Ramos, João P. G.; Sousa, Mateus Perturbed interpolation formulae and applications. (English) Zbl 07785264 Anal. PDE 16, No. 10, 2327-2384 (2023). MSC: 41A05 42A38 46E39 11F30 PDFBibTeX XMLCite \textit{J. P. G. Ramos} and \textit{M. Sousa}, Anal. PDE 16, No. 10, 2327--2384 (2023; Zbl 07785264) Full Text: DOI arXiv
Scali, Stefano; Anders, Janet; Horsley, Simon A. R. Graph theory approach to exceptional points in wave scattering. (English) Zbl 1525.81037 J. Phys. A, Math. Theor. 56, No. 27, Article ID 275201, 25 p. (2023). MSC: 81U30 81V60 14B12 35P15 35B20 46L57 81R30 60J70 PDFBibTeX XMLCite \textit{S. Scali} et al., J. Phys. A, Math. Theor. 56, No. 27, Article ID 275201, 25 p. (2023; Zbl 1525.81037) Full Text: DOI arXiv
Christensen, Erik Some points of view on Grothendieck’s inequalities. arXiv:2312.09029 Preprint, arXiv:2312.09029 [math.FA] (2023). MSC: 15A39 15A60 46B28 46B85 46L07 47L25 BibTeX Cite \textit{E. Christensen}, ``Some points of view on Grothendieck's inequalities'', Preprint, arXiv:2312.09029 [math.FA] (2023) Full Text: arXiv OA License
Carbery, Anthony; Tang, Michael Chi Yung Non-transversal multilinear duality and joints. (English) Zbl 1515.42009 Rev. Mat. Iberoam. 38, No. 7, 2385-2404 (2022). Reviewer: Boris Rubin (Baton Rouge) MSC: 42B20 46B28 47A30 52C35 51E30 PDFBibTeX XMLCite \textit{A. Carbery} and \textit{M. C. Y. Tang}, Rev. Mat. Iberoam. 38, No. 7, 2385--2404 (2022; Zbl 1515.42009) Full Text: DOI arXiv
Mildenberger, Sophie; Quellmalz, Michael Approximation properties of the double Fourier sphere method. (English) Zbl 1485.42011 J. Fourier Anal. Appl. 28, No. 2, Paper No. 31, 30 p. (2022). MSC: 42B05 42C10 43A90 65T50 46E35 PDFBibTeX XMLCite \textit{S. Mildenberger} and \textit{M. Quellmalz}, J. Fourier Anal. Appl. 28, No. 2, Paper No. 31, 30 p. (2022; Zbl 1485.42011) Full Text: DOI arXiv
Friedland, Shmuel; Lai, Zehua; Lim, Lek-Heng Haagerup bound for quaternionic Grothendieck inequality. arXiv:2212.00208 Preprint, arXiv:2212.00208 [math.FA] (2022). MSC: 47A07 46B28 46B85 81P40 81P45 03D15 97K30 47N10 90C27 BibTeX Cite \textit{S. Friedland} et al., ``Haagerup bound for quaternionic Grothendieck inequality'', Preprint, arXiv:2212.00208 [math.FA] (2022) Full Text: arXiv OA License
Wang, Rui; Xu, Yuesheng Representer theorems in Banach spaces: minimum norm interpolation, regularized learning and semi-discrete inverse problems. (English) Zbl 1507.68261 J. Mach. Learn. Res. 22, Paper No. 225, 65 p. (2021). MSC: 68T05 41A65 46B20 46N10 PDFBibTeX XMLCite \textit{R. Wang} and \textit{Y. Xu}, J. Mach. Learn. Res. 22, Paper No. 225, 65 p. (2021; Zbl 1507.68261) Full Text: arXiv Link
Li, Yi; Wang, Ruosong; Woodruff, David P. Tight bounds for the subspace sketch problem with applications. (English) Zbl 1522.68174 SIAM J. Comput. 50, No. 4, 1287-1335 (2021). MSC: 68P05 46B85 68Q17 PDFBibTeX XMLCite \textit{Y. Li} et al., SIAM J. Comput. 50, No. 4, 1287--1335 (2021; Zbl 1522.68174) Full Text: DOI arXiv
Kawakami, Shoya Two notes on the O’Hara energies. (English) Zbl 1470.57015 Discrete Contin. Dyn. Syst., Ser. S 14, No. 3, 953-970 (2021). MSC: 57K10 53A04 49Q10 46E35 49M25 PDFBibTeX XMLCite \textit{S. Kawakami}, Discrete Contin. Dyn. Syst., Ser. S 14, No. 3, 953--970 (2021; Zbl 1470.57015) Full Text: DOI arXiv
Warr, Richard L.; Wight, Cason J. Error bounds for cumulative distribution functions of convolutions via the discrete Fourier transform. (English) Zbl 07297541 Methodol. Comput. Appl. Probab. 22, No. 3, 881-904 (2020). MSC: 65T50 44A35 46F12 60K15 PDFBibTeX XMLCite \textit{R. L. Warr} and \textit{C. J. Wight}, Methodol. Comput. Appl. Probab. 22, No. 3, 881--904 (2020; Zbl 07297541) Full Text: DOI
Müller, Paul F. X.; Passenbrunner, Markus Almost everywhere convergence of spline sequences. (English) Zbl 1462.46012 Isr. J. Math. 240, No. 1, 149-177 (2020). Reviewer: Oscar Blasco (València) MSC: 46B09 41A30 60G42 46E40 PDFBibTeX XMLCite \textit{P. F. X. Müller} and \textit{M. Passenbrunner}, Isr. J. Math. 240, No. 1, 149--177 (2020; Zbl 1462.46012) Full Text: DOI arXiv
Jorgensen, Palle E. T.; Tian, James F. Superposition, reduction of multivariable problems, and approximation. (English) Zbl 07272156 Anal. Appl., Singap. 18, No. 5, 771-801 (2020). MSC: 47L60 46N30 46N50 42C15 65R10 31C20 62D05 94A20 39A12 46N20 22E70 31A15 58J65 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} and \textit{J. F. Tian}, Anal. Appl., Singap. 18, No. 5, 771--801 (2020; Zbl 07272156) Full Text: DOI arXiv
Eskenazis, Alexandros; Ivanisvili, Paata Polynomial inequalities on the Hamming cube. (English) Zbl 1447.42029 Probab. Theory Relat. Fields 178, No. 1-2, 235-287 (2020). MSC: 42C10 41A17 41A63 46B07 46B85 PDFBibTeX XMLCite \textit{A. Eskenazis} and \textit{P. Ivanisvili}, Probab. Theory Relat. Fields 178, No. 1--2, 235--287 (2020; Zbl 1447.42029) Full Text: DOI arXiv
Haroske, Dorothee D.; Skrzypczak, Leszek Morrey sequence spaces: Pitt’s theorem and compact embeddings. (English) Zbl 1454.46037 Constr. Approx. 51, No. 3, 505-535 (2020). Reviewer: Wen Yuan (Beijing) MSC: 46E39 47B06 46B45 PDFBibTeX XMLCite \textit{D. D. Haroske} and \textit{L. Skrzypczak}, Constr. Approx. 51, No. 3, 505--535 (2020; Zbl 1454.46037) Full Text: DOI arXiv
