math. Anal. Appl. 480, No. 1, Article ID 123370, 14 p. (2019; Zbl 1422.94020) Full Text: DOI
Bardaro, Carlo; Mantellini, Ilaria; Schmeisser, Gerhard Exponential sampling series: convergence in Mellin-Lebesgue spaces. (English) Zbl 1461.41003 Result. Math. 74, No. 3, Paper No. 119, 20 p. (2019). MSC: 41A58 42C15 46E22 94A20 PDFBibTeX XMLCite \textit{C. Bardaro} et al., Result. Math. 74, No. 3, Paper No. 119, 20 p. (2019; Zbl 1461.41003) Full Text: DOI
Bhandari, Ayush; Zayed, Ahmed I. Shift-invariant and sampling spaces associated with the special affine Fourier transform. (English) Zbl 1409.94841 Appl. Comput. Harmon. Anal. 47, No. 1, 30-52 (2019). MSC: 94A20 42B35 65T50 PDFBibTeX XMLCite \textit{A. Bhandari} and \textit{A. I. Zayed}, Appl. Comput. Harmon. Anal. 47, No. 1, 30--52 (2019; Zbl 1409.94841) Full Text: DOI arXiv
Wang, Rui; Xu, Yuesheng Functional reproducing kernel Hilbert spaces for non-point-evaluation functional data. (English) Zbl 1423.46046 Appl. Comput. Harmon. Anal. 46, No. 3, 569-623 (2019). MSC: 46E22 68T05 94A20 PDFBibTeX XMLCite \textit{R. Wang} and \textit{Y. Xu}, Appl. Comput. Harmon. Anal. 46, No. 3, 569--623 (2019; Zbl 1423.46046) Full Text: DOI
Bietti, Alberto; Mairal, Julien Group invariance, stability to deformations, and complexity of deep convolutional representations. (English) Zbl 1483.68335 J. Mach. Learn. Res. 20, Paper No. 25, 49 p. (2019). MSC: 68T07 46E22 62B11 94A12 PDFBibTeX XMLCite \textit{A. Bietti} and \textit{J. Mairal}, J. Mach. Learn. Res. 20, Paper No. 25, 49 p. (2019; Zbl 1483.68335) Full Text: arXiv Link
Freeden, Willi; Nashed, M. Zuhair From the Gaussian circle problem to multivariate Shannon sampling. (English) Zbl 1412.94002 Nashed, M. Zuhair (ed.) et al., Frontiers in orthogonal polynomials and \(q\)-series. Papers based on the international conference, University of Central Florida, Orlando, FL, USA, May 10–12, 2015. Dedicated to Professor Mourad Ismail on his 70th birthday. Hackensack, NJ: World Scientific. Contemp. Math. Appl., Monogr. Expo. Lect. Notes 1, 213-237 (2018). MSC: 94-03 94-02 11P21 01A55 01A60 94A20 46E22 42B25 PDFBibTeX XMLCite \textit{W. Freeden} and \textit{M. Z. Nashed}, Contemp. Math. Appl., Monogr. Expo. Lect. Notes 1, 213--237 (2018; Zbl 1412.94002) Full Text: DOI
Berman, Robert J.; Ortega-Cerdà, Joaquim Sampling of real multivariate polynomials and pluripotential theory. (English) Zbl 1396.32014 Am. J. Math. 140, No. 3, 789-820 (2018). Reviewer: Manfred Stoll (Columbia) MSC: 32U35 32U15 32W20 46E22 14Q15 94A20 32A25 PDFBibTeX XMLCite \textit{R. J. Berman} and \textit{J. Ortega-Cerdà}, Am. J. Math. 140, No. 3, 789--820 (2018; Zbl 1396.32014) Full Text: DOI arXiv Link
Yukawa, Masahiro; Kagami, Hideaki Supervised nonnegative matrix factorization via minimization of regularized Moreau-envelope of divergence function with application to music transcription. (English) Zbl 1398.65131 J. Franklin Inst. 355, No. 4, 2041-2066 (2018). MSC: 65K05 00A65 15A23 15B48 46E22 65F30 90C25 94A17 PDFBibTeX XMLCite \textit{M. Yukawa} and \textit{H. Kagami}, J. Franklin Inst. 355, No. 4, 2041--2066 (2018; Zbl 1398.65131) Full Text: DOI
Lerasle, Matthieu; Szabo, Zoltan; Mathieu, Timothee; Lecue, Guillaume MONK – Outlier-Robust Mean Embedding Estimation by Median-of-Means. arXiv:1802.04784 Preprint, arXiv:1802.04784 [stat.ML] (2018). MSC: 46E22 94A15 62Gxx 47B32 BibTeX Cite \textit{M. Lerasle} et al., ``MONK -- Outlier-Robust Mean Embedding Estimation by Median-of-Means'', Preprint, arXiv:1802.04784 [stat.ML] (2018) Full Text: arXiv OA License
