Edit Profile Filbir, Frank-Dieter Compute Distance To: Compute Author ID: filbir.frank-dieter Published as: Filbir, F.; Filbir, Frank; Filbir, Frank-Dieter Documents Indexed: 33 Publications since 1994, including 2 Books all top 5 Co-Authors 2 single-authored 8 zu Castell, Wolfgang 6 Mhaskar, Hrushikesh N. 5 Lasser, Rupert 4 Szwarc, Ryszard 3 Ehler, Martin 3 Prestin, Jurgen 3 Themistoclakis, Woula 2 Ehrich, Sven 2 Girgensohn, Roland 2 Obermaier, Josef 2 Seyfried, Ruben 2 Xu, Yuan 1 Alimov, Alexey R. 1 Ansorg, Marcus 1 Berdysheva, Elena E. 1 Butzer, Paul Leo 1 Chui, Charles Kam-tai 1 Dahmen, Wolfgang A. 1 DeVore, Ron 1 Erb, Wolfgang 1 Forster, Brigitte 1 Hielscher, Ralf 1 Jetter, Kurt 1 Kunis, Stefan 1 Madych, Wally R. 1 Madych, Wolodymyr R. 1 Nevai, Paul G. 1 Potts, Daniel 1 Sauer, Tomas 1 Saxena, Anu 1 Schmid, Dominik 1 Schumaker, Larry L. 1 Singh, Ajit Iqbal 1 Sommer, Manfred 1 Strauss, Hans all top 5 Serials 7 Journal of Approximation Theory 2 Journal of Computational and Applied Mathematics 2 Applied and Computational Harmonic Analysis 2 Journal of Computational Analysis and Applications 1 Inverse Problems 1 Illinois Journal of Mathematics 1 Mathematische Nachrichten 1 Monatshefte für Mathematik 1 Numerical Functional Analysis and Optimization 1 SIAM Journal on Numerical Analysis 1 Systems & Control Letters 1 Journal of Complexity 1 Constructive Approximation 1 ETNA. Electronic Transactions on Numerical Analysis 1 The Journal of Fourier Analysis and Applications 1 Abstract and Applied Analysis 1 Mathematical Geosciences all top 5 Fields 20 Harmonic analysis on Euclidean spaces (42-XX) 10 Approximations and expansions (41-XX) 7 Abstract harmonic analysis (43-XX) 7 Numerical analysis (65-XX) 6 Special functions (33-XX) 3 General and overarching topics; collections (00-XX) 3 Integral transforms, operational calculus (44-XX) 2 Combinatorics (05-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Statistics (62-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 27 Publications have been cited 183 times in 129 Documents Cited by ▼ Year ▼ A quadrature formula for diffusion polynomials corresponding to a generalized heat kernel. Zbl 1204.41005Filbir, F.; Mhaskar, H. N. 31 2010 Marcinkiewicz-Zygmund measures on manifolds. Zbl 1235.58007Filbir, F.; Mhaskar, H. N. 29 2011 Polynomial approximation on the sphere using scattered data. Zbl 1147.41001Filbir, Frank; Themistoclakis, W. 20 2008 On the problem of parameter estimation in exponential sums. Zbl 1254.94015Filbir, F.; Mhaskar, H. N.; Prestin, J. 14 2012 Radial basis functions and corresponding zonal series expansions on the sphere. Zbl 1063.42017zu Castell, W.; Filbir, F. 10 2005 On the construction of de la Vallée Poussin means for orthogonal polynomials using convolution structures. Zbl 1079.42021Filbir, Frank; Themistoclakis, Woula 10 2004 Reiter’s condition \(P_1\) and approximate identities for polynomial hypergroups. Zbl 1059.43005Filbir, Frank; Lasser, Rupert; Szwarc, Ryszard 9 2004 On a filter for exponentially localized kernels based on Jacobi polynomials. Zbl 1203.42038Filbir, F.; Mhaskar, H. N.; Prestin, J. 7 2009 Summability kernels for circular and spherical mean data. Zbl 1269.44001Ansorg, Marcus; Filbir, Frank; Madych, W. R.; Seyfried, Ruben 6 2013 Strictly positive definite functions in \(\mathbb R^{d}\). Zbl 1078.42015zu Castell, Wolfgang; Filbir, Frank; Szwarc, Ryszard 6 2005 Representation of functions on big data: graphs and trees. Zbl 1329.62033Chui, C. K.; Filbir, F.; Mhaskar, H. N. 5 2015 Stability results for approximation by positive definite functions on \(SO(3)\). Zbl 1154.41004Filbir, Frank; Schmid, Dominik 4 2008 Hypergroups of compact type. Zbl 1077.43005Filbir, Frank; Lasser, Rupert; Szwarc, Ryszard 4 2005 Computation of the structured stability radius via matrix sign function. Zbl 0820.93049Filbir, Frank-Dieter 4 1994 Scattered data approximation on the bisphere and application to texture analysis. Zbl 1210.65021Filbir, Frank; Potts, Daniel 3 