Takemura, Kazuo; Kametaka, Yoshinori Sharp constants of discrete Sobolev inequalities on a cyclic rectangular lattice. (English) Zbl 1423.05104 Far East J. Math. Sci. (FJMS) 112, No. 2, 175-194 (2019). MSC: 05C50 41A44 46E39 PDFBibTeX XMLCite \textit{K. Takemura} and \textit{Y. Kametaka}, Far East J. Math. Sci. (FJMS) 112, No. 2, 175--194 (2019; Zbl 1423.05104) Full Text: DOI
Ostrovska, Sofiya; Turan, Mehmet On the metric space of the limit \(q\)-Bernstein operators. (English) Zbl 07048573 Numer. Funct. Anal. Optim. 40, No. 2, 134-146 (2019). MSC: 47B38 46B85 26D15 41A36 PDFBibTeX XMLCite \textit{S. Ostrovska} and \textit{M. Turan}, Numer. Funct. Anal. Optim. 40, No. 2, 134--146 (2019; Zbl 07048573) Full Text: DOI
Friedland, Shmuel; Lim, Lek-Heng; Zhang, Jinjie An elementary and unified proof of Grothendieck’s inequality. (English) Zbl 07117762 Enseign. Math. (2) 64, No. 3-4, 327-351 (2018). MSC: 47A07 46B28 46B85 PDFBibTeX XMLCite \textit{S. Friedland} et al., Enseign. Math. (2) 64, No. 3--4, 327--351 (2018; Zbl 07117762) Full Text: DOI arXiv
Berná, Pablo M.; Blasco, Oscar; Garrigós, Gustavo; Hernández, Eugenio; Oikhberg, Timur Embeddings and Lebesgue-type inequalities for the greedy algorithm in Banach spaces. (English) Zbl 1404.41011 Constr. Approx. 48, No. 3, 415-451 (2018). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 41A65 41A46 41A17 46B15 46B45 PDFBibTeX XMLCite \textit{P. M. Berná} et al., Constr. Approx. 48, No. 3, 415--451 (2018; Zbl 1404.41011) Full Text: DOI arXiv
Dahlke, Stephan; Döhring, Nicolas; Kinzel, Stefan On the construction of stochastic fields with prescribed regularity by wavelet expansions. (English) Zbl 1395.42078 Vietnam J. Math. 46, No. 3, 557-577 (2018). MSC: 42C40 46A32 46B28 46E39 60H25 60G60 65T60 42B35 PDFBibTeX XMLCite \textit{S. Dahlke} et al., Vietnam J. Math. 46, No. 3, 557--577 (2018; Zbl 1395.42078) Full Text: DOI
Andoni, Alexandr; Krauthgamer, Robert; Razenshteyn, Ilya Sketching and embedding are equivalent for norms. (English) Zbl 1406.46015 SIAM J. Comput. 47, No. 3, 890-916 (2018). Reviewer: Mikhail Ostrovskii (Queens) MSC: 46B85 68P05 30L05 68W20 68W25 PDFBibTeX XMLCite \textit{A. Andoni} et al., SIAM J. Comput. 47, No. 3, 890--916 (2018; Zbl 1406.46015) Full Text: DOI
Naor, Assaf; Young, Robert Vertical perimeter versus horizontal perimeter. (English) Zbl 1397.46020 Ann. Math. (2) 188, No. 1, 171-279 (2018). Reviewer: Mikhail Ostrovskii (Queens) MSC: 46B85 20F65 30L05 43A15 68W25 PDFBibTeX XMLCite \textit{A. Naor} and \textit{R. Young}, Ann. Math. (2) 188, No. 1, 171--279 (2018; Zbl 1397.46020) Full Text: DOI arXiv
Borrelli, William Multiple solutions for a self-consistent Dirac equation in two dimensions. (English) Zbl 1393.81013 J. Math. Phys. 59, No. 4, 041503, 13 p. (2018). Reviewer: Piotr Garbaczewski (Opole) MSC: 81Q10 82C70 82D80 35Q55 35L86 81Q05 46E39 47A10 47B06 35S15 PDFBibTeX XMLCite \textit{W. Borrelli}, J. Math. Phys. 59, No. 4, 041503, 13 p. (2018; Zbl 1393.81013) Full Text: DOI arXiv
de Laat, Tim; de la Salle, Mikael Approximation properties for noncommutative \(L^p\)-spaces of high rank lattices and nonembeddability of expanders. (English) Zbl 1396.46021 J. Reine Angew. Math. 737, 49-69 (2018). MSC: 46B85 46L52 05C80 PDFBibTeX XMLCite \textit{T. de Laat} and \textit{M. de la Salle}, J. Reine Angew. Math. 737, 49--69 (2018; Zbl 1396.46021) Full Text: DOI arXiv
Asekritova, Irina; Karlovich, Yuri; Kruglyak, Natan One-sided invertibility of discrete operators and their applications. (English) Zbl 1417.39068 Aequationes Math. 92, No. 1, 39-73 (2018). MSC: 39A70 39B32 41A05 46B70 47B38 47B39 PDFBibTeX XMLCite \textit{I. Asekritova} et al., Aequationes Math. 92, No. 1, 39--73 (2018; Zbl 1417.39068) Full Text: DOI
Ardakani, Halimeh; Modarres Mosadegh, S. M. Sadegh; Moshtaghioun, S. Mohammad Weak sequential convergence in the dual of compact operators between Banach lattices. (English) Zbl 1488.46037 Filomat 31, No. 3, 723-728 (2017). MSC: 46B28 46B42 PDFBibTeX XMLCite \textit{H. Ardakani} et al., Filomat 31, No. 3, 723--728 (2017; Zbl 1488.46037) Full Text: DOI
Sidiropoulos, Anastasios; Wang, Dingkang; Wang, Yusu Metric embeddings with outliers. (English) Zbl 1411.68199 Klein, Philip N. (ed.), Proceedings of the 28th annual ACM-SIAM symposium on discrete algorithms, SODA 2017, Barcelona, Spain, January 16–19, 2017. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); New York, NY: Association for Computing Machinery (ACM). 670-689 (2017). MSC: 68W25 46B85 68Q17 PDFBibTeX XMLCite \textit{A. Sidiropoulos} et al., in: Proceedings of the 28th annual ACM-SIAM symposium on discrete algorithms, SODA 2017, Barcelona, Spain, January 16--19, 2017. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); New York, NY: Association for Computing Machinery (ACM). 670--689 (2017; Zbl 1411.68199) Full Text: DOI
Takemura, Kazuo; Kametaka, Yoshinori; Nagai, Atsushi A hierarchical structure for the sharp constants of discrete Sobolev inequalities on a weighted complete graph. (English) Zbl 1390.46040 Symmetry 10, No. 1, Article ID 1, 13 p. (2018). MSC: 46E39 41A44 05C50 PDFBibTeX XMLCite \textit{K. Takemura} et al., Symmetry 10, No. 1, Article ID 1, 13 p. (2017; Zbl 1390.46040) Full Text: DOI