Dym, Harry; Sarkar, Santanu Multiplication operators with deficiency indices \((p,p)\) and sampling formulas in reproducing kernel Hilbert spaces of entire vector valued functions. (English) Zbl 1385.46016 J. Funct. Anal. 273, No. 12, 3671-3718 (2017). MSC: 46E22 47B32 47B25 94A20 PDFBibTeX XMLCite \textit{H. Dym} and \textit{S. Sarkar}, J. Funct. Anal. 273, No. 12, 3671--3718 (2017; Zbl 1385.46016) Full Text: DOI
Jiang, Yingchun; Wei, Lusong; Chen, Guangxi An adaptive sampling method for high-dimensional shift-invariant signals. (English) Zbl 1368.94066 Math. Methods Appl. Sci. 40, No. 12, 4529-4537 (2017). MSC: 94A20 46E22 PDFBibTeX XMLCite \textit{Y. Jiang} et al., Math. Methods Appl. Sci. 40, No. 12, 4529--4537 (2017; Zbl 1368.94066) Full Text: DOI
Jiang, Yingchun; Wang, Suping Sampling and quasi-optimal approximation for signals in a reproducing kernel space of homogeneous type. (English) Zbl 1358.94050 J. Comput. Appl. Math. 319, 296-307 (2017). MSC: 94A20 46E22 PDFBibTeX XMLCite \textit{Y. Jiang} and \textit{S. Wang}, J. Comput. Appl. Math. 319, 296--307 (2017; Zbl 1358.94050) Full Text: DOI
Jiang, Yingchun Time sampling and reconstruction in weighted reproducing kernel subspaces. (English) Zbl 1360.94184 J. Math. Anal. Appl. 444, No. 2, 1380-1402 (2016). MSC: 94A20 46E22 PDFBibTeX XMLCite \textit{Y. Jiang}, J. Math. Anal. Appl. 444, No. 2, 1380--1402 (2016; Zbl 1360.94184) Full Text: DOI
Cheng, Cheng; Jiang, Yingchun; Sun, Qiyu Sampling and Galerkin reconstruction in reproducing kernel spaces. (English) Zbl 1360.94182 Appl. Comput. Harmon. Anal. 41, No. 2, 638-659 (2016). MSC: 94A20 46E22 65J22 PDFBibTeX XMLCite \textit{C. Cheng} et al., Appl. Comput. Harmon. Anal. 41, No. 2, 638--659 (2016; Zbl 1360.94182) Full Text: DOI arXiv
Wang, Rui; Zhang, Haizhang Optimal sampling points in reproducing kernel Hilbert spaces. (English) Zbl 1339.46024 J. Complexity 34, 129-151 (2016). MSC: 46E22 94A20 65D15 PDFBibTeX XMLCite \textit{R. Wang} and \textit{H. Zhang}, J. Complexity 34, 129--151 (2016; Zbl 1339.46024) Full Text: DOI arXiv
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria The Mellin-Parseval formula and its interconnections with the exponential sampling theorem of optical physics. (English) Zbl 1335.30008 Integral Transforms Spec. Funct. 27, No. 1, 17-29 (2016). MSC: 30D10 94A20 42C15 46E22 PDFBibTeX XMLCite \textit{C. Bardaro} et al., Integral Transforms Spec. Funct. 27, No. 1, 17--29 (2016; Zbl 1335.30008) Full Text: DOI
Higgins, J. R. Converse sampling and interpolation. (English) Zbl 1346.94078 Sampl. Theory Signal Image Process. 14, No. 2, 145-152 (2015). MSC: 94A20 41A05 46E22 PDFBibTeX XMLCite \textit{J. R. Higgins}, Sampl. Theory Signal Image Process. 14, No. 2, 145--152 (2015; Zbl 1346.94078) Full Text: Link
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
Zayed, Ahmed I. Solution of the energy concentration problem in reproducing-kernel Hilbert space. (English) Zbl 1342.46028 SIAM J. Appl. Math. 75, No. 1, 21-37 (2015). MSC: 46E22 94A12 30C40 PDFBibTeX XMLCite \textit{A. I. Zayed}, SIAM J. Appl. Math. 75, No. 1, 21--37 (2015; Zbl 1342.46028) Full Text: DOI
