Hashemi, Abolfazl; Schaeffer, Hayden; Shi, Robert; Topcu, Ufuk; Tran, Giang; Ward, Rachel Generalization bounds for sparse random feature expansions. (English) Zbl 1505.65039 Appl. Comput. Harmon. Anal. 62, 310-330 (2023). MSC: 65D15 68Q32 46N10 PDFBibTeX XMLCite \textit{A. Hashemi} et al., Appl. Comput. Harmon. Anal. 62, 310--330 (2023; Zbl 1505.65039) Full Text: DOI arXiv
San Antolín, A.; Zalik, R. A. Two families of compactly supported Parseval framelets in \(L^2( \mathbb{R}^d)\). (English) Zbl 1504.42103 Appl. Comput. Harmon. Anal. 60, 512-527 (2022). Reviewer: Ashok Kumar Sah (New Delhi) MSC: 42C40 42A38 PDFBibTeX XMLCite \textit{A. San Antolín} and \textit{R. A. Zalik}, Appl. Comput. Harmon. Anal. 60, 512--527 (2022; Zbl 1504.42103) Full Text: DOI
Dereventsov, A. V.; Temlyakov, V. N. Biorthogonal greedy algorithms in convex optimization. (English) Zbl 1495.90129 Appl. Comput. Harmon. Anal. 60, 489-511 (2022). MSC: 90C25 90C48 PDFBibTeX XMLCite \textit{A. V. Dereventsov} and \textit{V. N. Temlyakov}, Appl. Comput. Harmon. Anal. 60, 489--511 (2022; Zbl 1495.90129) Full Text: DOI arXiv
Bermanis, Amit; Salhov, Moshe; Averbuch, Amir Geometric component analysis and its applications to data analysis. (English) Zbl 1515.68282 Appl. Comput. Harmon. Anal. 54, 20-43 (2021). MSC: 68T09 PDFBibTeX XMLCite \textit{A. Bermanis} et al., Appl. Comput. Harmon. Anal. 54, 20--43 (2021; Zbl 1515.68282) Full Text: DOI
Casazza, Peter G.; Chen, Xuemei; Lynch, Richard G. Preserving injectivity under subgaussian mappings and its application to compressed sensing. (English) Zbl 1448.94053 Appl. Comput. Harmon. Anal. 49, No. 2, 451-470 (2020). MSC: 94A12 62-08 68W20 60E15 90C25 PDFBibTeX XMLCite \textit{P. G. Casazza} et al., Appl. Comput. Harmon. Anal. 49, No. 2, 451--470 (2020; Zbl 1448.94053) Full Text: DOI arXiv
Hansen, A. C.; Thesing, L. On the stable sampling rate for binary measurements and wavelet reconstruction. (English) Zbl 1454.94032 Appl. Comput. Harmon. Anal. 48, No. 2, 630-654 (2020). MSC: 94A20 42C40 94A12 PDFBibTeX XMLCite \textit{A. C. Hansen} and \textit{L. Thesing}, Appl. Comput. Harmon. Anal. 48, No. 2, 630--654 (2020; Zbl 1454.94032) Full Text: DOI arXiv
Butzer, Paul L.; Schmeisser, Gerhard; Stens, Rudolf L. The distance between the general Poisson summation formula and that for bandlimited functions; applications to quadrature formulae. (English) Zbl 1396.41028 Appl. Comput. Harmon. Anal. 45, No. 3, 597-615 (2018). MSC: 41A80 26A16 26A33 42A38 46E15 65D30 PDFBibTeX XMLCite \textit{P. L. Butzer} et al., Appl. Comput. Harmon. Anal. 45, No. 3, 597--615 (2018; Zbl 1396.41028) Full Text: DOI arXiv
Ankenman, Jerrod; Leeb, William Mixed Hölder matrix discovery via wavelet shrinkage and Calderón-Zygmund decompositions. (English) Zbl 1398.62080 Appl. Comput. Harmon. Anal. 45, No. 3, 551-596 (2018). MSC: 62G07 42C40 94A12 PDFBibTeX XMLCite \textit{J. Ankenman} and \textit{W. Leeb}, Appl. Comput. Harmon. Anal. 45, No. 3, 551--596 (2018; Zbl 1398.62080) Full Text: DOI
Fu, Xing; Yang, Dachun Wavelet characterizations of the atomic Hardy space \(H^{1}\) on spaces of homogeneous type. (English) Zbl 1381.42032 Appl. Comput. Harmon. Anal. 44, No. 1, 1-37 (2018). Reviewer: Yasuo Komori-Furuya (Kanagawa) MSC: 42B30 42C40 30L99 PDFBibTeX XMLCite \textit{X. Fu} and \textit{D. Yang}, Appl. Comput. Harmon. Anal. 44, No. 1, 1--37 (2018; Zbl 1381.42032) Full Text: DOI arXiv