Mauro, Patricia Couto G.; Pombo, Dinamérico P. jun. Addendum to the paper “Linearly topologized modules over a discrete valuation ring”. (English) Zbl 1441.13050 Boll. Unione Mat. Ital. 10, No. 4, 591-594 (2017). MSC: 13F30 46A32 46E40 46A20 PDFBibTeX XMLCite \textit{P. C. G. Mauro} and \textit{D. P. Pombo jun.}, Boll. Unione Mat. Ital. 10, No. 4, 591--594 (2017; Zbl 1441.13050) Full Text: DOI
Elkin, Michael; Filtser, Arnold; Neiman, Ofer Terminal embeddings. (English) Zbl 1378.68128 Theor. Comput. Sci. 697, 1-36 (2017). MSC: 68R10 05C62 46B85 68W25 PDFBibTeX XMLCite \textit{M. Elkin} et al., Theor. Comput. Sci. 697, 1--36 (2017; Zbl 1378.68128) Full Text: DOI arXiv
Deshpande, Amit; Harsha, Prahladh; Venkat, Rakesh Embedding approximately low-dimensional \(\ell_2^2\) metrics into \(\ell_1\). (English) Zbl 1391.68124 Lal, Akash (ed.) et al., 36th IARCS annual conference on foundations of software technology and theoretical computer science (FSTTCS 2016), Chennai, India, December 13–15, 2016. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik (ISBN 978-3-95977-027-9). LIPIcs – Leibniz International Proceedings in Informatics 65, Article 10, 13 p. (2016). MSC: 68W25 05C85 46B85 54E35 68W40 90C27 PDFBibTeX XMLCite \textit{A. Deshpande} et al., LIPIcs -- Leibniz Int. Proc. Inform. 65, Article 10, 13~p. (2016; Zbl 1391.68124) Full Text: DOI arXiv
Takemura, Kazuo; Nagai, Atsushi; Kametaka, Yoshinori Two types of discrete Sobolev inequalities on a weighted Toeplitz graph. (English) Zbl 1343.05097 Linear Algebra Appl. 507, 344-355 (2016). MSC: 05C50 41A44 46E39 PDFBibTeX XMLCite \textit{K. Takemura} et al., Linear Algebra Appl. 507, 344--355 (2016; Zbl 1343.05097) Full Text: DOI
Ruzhansky, Michael; Tikhonov, Sergey Some problems in Fourier analysis and approximation theory. (English) Zbl 1343.42001 Ruzhansky, Michael (ed.) et al., Methods of Fourier analysis and approximation theory. Collected papers based on the presentations at the 9th ISAAC congress, section “Approximation theory and Fourier analysis”, Crakow, Poland, August 5–9, 2013 and at the conference on Fourier analysis and approximation theory in the CRM, Barcelona, Spain, November 4–8, 2013. Basel: Birkhäuser/Springer (ISBN 978-3-319-27465-2/hbk; 978-3-319-27466-9/ebook). Applied and Numerical Harmonic Analysis, 1-19 (2016). MSC: 42-02 41-02 49-02 42B20 42B10 42C15 42C10 42A99 42A10 41A17 49J40 49M25 32A35 32A22 46E35 26B05 65C05 PDFBibTeX XMLCite \textit{M. Ruzhansky} and \textit{S. Tikhonov}, in: Methods of Fourier analysis and approximation theory. Collected papers based on the presentations at the 9th ISAAC congress, section ``Approximation theory and Fourier analysis'', Crakow, Poland, August 5--9, 2013 and at the conference on Fourier analysis and approximation theory in the CRM, Barcelona, Spain, November 4--8, 2013. Basel: Birkhäuser/Springer. 1--19 (2016; Zbl 1343.42001) Full Text: DOI
Vasil’eva, A. A. Estimates for \(n\)-widths of two-weighted summation operators on trees. (English) Zbl 1358.46037 Math. Notes 99, No. 2, 243-252 (2016). MSC: 46E39 41A46 PDFBibTeX XMLCite \textit{A. A. Vasil'eva}, Math. Notes 99, No. 2, 243--252 (2016; Zbl 1358.46037) Full Text: DOI
Elkin, Michael; Filtser, Arnold; Neiman, Ofer Terminal embeddings. (English) Zbl 1375.68092 Garg, Naveen (ed.) et al., Approximation, randomization, and combinatorial optimization. Algorithms and techniques. Proceedings of the 18th international workshop on approximation algorithms for combinatorial optimization problems (APPROX 2015) and the 19th international workshop on randomization and computation (RANDOM 2015), Princeton, NJ, USA, August 24–26, 2015. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik (ISBN 978-3-939897-89-7). LIPIcs – Leibniz International Proceedings in Informatics 40, 242-264 (2015). MSC: 68R10 05C62 46B85 68W25 PDFBibTeX XMLCite \textit{M. Elkin} et al., LIPIcs -- Leibniz Int. Proc. Inform. 40, 242--264 (2015; Zbl 1375.68092) Full Text: DOI
Ardakani, H. Weak Dunford-Pettis property for a closed sublattice of compact operators. (English) Zbl 1365.46015 J. Math. Ext. 9, No. 1, 65-74 (2015). MSC: 46B28 46B42 PDFBibTeX XMLCite \textit{H. Ardakani}, J. Math. Ext. 9, No. 1, 65--74 (2015; Zbl 1365.46015) Full Text: Link
Chen, Xiaoman; Wang, Qin; Wang, Xianjin Truncation approximations and spectral invariant subalgebras in uniform Roe algebras of discrete groups. (English) Zbl 1343.46067 J. Fourier Anal. Appl. 21, No. 3, 555-574 (2015). MSC: 46L89 20F65 22D15 43A10 PDFBibTeX XMLCite \textit{X. Chen} et al., J. Fourier Anal. Appl. 21, No. 3, 555--574 (2015; Zbl 1343.46067) Full Text: DOI
Mauro, Patricia Couto G.; Pombo, Dinamérico P. jun. Linearly topologized modules over a discrete valuation ring. (English) Zbl 1312.13025 Boll. Unione Mat. Ital. 7, No. 4, 253-278 (2015); addendum ibid. 10, No. 4, 591-594 (2017). MSC: 13F30 46A32 46E40 46A20 PDFBibTeX XMLCite \textit{P. C. G. Mauro} and \textit{D. P. Pombo jun.}, Boll. Unione Mat. Ital. 7, No. 4, 253--278 (2015; Zbl 1312.13025) Full Text: DOI
Mitrea, Alexandru I. On the dense unbounded divergence of the discrete best approximation. (English) Zbl 1357.41029 Taiwanese J. Math. 18, No. 4, 1119-1127 (2014). MSC: 41A50 41A10 41A65 46E15 PDFBibTeX XMLCite \textit{A. I. Mitrea}, Taiwanese J. Math. 18, No. 4, 1119--1127 (2014; Zbl 1357.41029) Full Text: DOI