Athalye, Vivek; Lustig, Michael; Uecker, Martin Parallel magnetic resonance imaging as approximation in a reproducing kernel Hilbert space. (English) Zbl 1317.65129 Inverse Probl. 31, No. 4, Article ID 045008, 23 p. (2015). MSC: 65J22 65J10 47A50 92C55 46E22 94A08 PDFBibTeX XMLCite \textit{V. Athalye} et al., Inverse Probl. 31, No. 4, Article ID 045008, 23 p. (2015; Zbl 1317.65129) Full Text: DOI arXiv Link
García, A. G.; Hernández-Medina, M. A. The zero-removing property in Hilbert spaces of entire functions arising in sampling theory. (English) Zbl 1338.46033 Result. Math. 67, No. 3-4, 471-494 (2015). MSC: 46E22 42C15 94A20 PDFBibTeX XMLCite \textit{A. G. García} and \textit{M. A. Hernández-Medina}, Result. Math. 67, No. 3--4, 471--494 (2015; Zbl 1338.46033) Full Text: DOI Link
Wang, Rui; Xu, Yuesheng Operator Reproducing Kernel Hilbert Spaces. arXiv:1512.05923 Preprint, arXiv:1512.05923 [math.FA] (2015). MSC: 46E22 68T05 94A20 BibTeX Cite \textit{R. Wang} and \textit{Y. Xu}, ``Operator Reproducing Kernel Hilbert Spaces'', Preprint, arXiv:1512.05923 [math.FA] (2015) Full Text: arXiv OA License
Bardaro, Carlo; Butzer, Paul Leo; Mantellini, Ilaria The exponential sampling theorem of signal analysis and the reproducing kernel formula in the Mellin transform setting. (English) Zbl 1346.94072 Sampl. Theory Signal Image Process. 13, No. 1, 35-66 (2014). MSC: 94A20 30D10 42C15 46E22 PDFBibTeX XMLCite \textit{C. Bardaro} et al., Sampl. Theory Signal Image Process. 13, No. 1, 35--66 (2014; Zbl 1346.94072) Full Text: Link
Higgins, J. R. Sampling in reproducing kernel Hilbert space. (English) Zbl 1322.46019 Zayed, Ahmed I. (ed.) et al., New perspectives on approximation and sampling theory. Festschrift in honor of Paul Butzer’s 85th birthday. Cham: Birkhäuser/Springer (ISBN 978-3-319-08800-6/hbk; 978-3-319-08801-3/ebook). Applied and Numerical Harmonic Analysis, 23-38 (2014). Reviewer: Ali Abkar (Qazvin) MSC: 46E22 47B32 94A20 PDFBibTeX XMLCite \textit{J. R. Higgins}, in: New perspectives on approximation and sampling theory. Festschrift in honor of Paul Butzer's 85th birthday. Cham: Birkhäuser/Springer. 23--38 (2014; Zbl 1322.46019) Full Text: DOI
Micheli, Mario; Glaunès, Joan A. Matrix-valued kernels for shape deformation analysis. (English) Zbl 1396.46025 Geom. Imaging Comput. 1, No. 1, 57-139 (2014). MSC: 46E22 58D05 94A08 PDFBibTeX XMLCite \textit{M. Micheli} and \textit{J. A. Glaunès}, Geom. Imaging Comput. 1, No. 1, 57--139 (2014; Zbl 1396.46025) Full Text: DOI arXiv
García, A. G.; Hernández-Medina, M. A.; Muñoz-Bouzo, M. J. The Kramer sampling theorem revisited. (English) Zbl 1322.46018 Acta Appl. Math. 133, No. 1, 87-111 (2014). Reviewer: Ahmed I. Zayed (Chicago) MSC: 46E22 42C15 94A20 46-02 PDFBibTeX XMLCite \textit{A. G. García} et al., Acta Appl. Math. 133, No. 1, 87--111 (2014; Zbl 1322.46018) Full Text: DOI Link
Gontier, David; Vetterli, Martin Sampling based on timing: time encoding machines on shift-invariant subspaces. (English) Zbl 1336.94018 Appl. Comput. Harmon. Anal. 36, No. 1, 63-78 (2014). MSC: 94A12 94A15 PDFBibTeX XMLCite \textit{D. Gontier} and \textit{M. Vetterli}, Appl. Comput. Harmon. Anal. 36, No. 1, 63--78 (2014; Zbl 1336.94018) Full Text: DOI arXiv
Moumni, Tahar; Zayed, Ahmed I. A generalization of the prolate spheroidal wave functions with applications to sampling. (English) Zbl 1323.33019 Integral Transforms Spec. Funct. 25, No. 6, 433-447 (2014). MSC: 33E10 44A05 46E22 94A12 94A20 PDFBibTeX XMLCite \textit{T. Moumni} and \textit{A. I. Zayed}, Integral Transforms Spec. Funct. 25, No. 6, 433--447 (2014; Zbl 1323.33019) Full Text: DOI