Poon, Clarice Structure dependent sampling in compressed sensing: theoretical guarantees for tight frames. (English) Zbl 1422.94021 Appl. Comput. Harmon. Anal. 42, No. 3, 402-451 (2017). MSC: 94A20 94A12 42C40 PDFBibTeX XMLCite \textit{C. Poon}, Appl. Comput. Harmon. Anal. 42, No. 3, 402--451 (2017; Zbl 1422.94021) Full Text: DOI arXiv
Bouchot, Jean-Luc; Foucart, Simon; Hitczenko, Pawel Hard thresholding pursuit algorithms: number of iterations. (English) Zbl 1346.65012 Appl. Comput. Harmon. Anal. 41, No. 2, 412-435 (2016). MSC: 65F10 15A29 65F50 PDFBibTeX XMLCite \textit{J.-L. Bouchot} et al., Appl. Comput. Harmon. Anal. 41, No. 2, 412--435 (2016; Zbl 1346.65012) Full Text: DOI Link
Grohs, Philipp; Keiper, Sandra; Kutyniok, Gitta; Schäfer, Martin \(\alpha\)-Molecules. (English) Zbl 1342.42041 Appl. Comput. Harmon. Anal. 41, No. 1, 297-336 (2016). Reviewer: Ilona Iglewska-Nowak (Szczecin) MSC: 42C40 42C15 65T60 PDFBibTeX XMLCite \textit{P. Grohs} et al., Appl. Comput. Harmon. Anal. 41, No. 1, 297--336 (2016; Zbl 1342.42041) Full Text: DOI arXiv
Eftekhari, Armin; Wakin, Michael B. New analysis of manifold embeddings and signal recovery from compressive measurements. (English) Zbl 1345.94013 Appl. Comput. Harmon. Anal. 39, No. 1, 67-109 (2015). MSC: 94A12 94A29 53A07 62H12 68P30 PDFBibTeX XMLCite \textit{A. Eftekhari} and \textit{M. B. Wakin}, Appl. Comput. Harmon. Anal. 39, No. 1, 67--109 (2015; Zbl 1345.94013) Full Text: DOI arXiv
Calixto, Manuel; Guerrero, Julio; Roşca, Daniela Wavelet transform on the torus: a group theoretical approach. (English) Zbl 1309.42046 Appl. Comput. Harmon. Anal. 38, No. 1, 32-49 (2015). Reviewer: V. Leontiev (Ul’yanovsk) MSC: 42C40 42B10 44A20 PDFBibTeX XMLCite \textit{M. Calixto} et al., Appl. Comput. Harmon. Anal. 38, No. 1, 32--49 (2015; Zbl 1309.42046) Full Text: DOI arXiv
Davenport, Mark A.; Wakin, Michael B. Compressive sensing of analog signals using discrete prolate spheroidal sequences. (English) Zbl 1261.94016 Appl. Comput. Harmon. Anal. 33, No. 3, 438-472 (2012). MSC: 94A12 42C40 PDFBibTeX XMLCite \textit{M. A. Davenport} and \textit{M. B. Wakin}, Appl. Comput. Harmon. Anal. 33, No. 3, 438--472 (2012; Zbl 1261.94016) Full Text: DOI arXiv
Laska, Jason N.; Boufounos, Petros T.; Davenport, Mark A.; Baraniuk, Richard G. Democracy in action: quantization, saturation, and compressive sensing. (English) Zbl 1231.94045 Appl. Comput. Harmon. Anal. 31, No. 3, 429-443 (2011). MSC: 94A20 94A12 PDFBibTeX XMLCite \textit{J. N. Laska} et al., Appl. Comput. Harmon. Anal. 31, No. 3, 429--443 (2011; Zbl 1231.94045) Full Text: DOI
Gundy, Richard F.; Jonsson, Adam L. Scaling functions on \(\mathbb R^2\) for dilations of determinant \(\pm 2\). (English) Zbl 1233.94005 Appl. Comput. Harmon. Anal. 29, No. 1, 49-62 (2010). MSC: 94A12 42C15 65T40 PDFBibTeX XMLCite \textit{R. F. Gundy} and \textit{A. L. Jonsson}, Appl. Comput. Harmon. Anal. 29, No. 1, 49--62 (2010; Zbl 1233.94005) Full Text: DOI
Saab, Rayan; Yılmaz, Özgür Sparse recovery by non-convex optimization - instance optimality. (English) Zbl 1200.90158 Appl. Comput. Harmon. Anal. 29, No. 1, 30-48 (2010). Reviewer: Alberto Seeger (Avignon) MSC: 90C30 PDFBibTeX XMLCite \textit{R. Saab} and \textit{Ö. Yılmaz}, Appl. Comput. Harmon. Anal. 29, No. 1, 30--48 (2010; Zbl 1200.90158) Full Text: DOI