Kelleher, Casey; Miller, Daniel; Osborn, Trenton; Weston, Anthony Polygonal equalities and virtual degeneracy in \(L_p\)-spaces. (English) Zbl 1330.46025 J. Math. Anal. Appl. 415, No. 1, 247-268 (2014). Reviewer: Enrique Alfonso Sánchez-Pérez (València) MSC: 46B85 46B25 51E99 41A17 46B04 PDFBibTeX XMLCite \textit{C. Kelleher} et al., J. Math. Anal. Appl. 415, No. 1, 247--268 (2014; Zbl 1330.46025) Full Text: DOI arXiv
Bi, Yan; Chen, Guanggui; Xu, Yanyan; Gan, Ying Probabilistic and average Kolmogorov widths of Sobolev space \(W^r_2(T)\) in space \(S_q(T)\). (Chinese. English summary) Zbl 1313.41067 J. Sichuan Norm. Univ., Nat. Sci. 37, No. 4, 487-492 (2014). MSC: 41A65 46E39 PDFBibTeX XMLCite \textit{Y. Bi} et al., J. Sichuan Norm. Univ., Nat. Sci. 37, No. 4, 487--492 (2014; Zbl 1313.41067) Full Text: DOI
Shan, Lin Approximation properties and generalized rapid decay. (Chinese. English summary) Zbl 1299.46025 Chin. Ann. Math., Ser. A 34, No. 5, 621-626 (2013). MSC: 46B85 46L89 20F69 PDFBibTeX XMLCite \textit{L. Shan}, Chin. Ann. Math., Ser. A 34, No. 5, 621--626 (2013; Zbl 1299.46025)
Gottlieb, Lee-Ad; Krauthgamer, Robert Proximity algorithms for nearly doubling spaces. (English) Zbl 1310.68240 SIAM J. Discrete Math. 27, No. 4, 1759-1769 (2013). MSC: 68W25 05C12 46B85 68W40 PDFBibTeX XMLCite \textit{L.-A. Gottlieb} and \textit{R. Krauthgamer}, SIAM J. Discrete Math. 27, No. 4, 1759--1769 (2013; Zbl 1310.68240) Full Text: DOI
Tian, Xiaochuan; Du, Qiand Analysis and comparison of different approximations to nonlocal diffusion and linear peridynamic equations. (English) Zbl 1295.82021 SIAM J. Numer. Anal. 51, No. 6, 3458-3482 (2013). Reviewer: Pavel Burda (Praha) MSC: 82C21 65R20 65M60 46N20 45A05 65M06 82-08 PDFBibTeX XMLCite \textit{X. Tian} and \textit{Q. Du}, SIAM J. Numer. Anal. 51, No. 6, 3458--3482 (2013; Zbl 1295.82021) Full Text: DOI
Li, Sean; Naor, Assaf Discretization and affine approximation in high dimensions. (English) Zbl 1291.46021 Isr. J. Math. 197, 107-129 (2013). Reviewer: Gilles Godefroy (Paris) MSC: 46B85 46B80 PDFBibTeX XMLCite \textit{S. Li} and \textit{A. Naor}, Isr. J. Math. 197, 107--129 (2013; Zbl 1291.46021) Full Text: DOI arXiv
Smyth, Clifford Equilateral sets in \(\ell_{p}^{d}\). (English) Zbl 1276.52020 Pach, János (ed.), Thirty essays on geometric graph theory. Berlin: Springer (ISBN 978-1-4614-0109-4/hbk; 978-1-4614-0110-0/ebook). 483-487 (2013). MSC: 52C17 41A10 46B20 52A21 PDFBibTeX XMLCite \textit{C. Smyth}, in: Thirty essays on geometric graph theory. Berlin: Springer. 483--487 (2013; Zbl 1276.52020) Full Text: DOI
Luschgy, Harald Martingales in discrete time. Theory and applications. (Martingale in diskreter Zeit. Theorie und Anwendungen.) (German) Zbl 1262.60002 Berlin: Springer Spektrum (ISBN 978-3-642-29960-5/pbk; 978-3-642-29961-2/ebook). xiv, 458 p. (2013). Reviewer: Heinrich Hering (Rockenberg) MSC: 60-01 60G42 60J80 60J85 60J05 60G09 62L20 91G20 46B15 PDFBibTeX XMLCite \textit{H. Luschgy}, Martingale in diskreter Zeit. Theorie und Anwendungen. Berlin: Springer Spektrum (2013; Zbl 1262.60002) Full Text: DOI
Castro, L. P.; Saitoh, S.; Sawano, Y.; Simões, A. M. General inhomogeneous discrete linear partial differential equations with constant coefficients on the whole spaces. (English) Zbl 1273.35017 Complex Anal. Oper. Theory 6, No. 1, 307-324 (2012). MSC: 35A22 35C15 35E99 46E22 47A52 PDFBibTeX XMLCite \textit{L. P. Castro} et al., Complex Anal. Oper. Theory 6, No. 1, 307--324 (2012; Zbl 1273.35017) Full Text: DOI
D’yakonov, A. G. Criteria for the singularity of a pairwise \( l_1\)-distance matrix and their generalizations. (English. Russian original) Zbl 1253.15008 Izv. Math. 76, No. 3, 517-534 (2012); translation from Izv. Ross. Akad. Nauk, Ser. Mat 76, No. 3, 39-110 (2012). Reviewer: Qing-Wen Wang (Shanghai) MSC: 15A09 41A05 46B85 65D05 94A15 PDFBibTeX XMLCite \textit{A. G. D'yakonov}, Izv. Math. 76, No. 3, 517--534 (2012; Zbl 1253.15008); translation from Izv. Ross. Akad. Nauk, Ser. Mat 76, No. 3, 39--110 (2012) Full Text: DOI
Pisier, Gilles Grothendieck’s theorem, past and present. (English) Zbl 1244.46006 Bull. Am. Math. Soc., New Ser. 49, No. 2, 237-323 (2012). Reviewer: Dirk Werner (Berlin) MSC: 46B28 46L05 46L07 46B07 05C12 46B85 68W25 81P40 PDFBibTeX XMLCite \textit{G. Pisier}, Bull. Am. Math. Soc., New Ser. 49, No. 2, 237--323 (2012; Zbl 1244.46006) Full Text: DOI arXiv
Castro, L. P.; Saitoh, S. Natural outputs and global inputs of linear systems with a finite number of input data. (English) Zbl 1237.44004 Appl. Anal. 91, No. 1-2, 225-236 (2012). MSC: 44A15 46E22 35K05 35L05 35A22 PDFBibTeX XMLCite \textit{L. P. Castro} and \textit{S. Saitoh}, Appl. Anal. 91, No. 1--2, 225--236 (2012; Zbl 1237.44004) Full Text: DOI
Langer, Ulrich (ed.); Schanz, Martin (ed.); Steinbach, Olaf (ed.); Wendland, Wolfgang L. (ed.) Fast boundary element methods in engineering and industrial applications. (English) Zbl 1235.65005 Lecture Notes in Applied and Computational Mechanics 63. Berlin: Springer (ISBN 978-3-642-25669-1/hbk; 978-3-642-25670-7/ebook). xi, 269 p. (2012). MSC: 65-06 65M38 65N38 65Z05 78-06 78A55 78M15 46E39 45L99 00B15 PDFBibTeX XMLCite \textit{U. Langer} (ed.) et al., Fast boundary element methods in engineering and industrial applications. Berlin: Springer (2012; Zbl 1235.65005) Full Text: DOI