Christensen, Jens Gerlach; Ólafsson, Gestur Sampling in spaces of bandlimited functions on commutative spaces. (English) Zbl 1331.43006 Andrews, Travis D. (ed.) et al., Excursions in harmonic analysis. Volume 1. The February Fourier Talks at the Norbert Wiener Center, College Park, MD, USA, 2006–2011. New York, NY: Birkhäuser/Springer (ISBN 978-0-8176-8375-7/hbk; 978-0-8176-8376-4/ebook). Applied and Numerical Harmonic Analysis, 35-69 (2013). Reviewer: John Schmeelk (Doha) MSC: 43A85 42B35 94A20 46E22 PDFBibTeX XMLCite \textit{J. G. Christensen} and \textit{G. Ólafsson}, in: Excursions in harmonic analysis. Volume 1. The February Fourier Talks at the Norbert Wiener Center, College Park, MD, USA, 2006--2011. New York, NY: Birkhäuser/Springer. 35--69 (2013; Zbl 1331.43006) Full Text: DOI arXiv
Nashed, M. Zuhair; Sun, Qiyu Function spaces for sampling expansions. (English) Zbl 1345.46017 Shen, Xiaoping (ed.) et al., Multiscale signal analysis and modeling. New York, NY: Springer (ISBN 978-1-4614-4144-1/hbk; 978-1-4614-4145-8/ebook). 81-104 (2013). MSC: 46E22 94A20 PDFBibTeX XMLCite \textit{M. Z. Nashed} and \textit{Q. Sun}, in: Multiscale signal analysis and modeling. New York, NY: Springer. 81--104 (2013; Zbl 1345.46017) Full Text: DOI
Fernández-Moncada, P. E.; García, A. G.; Hernández-Medina, M. A. Sampling associated with resolvent-type kernels and Lagrange-type interpolation series. (English) Zbl 1293.46015 Houston J. Math. 39, No. 4, 1333-1347 (2013). MSC: 46E22 42C15 94A20 PDFBibTeX XMLCite \textit{P. E. Fernández-Moncada} et al., Houston J. Math. 39, No. 4, 1333--1347 (2013; Zbl 1293.46015)
García, Antonio G.; Hernández-Medina, Miguel A.; Szafraniec, Franciszek Hugon Analytic Kramer kernels, Lagrange-type interpolation series and de Branges spaces. (English) Zbl 1270.46022 Complex Var. Elliptic Equ. 58, No. 1, 79-97 (2013). Reviewer: Ahmed I. Zayed (Chicago) MSC: 46E22 94A20 46E20 PDFBibTeX XMLCite \textit{A. G. García} et al., Complex Var. Elliptic Equ. 58, No. 1, 79--97 (2013; Zbl 1270.46022) Full Text: DOI Link
Ericsson, Stefan Generalized sampling in shift invariant spaces with frames. (English) Zbl 1264.94084 Acta Math. Sin., Engl. Ser. 28, No. 9, 1823-1844 (2012). MSC: 94A20 46E22 PDFBibTeX XMLCite \textit{S. Ericsson}, Acta Math. Sin., Engl. Ser. 28, No. 9, 1823--1844 (2012; Zbl 1264.94084) Full Text: DOI
Mboup, Mamadou; Adalı, Tülay A generalization of the Fourier transform and its application to spectral analysis of chirp-like signals. (English) Zbl 1243.42019 Appl. Comput. Harmon. Anal. 32, No. 2, 305-312 (2012). Reviewer: Dumitru Stanomir (Bucureşti) MSC: 42A38 94A12 PDFBibTeX XMLCite \textit{M. Mboup} and \textit{T. Adalı}, Appl. Comput. Harmon. Anal. 32, No. 2, 305--312 (2012; Zbl 1243.42019) Full Text: DOI
Bouboulis, Pantelis; Theodoridis, Sergios Extension of Wirtinger’s calculus to reproducing kernel Hilbert spaces and the complex kernel LMS. (English) Zbl 1392.94109 IEEE Trans. Signal Process. 59, No. 3, 964-978 (2011). MSC: 94A12 62G08 46E22 PDFBibTeX XMLCite \textit{P. Bouboulis} and \textit{S. Theodoridis}, IEEE Trans. Signal Process. 59, No. 3, 964--978 (2011; Zbl 1392.94109) Full Text: DOI