Chen, Weiqiang; Goh, Say Song Band-limited refinable functions for wavelets and framelets. (English) Zbl 1192.42021 Appl. Comput. Harmon. Anal. 28, No. 3, 338-345 (2010). Reviewer: Bin Han (Edmonton) MSC: 42C40 PDFBibTeX XMLCite \textit{W. Chen} and \textit{S. S. Goh}, Appl. Comput. Harmon. Anal. 28, No. 3, 338--345 (2010; Zbl 1192.42021) Full Text: DOI
DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw Instance-optimality in probability with an \(\ell _1\)-minimization decoder. (English) Zbl 1177.94104 Appl. Comput. Harmon. Anal. 27, No. 3, 275-288 (2009). Reviewer: Tzvetan Semerdjiev (Sofia) MSC: 94A13 94A12 94A20 PDFBibTeX XMLCite \textit{R. DeVore} et al., Appl. Comput. Harmon. Anal. 27, No. 3, 275--288 (2009; Zbl 1177.94104) Full Text: DOI
Forster, Brigitte; Blu, Thierry; Van De Ville, Dimitri; Unser, Michael Shift-invariant spaces from rotation-covariant functions. (English) Zbl 1257.42043 Appl. Comput. Harmon. Anal. 25, No. 2, 240-265 (2008). MSC: 42C15 41A15 46E15 PDFBibTeX XMLCite \textit{B. Forster} et al., Appl. Comput. Harmon. Anal. 25, No. 2, 240--265 (2008; Zbl 1257.42043) Full Text: DOI Link
Garrigós, Gustavo; Hernández, Eugenio; Martell, José María Wavelets, Orlicz spaces, and greedy bases. (English) Zbl 1215.42044 Appl. Comput. Harmon. Anal. 24, No. 1, 70-93 (2008). MSC: 42C40 41A17 46E30 PDFBibTeX XMLCite \textit{G. Garrigós} et al., Appl. Comput. Harmon. Anal. 24, No. 1, 70--93 (2008; Zbl 1215.42044) Full Text: DOI
Zalik, Richard A. Bases of translates and multiresolution analyses. (English) Zbl 1141.42025 Appl. Comput. Harmon. Anal. 24, No. 1, 41-57 (2008); corrigendum ibid. Anal. 29, No. 1, 121 (2010). MSC: 42C40 42C15 PDFBibTeX XMLCite \textit{R. A. Zalik}, Appl. Comput. Harmon. Anal. 24, No. 1, 41--57 (2008; Zbl 1141.42025) Full Text: DOI
Skopina, M. On construction of multivariate wavelets with vanishing moments. (English) Zbl 1106.42029 Appl. Comput. Harmon. Anal. 20, No. 3, 375-390 (2006). Reviewer: Bin Han (Edmonton) MSC: 42C40 PDFBibTeX XMLCite \textit{M. Skopina}, Appl. Comput. Harmon. Anal. 20, No. 3, 375--390 (2006; Zbl 1106.42029) Full Text: DOI
Forster, Brigitte; Blu, Thierry; Unser, Michael Complex B-splines. (English) Zbl 1092.41003 Appl. Comput. Harmon. Anal. 20, No. 2, 261-282 (2006). Reviewer: Yuly Makovoz (Lowell) MSC: 41A15 42C40 PDFBibTeX XMLCite \textit{B. Forster} et al., Appl. Comput. Harmon. Anal. 20, No. 2, 261--282 (2006; Zbl 1092.41003) Full Text: DOI Link
Nielsen, Morten Highly nonstationary wavelet packets. (English) Zbl 0996.42019 Appl. Comput. Harmon. Anal. 12, No. 2, 209-229 (2002). MSC: 42C40 PDFBibTeX XMLCite \textit{M. Nielsen}, Appl. Comput. Harmon. Anal. 12, No. 2, 209--229 (2002; Zbl 0996.42019) Full Text: DOI Link
Nielsen, Morten Walsh-type wavelet packet expansions. (English) Zbl 0967.42026 Appl. Comput. Harmon. Anal. 9, No. 3, 265-285 (2000). MSC: 42C40 42C10 PDFBibTeX XMLCite \textit{M. Nielsen}, Appl. Comput. Harmon. Anal. 9, No. 3, 265--285 (2000; Zbl 0967.42026) Full Text: DOI Link
Bownik, Marcin A characterization of affine dual frames in \(L^2(\mathbb{R}^n)\). (English) Zbl 0961.42018 Appl. Comput. Harmon. Anal. 8, No. 2, 203-221 (2000). Reviewer: Radu Balan (Princeton) MSC: 42C40 PDFBibTeX XMLCite \textit{M. Bownik}, Appl. Comput. Harmon. Anal. 8, No. 2, 203--221 (2000; Zbl 0961.42018) Full Text: DOI