Agamaliyev, Namik Ch.; Jabiyev, Taghi T. Riesz-Thorin-type theorems for Besov type spaces. (Riesz-Torin type theorems for Besov type spaces.) (English) Zbl 1463.46063 J. Contemp. Appl. Math. 1, No. 2, 17-21 (2011). MSC: 46E39 41A15 PDFBibTeX XMLCite \textit{N. Ch. Agamaliyev} and \textit{T. T. Jabiyev}, J. Contemp. Appl. Math. 1, No. 2, 17--21 (2011; Zbl 1463.46063)
Cheeger, Jeff; Kleiner, Bruce; Naor, Assaf Compression bounds for Lipschitz maps from the Heisenberg group to \(L_{1}\). (English) Zbl 1247.46020 Acta Math. 207, No. 2, 291-373 (2011). Reviewer: Mikhail Ostrovskii (Queens) MSC: 46B85 05C12 20F65 22E30 68W25 PDFBibTeX XMLCite \textit{J. Cheeger} et al., Acta Math. 207, No. 2, 291--373 (2011; Zbl 1247.46020) Full Text: DOI arXiv
Gournay, Antoine Widths of \(l^{p}\)-balls. (English) Zbl 1241.41013 Houston J. Math. 37, No. 4, 1227-1248 (2011). Reviewer: T. D. Narang (Amritsar) MSC: 41A46 46B20 52C35 46N99 PDFBibTeX XMLCite \textit{A. Gournay}, Houston J. Math. 37, No. 4, 1227--1248 (2011; Zbl 1241.41013) Full Text: arXiv Link
Abraham, Ittai; Bartal, Yair; Neiman, Ofer Advances in metric embedding theory. (English) Zbl 1250.46016 Adv. Math. 228, No. 6, 3026-3126 (2011). Reviewer: Mikhail Ostrovskii (Queens) MSC: 46B85 05C12 54E35 68W25 PDFBibTeX XMLCite \textit{I. Abraham} et al., Adv. Math. 228, No. 6, 3026--3126 (2011; Zbl 1250.46016) Full Text: DOI
Naor, Assaf \(L_{1}\) embeddings of the Heisenberg group and fast estimation of graph isoperimetry. (English) Zbl 1232.46021 Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. III: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-33-5/hbk; 978-81-85931-08-3/hbk; 978-981-4324-30-4/set; 978-981-4324-35-9/ebook). 1549-1575 (2011). Reviewer: Mikhail Ostrovskii (Queens) MSC: 46B85 05C12 20F65 30L05 46B80 51F99 68W25 PDFBibTeX XMLCite \textit{A. Naor}, in: Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19--27, 2010. Vol. III: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency. 1549--1575 (2011; Zbl 1232.46021) Full Text: arXiv Link
Geiss, Stefan; Gobet, Emmanuel Fractional smoothness and applications in finance. (English) Zbl 1236.91132 Di Nunno, Giulia (ed.) et al., Advanced mathematical methods for finance. Berlin: Springer (ISBN 978-3-642-18411-6/hbk; 978-3-642-18412-3/ebook). 313-331 (2011). Reviewer: Klaus Schürger (Bonn) MSC: 91G20 91G10 41A25 46B70 60H05 60H07 PDFBibTeX XMLCite \textit{S. Geiss} and \textit{E. Gobet}, in: Advanced mathematical methods for finance. Berlin: Springer. 313--331 (2011; Zbl 1236.91132) Full Text: DOI arXiv
Sasakura, Naoki Tensor models as theory of dynamical fuzzy spaces and general relativity. (English) Zbl 1222.83149 Dobrev, Vladimir (ed.), Lie theory and its applications in physics. VIII international workshop, Varna, Bulgaria, June 15–21, 2009. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0788-6/pbk). AIP Conference Proceedings 1243, 76-86 (2010). Reviewer: Gabriel Teodor Pripoae (Bucureşti) MSC: 83D05 26E50 46S40 08A72 83C45 83C80 83C27 83-08 83C25 15A72 PDFBibTeX XMLCite \textit{N. Sasakura}, AIP Conf. Proc. 1243, 76--86 (2010; Zbl 1222.83149) Full Text: DOI arXiv
Gottlieb, Lee-Ad; Krauthgamer, Robert Proximity algorithms for nearly-doubling spaces. (English) Zbl 1304.68215 Serna, Maria (ed.) et al., Approximation, randomization, and combinatorial optimization. Algorithms and techniques. 13th international workshop, APPROX 2010, and 14th international workshop, RANDOM 2010, Barcelona, Spain, September 1–3, 2010. Proceedings. Berlin: Springer (ISBN 978-3-642-15368-6/pbk). Lecture Notes in Computer Science 6302, 192-204 (2010). MSC: 68W25 05C12 46B85 68W40 PDFBibTeX XMLCite \textit{L.-A. Gottlieb} and \textit{R. Krauthgamer}, Lect. Notes Comput. Sci. 6302, 192--204 (2010; Zbl 1304.68215) Full Text: DOI Link
Skalski, Adam; Zacharias, Joachim Approximation properties and entropy estimates for crossed products by actions of amenable discrete quantum groups. (English) Zbl 1202.46072 J. Lond. Math. Soc., II. Ser. 82, No. 1, 184-202 (2010). MSC: 46L35 46L05 46B28 46L55 PDFBibTeX XMLCite \textit{A. Skalski} and \textit{J. Zacharias}, J. Lond. Math. Soc., II. Ser. 82, No. 1, 184--202 (2010; Zbl 1202.46072) Full Text: DOI arXiv
Belton, Alexander C. R. Random-walk approximation to vacuum cocycles. (English) Zbl 1192.81211 J. Lond. Math. Soc., II. Ser. 81, No. 2, 412-434 (2010). Reviewer: Adam Skalski (Lancaster) MSC: 81S25 46L53 60F17 PDFBibTeX XMLCite \textit{A. C. R. Belton}, J. Lond. Math. Soc., II. Ser. 81, No. 2, 412--434 (2010; Zbl 1192.81211) Full Text: DOI arXiv
Gournay, Antoine A dynamical approach to von Neumann dimension. (English) Zbl 1183.37012 Discrete Contin. Dyn. Syst. 26, No. 3, 967-987 (2010). MSC: 37A35 43A65 70G60 37C45 41A46 43A15 46E30 PDFBibTeX XMLCite \textit{A. Gournay}, Discrete Contin. Dyn. Syst. 26, No. 3, 967--987 (2010; Zbl 1183.37012) Full Text: DOI arXiv
Andoni, Alexandr; Indyk, Piotr; Krauthgamer, Robert Overcoming the \(\ell_1\) non-embeddability barrier: algorithms for product metrics. (English) Zbl 1422.68281 Mathieu, Claire (ed.), Proceedings of the 20th annual ACM-SIAM symposium on discrete algorithms, SODA 2009, New York, NY, USA, January 4–6, 2009. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); New York, NY: Association for Computing Machinery (ACM). 865-874 (2009). MSC: 68W25 46B85 68P05 PDFBibTeX XMLCite \textit{A. Andoni} et al., in: Proceedings of the 20th annual ACM-SIAM symposium on discrete algorithms, SODA 2009, New York, NY, USA, January 4--6, 2009. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); New York, NY: Association for Computing Machinery (ACM). 865--874 (2009; Zbl 1422.68281) Full Text: Link