Fernàndez-Moncada, P. E.; García, A. G.; Hernández-Medina, M. A. The zero-removing property and Lagrange-type interpolation series. (English) Zbl 1236.46024 Numer. Funct. Anal. Optim. 32, No. 8, 858-876 (2011). Reviewer: Joseph Lakey (Las Cruces) MSC: 46E22 42C15 94A20 PDFBibTeX XMLCite \textit{P. E. Fernàndez-Moncada} et al., Numer. Funct. Anal. Optim. 32, No. 8, 858--876 (2011; Zbl 1236.46024) Full Text: DOI Link
Butzer, P. L.; Ferreira, P. J. S. G.; Higgins, J. R.; Schmeisser, G.; Stens, R. L. The sampling theorem, Poisson’s summation formula, general Parseval formula, reproducing kernel formula and the Paley-Wiener theorem for bandlimited signals – their interconnections. (English) Zbl 1217.30025 Appl. Anal. 90, No. 3-4, 431-461 (2011). Reviewer: Vasily A. Chernecky (Odessa) MSC: 30D10 94A20 42C15 46E22 PDFBibTeX XMLCite \textit{P. L. Butzer} et al., Appl. Anal. 90, No. 3--4, 431--461 (2011; Zbl 1217.30025) Full Text: DOI
Tanaka, Akira; Imai, Hideyuki; Miyakoshi, Masaaki Kernel-induced sampling theorem. (English) Zbl 1392.94737 IEEE Trans. Signal Process. 58, No. 7, 3569-3577 (2010). MSC: 94A20 46E22 PDFBibTeX XMLCite \textit{A. Tanaka} et al., IEEE Trans. Signal Process. 58, No. 7, 3569--3577 (2010; Zbl 1392.94737) Full Text: DOI
Feichtinger, H. G.; Onchiş, D. M. Constructive reconstruction from irregular sampling in multi-window spline-type spaces. (English) Zbl 1322.42004 Ruzhansky, Michael (ed.) et al., Progress in analysis and its applications. Proceedings of the 7th international ISAAC congress held at the Imperial College London, London, UK, July 13–18, 2009. Hackensack, NJ: World Scientific (ISBN 978-981-4313-16-2/hbk; 978-981-4313-17-9/ebook). 257-265 (2010). MSC: 42A10 41A15 94A12 PDFBibTeX XMLCite \textit{H. G. Feichtinger} and \textit{D. M. Onchiş}, in: Progress in analysis and its applications. Proceedings of the 7th international ISAAC congress held at the Imperial College London, London, UK, July 13--18, 2009. Hackensack, NJ: World Scientific. 257--265 (2010; Zbl 1322.42004) Full Text: DOI
Alpay, Daniel; Mboup, Mamadou Discrete-time multi-scale systems. (English) Zbl 1286.94029 Integral Equations Oper. Theory 68, No. 2, 163-191 (2010). MSC: 94A12 44A35 46E22 47N70 93D25 PDFBibTeX XMLCite \textit{D. Alpay} and \textit{M. Mboup}, Integral Equations Oper. Theory 68, No. 2, 163--191 (2010; Zbl 1286.94029) Full Text: DOI arXiv
Quang, Minh Ha; Kang, Sung Ha; Le, Triet M. Image and video colorization using vector-valued reproducing kernel Hilbert spaces. (English) Zbl 1392.94042 J. Math. Imaging Vis. 37, No. 1, 49-65 (2010). MSC: 94A08 46E22 PDFBibTeX XMLCite \textit{M. H. Quang} et al., J. Math. Imaging Vis. 37, No. 1, 49--65 (2010; Zbl 1392.94042) Full Text: DOI
Ruiz-Medina, M. D. Functional denoising and reconstruction of fractal image sequences. (English) Zbl 1224.94006 Random Oper. Stoch. Equ. 17, No. 3, 275-293 (2009). Reviewer: Rostyslav E. Yamnenko (Kyïv) MSC: 94A08 60G22 28A80 62M40 47G30 46E22 PDFBibTeX XMLCite \textit{M. D. Ruiz-Medina}, Random Oper. Stoch. Equ. 17, No. 3, 275--293 (2009; Zbl 1224.94006) Full Text: DOI
García, Antonio G.; Portal, Alberto A general sampling theory in the functional Hilbert space induced by a Hilbert space valued kernel. (English) Zbl 1182.94020 J. Appl. Funct. Anal. 3, No. 3, 299-313 (2008). MSC: 94A20 44A05 46E22 PDFBibTeX XMLCite \textit{A. G. García} and \textit{A. Portal}, J. Appl. Funct. Anal. 3, No. 3, 299--313 (2008; Zbl 1182.94020)