Nagai, Atsushi; Kametaka, Yoshinori; Watanabe, Kohtaro The best constant of discrete Sobolev inequality. (English) Zbl 1191.46032 J. Phys. A, Math. Theor. 42, No. 45, Article ID 454014, 12 p. (2009). MSC: 46E39 41A44 PDFBibTeX XMLCite \textit{A. Nagai} et al., J. Phys. A, Math. Theor. 42, No. 45, Article ID 454014, 12 p. (2009; Zbl 1191.46032) Full Text: DOI
Pesenson, Isaac Paley-Wiener approximations and multiscale approximations in Sobolev and Besov spaces on manifolds. (English) Zbl 1171.42016 J. Geom. Anal. 19, No. 2, 390-419 (2009). MSC: 42C05 41A17 41A65 43A85 46C99 PDFBibTeX XMLCite \textit{I. Pesenson}, J. Geom. Anal. 19, No. 2, 390--419 (2009; Zbl 1171.42016) Full Text: DOI
Pesenson, Isaac A discrete Helgason-Fourier transform for Sobolev and Besov functions on noncompact symmetric spaces. (English) Zbl 1256.43004 Ólafsson, Gestur (ed.) et al., Radon transforms, geometry, and wavelets. AMS special session, New Orleans, LA, USA, January 7–8, 2007 and workshop, Baton Rouge, LA, USA, January 4–5, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4327-7/pbk). Contemporary Mathematics 464, 231-247 (2008). MSC: 43A85 22E30 42B35 46E35 PDFBibTeX XMLCite \textit{I. Pesenson}, Contemp. Math. 464, 231--247 (2008; Zbl 1256.43004) Full Text: DOI arXiv
Zhang, Fayong Some interpolation inequalities to spaces of discrete (grid) functions. (English) Zbl 1199.46089 J. Nat. Sci. Heilongjiang Univ. 25, No. 6, 887-891 (2008). MSC: 46E39 41A17 PDFBibTeX XMLCite \textit{F. Zhang}, J. Nat. Sci. Heilongjiang Univ. 25, No. 6, 887--891 (2008; Zbl 1199.46089)
Tropp, Joel A. On the linear independence of spikes and sines. (English) Zbl 1184.46012 J. Fourier Anal. Appl. 14, No. 5-6, 838-858 (2008). MSC: 46B09 47A11 15B52 41A46 42A61 PDFBibTeX XMLCite \textit{J. A. Tropp}, J. Fourier Anal. Appl. 14, No. 5--6, 838--858 (2008; Zbl 1184.46012) Full Text: DOI arXiv Link
Xie, Shusen; Kim, Seokchan; Woo, Gyungsoo; Yi, Sucheol A numerical method for the generalized regularized long wave equation using a reproducing kernel function. (English) Zbl 1181.65125 SIAM J. Sci. Comput. 30, No. 5, 2263-2285 (2008). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M60 65M80 65M20 46E22 35L75 35Q53 65M12 PDFBibTeX XMLCite \textit{S. Xie} et al., SIAM J. Sci. Comput. 30, No. 5, 2263--2285 (2008; Zbl 1181.65125) Full Text: DOI
Wen, Xin High order numerical quadratures to one dimensional delta function integrals. (English) Zbl 1170.65008 SIAM J. Sci. Comput. 30, No. 4, 1825-1846 (2008). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D15 46F10 PDFBibTeX XMLCite \textit{X. Wen}, SIAM J. Sci. Comput. 30, No. 4, 1825--1846 (2008; Zbl 1170.65008) Full Text: DOI
Böhmer, Klaus On finite element methods for fully nonlinear elliptic equations of second order. (English) Zbl 1166.35322 SIAM J. Numer. Anal. 46, No. 3, 1212-1249 (2008). MSC: 35J20 35J25 35J60 35J65 41A15 46N40 47N40 65D18 65H10 65N12 65N22 65N30 PDFBibTeX XMLCite \textit{K. Böhmer}, SIAM J. Numer. Anal. 46, No. 3, 1212--1249 (2008; Zbl 1166.35322) Full Text: DOI
Shen, S.; Liu, Fawang; Anh, V. Fundamental solution and discrete random walk model for a time-space fractional diffusion equation of distributed order. (English) Zbl 1157.65520 J. Appl. Math. Comput. 28, No. 1-2, 147-164 (2008). MSC: 65R20 45K05 26A33 65M06 65G50 46F10 60H25 PDFBibTeX XMLCite \textit{S. Shen} et al., J. Appl. Math. Comput. 28, No. 1--2, 147--164 (2008; Zbl 1157.65520) Full Text: DOI Link
Edmunds, David E.; Triebel, Hans Function spaces, entropy numbers, differential operators. Paperback reprint of the hardback edition 1996. (English) Zbl 1143.46001 Cambridge Tracts in Mathematics 120. Cambridge: Cambridge University Press (ISBN 978-0-521-05975-6/pbk). xi, 252 p. (2008). MSC: 46-02 46E35 46E39 47B06 35P20 PDFBibTeX XMLCite \textit{D. E. Edmunds} and \textit{H. Triebel}, Function spaces, entropy numbers, differential operators. Paperback reprint of the hardback edition 1996. Cambridge: Cambridge University Press (2008; Zbl 1143.46001)
Beale, J. Thomas A proof that a discrete delta function is second-order accurate. (English) Zbl 1136.65017 J. Comput. Phys. 227, No. 4, 2195-2197 (2008). MSC: 65D15 46F10 PDFBibTeX XMLCite \textit{J. T. Beale}, J. Comput. Phys. 227, No. 4, 2195--2197 (2008; Zbl 1136.65017) Full Text: DOI
Dutkay, Dorin Ervin; Jorgensen, Palle E. T. Spectral duality for a class of unbounded operators. arXiv:0808.0485 Preprint, arXiv:0808.0485 [math.FA] (2008). MSC: 18A30 31C20 34L16 34A45 37A50 46E22 47A75 47B39 BibTeX Cite \textit{D. E. Dutkay} and \textit{P. E. T. Jorgensen}, ``Spectral duality for a class of unbounded operators'', Preprint, arXiv:0808.0485 [math.FA] (2008) Full Text: arXiv OA License