Everitt, W. Norrie; García, Antonio G.; Hernández-Medina, Miguel Angel On Lagrange-type interpolation series and analytic Kramer kernels. (English) Zbl 1136.94003 Result. Math. 51, No. 3-4, 215-228 (2008). MSC: 94A20 46E22 PDFBibTeX XMLCite \textit{W. N. Everitt} et al., Result. Math. 51, No. 3--4, 215--228 (2008; Zbl 1136.94003) Full Text: DOI
Ericsson, Stefan Irregular sampling in shift invariant spaces of higher dimensions. (English) Zbl 1210.94074 Int. J. Wavelets Multiresolut. Inf. Process. 6, No. 1, 121-136 (2008). MSC: 94A20 42C15 46E22 42C40 41A15 PDFBibTeX XMLCite \textit{S. Ericsson}, Int. J. Wavelets Multiresolut. Inf. Process. 6, No. 1, 121--136 (2008; Zbl 1210.94074) Full Text: DOI
Silva, Luis O.; Toloza, Julio H. Corrigendum: Applications of Krein’s theory of regular symmetric operators to sampling theory. (English) Zbl 1143.47311 J. Phys. A, Math. Theor. 41, No. 17, Article ID 179801, 1 p. (2008). MSC: 47N70 94A20 41A05 46E22 PDFBibTeX XMLCite \textit{L. O. Silva} and \textit{J. H. Toloza}, J. Phys. A, Math. Theor. 41, No. 17, Article ID 179801, 1 p. (2008; Zbl 1143.47311) Full Text: DOI
Hong, Yoon Mi; Kim, Jong Min; Kwon, Kil H. Sampling theory in abstract reproducing kernel Hilbert space. (English) Zbl 1156.94319 Sampl. Theory Signal Image Process. 6, No. 1, 109-121 (2007). MSC: 94A20 46E22 46N99 PDFBibTeX XMLCite \textit{Y. M. Hong} et al., Sampl. Theory Signal Image Process. 6, No. 1, 109--121 (2007; Zbl 1156.94319)
García, A. G.; Hernández-Medina, M. A.; Portal, A. An approximation property of the functions defined trough a resolvent sampling kernel. (English) Zbl 1136.46023 Far East J. Math. Sci. (FJMS) 26, No. 1, 65-90 (2007). MSC: 46E22 94A20 PDFBibTeX XMLCite \textit{A. G. García} et al., Far East J. Math. Sci. (FJMS) 26, No. 1, 65--90 (2007; Zbl 1136.46023)
Silva, Luis O.; Toloza, Julio H. Applications of Krein’s theory of regular symmetric operators to sampling theory. (English) Zbl 1135.47061 J. Phys. A, Math. Theor. 40, No. 31, 9413-9426 (2007). MSC: 47N70 94A20 41A05 46E22 47B25 47N50 81V17 PDFBibTeX XMLCite \textit{L. O. Silva} and \textit{J. H. Toloza}, J. Phys. A, Math. Theor. 40, No. 31, 9413--9426 (2007; Zbl 1135.47061) Full Text: DOI arXiv
Smale, Steve; Zhou, Ding-Xuan Learning theory estimates via integral operators and their approximations. (English) Zbl 1127.68088 Constructive Approximation 26, No. 2, 153-172 (2007). MSC: 68T05 94A20 42B10 46E22 62H30 PDFBibTeX XMLCite \textit{S. Smale} and \textit{D.-X. Zhou}, Constr. Approx. 26, No. 2, 153--172 (2007; Zbl 1127.68088) Full Text: DOI
Steinwart, Ingo; Hush, Don R.; Scovel, Clint An explicit description of the reproducing kernel Hilbert spaces of Gaussian RBF kernels. (English) Zbl 1320.68148 IEEE Trans. Inf. Theory 52, No. 10, 4635-4643 (2006). MSC: 68T05 46E22 94A12 PDFBibTeX XMLCite \textit{I. Steinwart} et al., IEEE Trans. Inf. Theory 52, No. 10, 4635--4643 (2006; Zbl 1320.68148) Full Text: DOI
Higgins, J. R. Integral transforms and sampling theorems. (English) Zbl 1129.94304 Integral Transforms Spec. Funct. 17, No. 1, 45-52 (2006). MSC: 94A20 42A38 46E22 PDFBibTeX XMLCite \textit{J. R. Higgins}, Integral Transforms Spec. Funct. 17, No. 1, 45--52 (2006; Zbl 1129.94304) Full Text: DOI
Marzo, Jordi Riesz basis of exponentials for a union of cubes in R^{d}. arXiv:math/0601288 Preprint, arXiv:math/0601288 [math.FA] (2006). MSC: 94A20 30E05 46E22 30H05 BibTeX Cite \textit{J. Marzo}, ``Riesz basis of exponentials for a union of cubes in R^{d}'', Preprint, arXiv:math/0601288 [math.FA] (2006) Full Text: arXiv