Grosu, Corina Kronecker products and convex optimisation DCT related. (English) Zbl 1170.47313 Păltineanu, Gavriil (ed.) et al., Trends and challenges in applied mathematics. Conference proceedings of the international conference, ICTCAM 2007, Bucharest, Romania, June 20–23, 2007. Bucharest: Matrix Rom (ISBN 978-973-755-283-9/pbk). 201-204 (2007). Reviewer: Manfred Tasche (Rostock) MSC: 47N10 94A08 65T40 47D03 46M05 42A16 PDFBibTeX XMLCite \textit{C. Grosu}, in: Trends and challenges in applied mathematics. Conference proceedings of the international conference, ICTCAM 2007, Bucharest, Romania, June 20--23, 2007. Bucharest: Matrix Rom. 201--204 (2007; Zbl 1170.47313)
Abraham, Ittai; Bartal, Yair; Neimany, Ofer Advances in metric embedding theory. (English) Zbl 1303.68063 Kleinberg, Jon M. (ed.), Proceedings of the 38th annual ACM symposium on theory of computing, STOC 2006. Seattle, WA, USA, May 21–23, 2006. New York, NY: ACM Press (ISBN 1-59593-134-1). 271-286 (2006). MSC: 68Q25 46B85 54E35 68W25 PDFBibTeX XMLCite \textit{I. Abraham} et al., in: Proceedings of the 38th annual ACM symposium on theory of computing, STOC 2006. Seattle, WA, USA, May 21--23, 2006. New York, NY: ACM Press. 271--286 (2006; Zbl 1303.68063) Full Text: DOI
Bardaro, Carlo; Mantellini, Ilaria Estimates of the approximation error for abstract sampling type operators in Orlicz spaces. (English) Zbl 1225.47053 Funct. Approximatio, Comment. Math. 36, 45-70 (2006). MSC: 47G10 47H30 26D15 46E30 46E35 41A65 42B20 PDFBibTeX XMLCite \textit{C. Bardaro} and \textit{I. Mantellini}, Funct. Approximatio, Comment. Math. 36, 45--70 (2006; Zbl 1225.47053) Full Text: DOI Euclid
Del Moral, Pierre; Miclo, Laurent Dynamic annealing of Feynman-Kac type: accurate results and conjectures. (Dynamiques recuites de type Feynman-Kac: résultats précis et conjectures.) (French) Zbl 1183.37010 ESAIM, Probab. Stat. 10, 76-140 (2006). MSC: 37A30 46E39 47D08 60F10 60J10 70K20 90C59 68T05 PDFBibTeX XMLCite \textit{P. Del Moral} and \textit{L. Miclo}, ESAIM, Probab. Stat. 10, 76--140 (2006; Zbl 1183.37010) Full Text: DOI Numdam EuDML
Litvak, A. E.; Milman, V. D.; Pajor, A.; Tomczak-Jaegermann, N. Entropy extension. (English. Russian original) Zbl 1118.52014 Funct. Anal. Appl. 40, No. 4, 298-303 (2006); translation from Funkts. Anal. Prilozh. 40, No. 4, 65-71 (2006). Reviewer: Serguey M. Pokas (Odessa) MSC: 52A40 52A22 37B40 47B06 54C70 52C17 46B07 PDFBibTeX XMLCite \textit{A. E. Litvak} et al., Funct. Anal. Appl. 40, No. 4, 298--303 (2006; Zbl 1118.52014); translation from Funkts. Anal. Prilozh. 40, No. 4, 65--71 (2006) Full Text: DOI
Szarek, Stanislaw J. Convexity, complexity, and high dimensions. (English) Zbl 1120.46004 Sanz-Solé, Marta (ed.) et al., Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22–30, 2006. Volume II: Invited lectures. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-022-7/hbk). 1599-1621 (2006). Reviewer: Yuri A. Brudnyi (Haifa) MSC: 46B09 47B06 52A21 52C17 15B52 90C25 94B75 PDFBibTeX XMLCite \textit{S. J. Szarek}, in: Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22--30, 2006. Volume II: Invited lectures. Zürich: European Mathematical Society (EMS). 1599--1621 (2006; Zbl 1120.46004)
Khot, Subhash; Naor, Assaf Nonembeddability theorems via Fourier analysis. (English) Zbl 1102.46051 Math. Ann. 334, No. 4, 821-852 (2006). Reviewer: Krzysztof Oleszkiewicz (Warsaw) MSC: 46T20 54E99 68W25 46B03 PDFBibTeX XMLCite \textit{S. Khot} and \textit{A. Naor}, Math. Ann. 334, No. 4, 821--852 (2006; Zbl 1102.46051) Full Text: DOI arXiv
Zacharias, Joachim On the invariant translation approximation property for discrete groups. (English) Zbl 1099.46038 Proc. Am. Math. Soc. 134, No. 7, 1909-1916 (2006). MSC: 46L06 46L07 46L85 20F69 PDFBibTeX XMLCite \textit{J. Zacharias}, Proc. Am. Math. Soc. 134, No. 7, 1909--1916 (2006; Zbl 1099.46038) Full Text: DOI
Hackbusch, W.; Khoromskij, B. N. Low-rank Kronecker-product approximation to multi-dimensional nonlocal operators II. HKT representation of certain operators. (English) Zbl 1087.65050 Computing 76, No. 3-4, 203-225 (2006). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65J05 65F50 65F30 46B28 47A80 65R20 45P05 65N38 PDFBibTeX XMLCite \textit{W. Hackbusch} and \textit{B. N. Khoromskij}, Computing 76, No. 3--4, 203--225 (2006; Zbl 1087.65050) Full Text: DOI
Papini, Pier Luigi Equilateral, diametral, centered sets and subsets of spheres. (English) Zbl 1080.46009 Extr. Math. 19, No. 2, 261-267 (2004). Reviewer: David Yost (Ballarat) MSC: 46B20 41A65 52C99 PDFBibTeX XMLCite \textit{P. L. Papini}, Extr. Math. 19, No. 2, 261--267 (2004; Zbl 1080.46009) Full Text: EuDML
Hinrichs, Aicke; Richter, Christian Tilings, packings, coverings, and the approximation of functions. (English) Zbl 1061.52012 Math. Nachr. 267, 37-45 (2004). Reviewer: Martin Henk (Magdeburg) MSC: 52C17 41A65 52C22 52C25 46B20 PDFBibTeX XMLCite \textit{A. Hinrichs} and \textit{C. Richter}, Math. Nachr. 267, 37--45 (2004; Zbl 1061.52012) Full Text: DOI
Artstein, Shiri; Milman, Vitali D.; Szarek, Stanislaw J. Duality of metric entropy in Euclidean space. (English) Zbl 1042.52002 C. R., Math., Acad. Sci. Paris 337, No. 11, 711-714 (2003). Reviewer: Johann Linhart (Salzburg) MSC: 52A21 46B20 46B07 47B06 52C17 52A20 PDFBibTeX XMLCite \textit{S. Artstein} et al., C. R., Math., Acad. Sci. Paris 337, No. 11, 711--714 (2003; Zbl 1042.52002) Full Text: DOI