García, Antonio G.; Hernández-Medina, Miguel A. Sampling theory associated with a symmetric operator with compact resolvent and de Branges spaces. (English) Zbl 1172.46300 Mediterr. J. Math. 2, No. 3, 345-356 (2005). MSC: 46E22 94A20 PDFBibTeX XMLCite \textit{A. G. García} and \textit{M. A. Hernández-Medina}, Mediterr. J. Math. 2, No. 3, 345--356 (2005; Zbl 1172.46300) Full Text: DOI
Smale, Steve; Zhou, Ding-Xuan Shannon sampling. II: Connections to learning theory. (English) Zbl 1107.94008 Appl. Comput. Harmon. Anal. 19, No. 3, 285-302 (2005). Reviewer: Qiao Wang (Nanjing) MSC: 94A20 42B10 46E22 68Q32 68T05 68U10 41A05 62J05 PDFBibTeX XMLCite \textit{S. Smale} and \textit{D.-X. Zhou}, Appl. Comput. Harmon. Anal. 19, No. 3, 285--302 (2005; Zbl 1107.94008) Full Text: DOI
Berlinet, Alain; Thomas-Agnan, Christine [Diaconis, Persi] Reproducing kernel Hilbert spaces in probability and statistics. With a preface by Persi Diaconis. (English) Zbl 1145.62002 Boston, MA: Kluwer Academic Publishers (ISBN 1-4020-7679-7/hbk). xxii, 355 p. (2004). MSC: 62-02 46E22 46N30 60G35 60G57 62G05 62M20 94A12 PDFBibTeX XMLCite \textit{A. Berlinet} and \textit{C. Thomas-Agnan}, Reproducing kernel Hilbert spaces in probability and statistics. With a preface by Persi Diaconis. Boston, MA: Kluwer Academic Publishers (2004; Zbl 1145.62002)
Xian, Jun; Lin, Wei Sampling and reconstruction in time-warped spaces and their applications. (English) Zbl 1060.94508 Appl. Math. Comput. 157, No. 1, 153-173 (2004). MSC: 94A20 94A12 46E22 PDFBibTeX XMLCite \textit{J. Xian} and \textit{W. Lin}, Appl. Math. Comput. 157, No. 1, 153--173 (2004; Zbl 1060.94508) Full Text: DOI
García, A. G.; Littlejohn, L. L. On analytic sampling theory. (English) Zbl 1057.44003 J. Comput. Appl. Math. 171, No. 1-2, 235-246 (2004). Reviewer: Isabel Marrero (La Laguna) MSC: 44A60 46E22 94A20 PDFBibTeX XMLCite \textit{A. G. García} and \textit{L. L. Littlejohn}, J. Comput. Appl. Math. 171, No. 1--2, 235--246 (2004; Zbl 1057.44003) Full Text: DOI
Du, Hai; Shi, Ming; Zhang, Jingyuan; Jiang, Xingzhou Wideband waveform design based on reproducing kernel. (English) Zbl 1110.94303 Li, Jian Ping (ed.) et al., Proceedings of the third international conference on wavelet analysis and its applications (WAA), Chongqing, PR China, May 29–31, 2003. 2 Vols. River Edge, NJ: World Scientific (ISBN 981-238-342-5/hbk/set). 405-410 (2003). MSC: 94A12 42C40 46E22 PDFBibTeX XMLCite \textit{H. Du} et al., in: Proceedings of the third international conference on wavelet analysis and its applications (WAA), Chongqing, PR China, May 29--31, 2003. 2 Vols. River Edge, NJ: World Scientific. 405--410 (2003; Zbl 1110.94303)
García, Antonio G.; Portal, Alberto Sampling in the functional Hilbert space induced by a Hilbert space valued kernel. (English) Zbl 1087.94016 Appl. Anal. 82, No. 12, 1145-1158 (2003). MSC: 94A20 44A05 46E22 PDFBibTeX XMLCite \textit{A. G. García} and \textit{A. Portal}, Appl. Anal. 82, No. 12, 1145--1158 (2003; Zbl 1087.94016) Full Text: DOI
García, Antonio G.; Portal, Alberto Hypercircle inequalities and sampling theory. (English) Zbl 1087.94015 Appl. Anal. 82, No. 12, 1111-1125 (2003). MSC: 94A20 44A05 46E22 PDFBibTeX XMLCite \textit{A. G. García} and \textit{A. Portal}, Appl. Anal. 82, No. 12, 1111--1125 (2003; Zbl 1087.94015) Full Text: DOI
García, A. G.; Szafraniec, F. H. A converse of the Kramer sampling theorem. (English) Zbl 1067.94008 Sampl. Theory Signal Image Process. 1, No. 1, 53-61 (2002). MSC: 94A20 46E22 PDFBibTeX XMLCite \textit{A. G. García} and \textit{F. H. Szafraniec}, Sampl. Theory Signal Image Process. 1, No. 1, 53--61 (2002; Zbl 1067.94008)
Ortega-Cerdà, Joaquim; Seip, Kristian Fourier frames. (English) Zbl 1015.42023 Ann. Math. (2) 155, No. 3, 789-806 (2002). MSC: 42C15 94C10 46E22 46C07 PDFBibTeX XMLCite \textit{J. Ortega-Cerdà} and \textit{K. Seip}, Ann. Math. (2) 155, No. 3, 789--806 (2002; Zbl 1015.42023) Full Text: DOI arXiv Link
Garcia, Antonio G. Orthogonal sampling formulas: A unified approach. (English) Zbl 0983.94017 SIAM Rev. 42, No. 3, 499-512 (2000). MSC: 94C10 46E22 42C15 94-01 PDFBibTeX XMLCite \textit{A. G. Garcia}, SIAM Rev. 42, No. 3, 499--512 (2000; Zbl 0983.94017) Full Text: DOI
Yanagi, Kenjiro The role of reproducing kernel Hilbert spaces in relation to probability measures on infinite-dimensional spaces—estimating their application to continuous-time Gaussian channels. (Japanese) Zbl 0938.46515 RIMS Kokyuroku 1067, 108-117 (1998). MSC: 46E22 28C20 46G12 94A12 94A40 PDFBibTeX XMLCite \textit{K. Yanagi}, RIMS Kokyuroku 1067, 108--117 (1998; Zbl 0938.46515)
Umegaki, Hisaharu Reproducing kernel Hilbert spaces that generate signal functions—composition of spectral integrals. (Japanese) Zbl 0938.46514 RIMS Kokyuroku 1067, 118-124 (1998). MSC: 46E22 94A12 PDFBibTeX XMLCite \textit{H. Umegaki}, RIMS Kokyuroku 1067, 118--124 (1998; Zbl 0938.46514)
Murakami, Atsushi; Yamasaki, Maretsugu; Yone-e, Yoshinori Some properties of reproducing kernels on an infinite network. (English) Zbl 0832.31006 Mem. Fac. Sci., Shimane Univ. 28, 1-8 (1994). Reviewer: E.Ederle (München) MSC: 31C20 90C99 94C05 PDFBibTeX XMLCite \textit{A. Murakami} et al., Mem. Fac. Sci., Shimane Univ. 28, 1--8 (1994; Zbl 0832.31006)
Nashed, M. Zuhair; Walter, Gilbert G. General sampling theorems for functions in reproducing kernel Hilbert spaces. (English) Zbl 0734.46019 Math. Control Signals Syst. 4, No. 4, 363-390 (1991). Reviewer: F.Pessoa (Fortaleza) MSC: 46E22 46E35 94A12 PDFBibTeX XMLCite \textit{M. Z. Nashed} and \textit{G. G. Walter}, Math. Control Signals Syst. 4, No. 4, 363--390 (1991; Zbl 0734.46019) Full Text: DOI
Nashed, M. Z.; Walter, G. G. Reconstructing a function from its values on a subset of its domain: New sampling theorems. (English) Zbl 0737.65111 Integral equations and inverse problems, Proc. Int. Conf., Varna/Bulg. 1989, Pitman Res. Notes Math. Ser. 235, 175-184 (1991). Reviewer: R.Gorenflo (Berlin) MSC: 65T40 94A12 42C15 46E22 PDFBibTeX XMLCite \textit{M. Z. Nashed} and \textit{G. G. Walter}, in: Spectral properties of elliptic operators of negative order. . 175--184 (1991; Zbl 0737.65111)
Seip, Kristian Reproducing formulas and double orthogonality in Bargmann and Bergman spaces. (English) Zbl 0767.44005 SIAM J. Math. Anal. 22, No. 3, 856-876 (1991). Reviewer: M.Cowling (Kensington) MSC: 44A15 30C40 94A05 41A05 42C15 PDFBibTeX XMLCite \textit{K. Seip}, SIAM J. Math. Anal. 22, No. 3, 856--876 (1991; Zbl 0767.44005) Full Text: DOI
Dym, Harry RKHS, LIS and interpolation. (English) Zbl 0728.46026 Signal processing, scattering and operator theory, and numerical methods, Proc. Int. Symp. Math. Theory Networks Syst., MTNS, Vol. III, Amsterdam/Neth. 1989, Prog. Syst. Control Theory 5, 65-78 (1990). MSC: 46E22 47A40 47A57 94C99 40A05 PDFBibTeX XML