Artstein, Shiri; Milman, Vitali D.; Szarek, Stanislaw J. More on the duality conjecture for entropy numbers. (English) Zbl 1042.52001 C. R., Math., Acad. Sci. Paris 336, No. 6, 479-482 (2003). Reviewer: Johann Linhart (Salzburg) MSC: 52A21 46B20 46B07 47B06 52C17 52A20 PDFBibTeX XMLCite \textit{S. Artstein} et al., C. R., Math., Acad. Sci. Paris 336, No. 6, 479--482 (2003; Zbl 1042.52001) Full Text: DOI
Junge, Marius; Ruan, Zhong-Jin Approximation properties for noncommutative \(L_p\)-spaces associated with discrete groups. (English) Zbl 1042.46030 Duke Math. J. 117, No. 2, 313-341 (2003). Reviewer: Fedor Sukochev (Adelaide) MSC: 46L07 46L51 22D05 PDFBibTeX XMLCite \textit{M. Junge} and \textit{Z.-J. Ruan}, Duke Math. J. 117, No. 2, 313--341 (2003; Zbl 1042.46030) Full Text: DOI arXiv
Solomyak, Michael On approximation of functions from Sobolev spaces on metric graphs. (English) Zbl 1027.46037 J. Approximation Theory 121, No. 2, 199-219 (2003). Reviewer: Stanislaw Wedrychowicz (Rzeszów) MSC: 46E39 47B06 PDFBibTeX XMLCite \textit{M. Solomyak}, J. Approx. Theory 121, No. 2, 199--219 (2003; Zbl 1027.46037) Full Text: DOI arXiv
Kolountzakis, Mihail N.; Papadimitrakis, Michael A class of non-convex polytopes that admit no orthonormal basis of exponentials. (English) Zbl 1047.52013 Ill. J. Math. 46, No. 4, 1227-1232 (2002). Reviewer: P. McMullen (London) MSC: 52C22 41A65 42B05 46E30 PDFBibTeX XMLCite \textit{M. N. Kolountzakis} and \textit{M. Papadimitrakis}, Ill. J. Math. 46, No. 4, 1227--1232 (2002; Zbl 1047.52013) Full Text: arXiv
Irodova, I. P.; Nevskiĭ, M. V. Dyadic Besov spaces and other problems in the theory of approximation. (Russian) Zbl 1088.41500 Durnev, V.G. (ed.), Mathematics in Yaroslavl’ University. Collection of survey articles. On the occasion of the 25th anniversary of the Department of Mathematics. Yaroslavl’: Yaroslavskij Gosudarstvennyj Universitet Im. P. G. Demidova. Matematicheskij Fakul’tet (ISBN 5-8397-0150-5/pbk). 115-131 (2001). Reviewer: Bl. Sendov (MR1875794) MSC: 41A30 46E35 46E39 PDFBibTeX XMLCite \textit{I. P. Irodova} and \textit{M. V. Nevskiĭ}, in: Matematika v Yaroslavskom universitete. Sbornik obzornykh statej. K 25-letiyu matematicheskogo fakul'teta. Yaroslavl': Yaroslavskij Gosudarstvennyj Universitet Im. P. G. Demidova. Matematicheskij Fakul'tet. 115--131 (2001; Zbl 1088.41500)
Gordon, E. I.; Kusraev, A. G.; Kutateladze, S. S. Infinitesimal analysis. Part 2. (Инфинитезимальный анализ. Часть 2.) (Russian) Zbl 1013.46004 Nestandartnye Metody Analiza. Novosibirsk: Izdatel’stvo Instituta Matematiki Im. S. L. Soboleva SO RAN. viii, 247 p. (2001). Reviewer: Victor Alexandrov (Novosibirsk) MSC: 46-02 46S20 03H05 43A75 49J52 PDFBibTeX XMLCite \textit{E. I. Gordon} et al., Инфинитезимальный анализ. Часть 2 (Russian). Novosibirsk: Izdatel'stvo Instituta Matematiki Im. S. L. Soboleva SO RAN (2001; Zbl 1013.46004)
Irodova, I. P. Dyadic Besov spaces. (English. Russian original) Zbl 1088.41501 St. Petersbg. Math. J. 12, No. 3, 379-405 (2001); translation from Algebra Anal. 12, No. 3, 40-80 (2001). Reviewer: Bl. Sendov (MR1778190) MSC: 41A65 46E39 PDFBibTeX XMLCite \textit{I. P. Irodova}, St. Petersbg. Math. J. 12, No. 3, 379--405 (2001; Zbl 1088.41501); translation from Algebra Anal. 12, No. 3, 40--80 (2001)
Cantrell, C. D. Modern mathematical methods for physicists and engineers. (English) Zbl 0983.00005 Cambridge: Cambridge University Press. xx, 763 p. (2000). Reviewer: E.Elizalde (Barcelona) MSC: 00A06 15-01 33-01 46-01 65-01 PDFBibTeX XMLCite \textit{C. D. Cantrell}, Modern mathematical methods for physicists and engineers. Cambridge: Cambridge University Press (2000; Zbl 0983.00005)
Kolountzakis, Mihail N. Non-symmetric convex domains have no basis of exponentials. (English) Zbl 0972.52011 Ill. J. Math. 44, No. 3, 542-550 (2000). Reviewer: Ganesh Datta Dikshit (Auckland) MSC: 52C22 52A20 42B05 05B45 42B10 46E30 41A65 PDFBibTeX XMLCite \textit{M. N. Kolountzakis}, Ill. J. Math. 44, No. 3, 542--550 (2000; Zbl 0972.52011) Full Text: arXiv
Gregory, John; Yang, George A \(C^\infty\) numerical method for the basic problem in the calculus of variations. (English) Zbl 0987.49018 Util. Math. 56, 79-95 (1999). MSC: 49M25 65D99 42A82 46F05 PDFBibTeX XMLCite \textit{J. Gregory} and \textit{G. Yang}, Util. Math. 56, 79--95 (1999; Zbl 0987.49018)
Bertoluzza, Silvia The discrete commutator property of approximation spaces. (English. Abridged French version) Zbl 0940.65053 C. R. Acad. Sci., Paris, Sér. I, Math. 329, No. 12, 1097-1102 (1999). MSC: 65J05 65M60 65M15 65N30 65N15 46B20 46C05 PDFBibTeX XMLCite \textit{S. Bertoluzza}, C. R. Acad. Sci., Paris, Sér. I, Math. 329, No. 12, 1097--1102 (1999; Zbl 0940.65053) Full Text: DOI
Jia, Rong-Qing Stability of the shifts of a finite number of functions. (English) Zbl 0957.42019 J. Approximation Theory 95, No. 2, 194-202 (1998). Reviewer: Ganesh Datta Dikshit (Auckland) MSC: 42C40 42B30 41A35 46F15 46E30 PDFBibTeX XMLCite \textit{R.-Q. Jia}, J. Approx. Theory 95, No. 2, 194--202 (1998; Zbl 0957.42019) Full Text: DOI Link
Gruber, Peter M. Asymptotic estimates for best and stepwise approximation of convex bodies. IV. (English) Zbl 0927.52009 Forum Math. 10, No. 6, 665-686 (1998). MSC: 52A27 52A15 41A60 46B28 52A41 52C15 52C20 53B21 41A40 PDFBibTeX XMLCite \textit{P. M. Gruber}, Forum Math. 10, No. 6, 665--686 (1998; Zbl 0927.52009) Full Text: DOI EuDML