2010 Reconstruction from circular and spherical mean data. Zbl 1192.68767Filbir, Frank; Hielscher, Ralf; Madych, W. R. 3 2010 Approximation by positive definite functions on compact groups. Zbl 1158.41001Erb, Wolfgang; Filbir, Frank 3 2008 Reiter’s condition \(P_2\) and the Plancherel measure for hypergroups. Zbl 0949.43005Filbir, Frank; Lasser, Rupert 3 2000 Cesàro means of Jacobi expansions on the parabolic biangle. Zbl 1184.26027Castell, W. Zu; Filbir, F.; Xu, Y. 2 2009 Generalized de la Vallée Poussin operators for Jacobi weights. Zbl 1114.42012Filbir, F.; Themistoclakis, W. 2 2006 Existence of approximate identities in maximal ideals of hypergroup-algebras. Zbl 1161.43302Filbir, Frank 2 2000 Metric entropy, \(n\)-widths, and sampling of functions on manifolds. Zbl 1388.41017Ehler, Martin; Filbir, Frank 1 2018 Wavelet frames to optimally learn functions on diffusion measure spaces. Zbl 1330.42021Ehler, Martin; Filbir, Frank 1 2015 In memoriam: Hubert A. Berens (1936–2015). Zbl 1319.01021Alimov, Alexey; Berdysheva, Elena; Butzer, Paul; zu Castell, Wolfgang; Dahmen, Wolfgang; DeVore, Ron; Filbir, Frank; Jetter, Kurt; Mhaskar, Hrushikesh; Nevai, Paul; Sauer, Tomas; Schumaker, Larry; Sommer, Manfred; Strauss, Hans; Xu, Yuan 1 2015 \(\boldsymbol{\varepsilon}\)-coverings of Hölder-Zygmund type spaces on data-defined manifolds. Zbl 07022324Ehler, Martin; Filbir, Frank 1 2014 Effective discretization of direct reconstruction schemes for photoacoustic imaging in spherical geometries. Zbl 1316.65114Filbir, Frank; Kunis, Stefan; Seyfried, Ruben 1 2014 de la Vallée Poussin means for the Hankel transform. Zbl 1052.42008zu Castell, Wolfgang; Filbir, Frank 1 2003 Metric entropy, \(n\)-widths, and sampling of functions on manifolds. Zbl 1388.41017Ehler, Martin; Filbir, Frank 1 2018 Representation of functions on big data: graphs and trees. Zbl 1329.62033Chui, C. K.; Filbir, F.; Mhaskar, H. N. 5 2015 Wavelet frames to optimally learn functions on diffusion measure spaces. Zbl 1330.42021Ehler, Martin; Filbir, Frank 1 2015 In memoriam: Hubert A. Berens (1936–2015). Zbl 1319.01021Alimov, Alexey; Berdysheva, Elena; Butzer, Paul; zu Castell, Wolfgang; Dahmen, Wolfgang; DeVore, Ron; Filbir, Frank; Jetter, Kurt; Mhaskar, Hrushikesh; Nevai, Paul; Sauer, Tomas; Schumaker, Larry; Sommer, Manfred; Strauss, Hans; Xu, Yuan 1 2015 \(\boldsymbol{\varepsilon}\)-coverings of Hölder-Zygmund type spaces on data-defined manifolds. Zbl 07022324Ehler, Martin; Filbir, Frank 1 2014 Effective discretization of direct reconstruction schemes for photoacoustic imaging in spherical geometries. Zbl 1316.65114Filbir, Frank; Kunis, Stefan; Seyfried, Ruben 1 2014 Summability kernels for circular and spherical mean data. Zbl 1269.44001Ansorg, Marcus; Filbir, Frank; Madych, W. R.; Seyfried, Ruben 6 2013 On the problem of parameter estimation in exponential sums. Zbl 1254.94015Filbir, F.; Mhaskar, H. N.; Prestin, J. 14 2012 Marcinkiewicz-Zygmund measures on manifolds. Zbl 1235.58007Filbir, F.; Mhaskar, H. N. 29 2011 A quadrature formula for diffusion polynomials corresponding to a generalized heat kernel. Zbl 1204.41005Filbir, F.; Mhaskar, H. N. 31 2010 Scattered data approximation on the bisphere and application to texture analysis. Zbl 1210.65021Filbir, Frank; Potts, Daniel 3 2010 Reconstruction from circular and spherical mean data. Zbl 1192.68767Filbir, Frank; Hielscher, Ralf; Madych, W. R. 3 2010 On a filter for exponentially localized kernels based on Jacobi polynomials. Zbl 1203.42038Filbir, F.; Mhaskar, H. N.; Prestin, J. 7 2009 Cesàro means of Jacobi expansions on the parabolic biangle. Zbl 1184.26027Castell, W. Zu; Filbir, F.; Xu, Y. 2 2009 Polynomial approximation on the sphere using scattered data. Zbl 1147.41001Filbir, Frank; Themistoclakis, W. 20 2008 Stability results for approximation by positive definite functions on \(SO(3)\). Zbl 1154.41004Filbir, Frank; Schmid, Dominik 4 2008 Approximation by positive definite functions on compact groups. Zbl 1158.41001Erb, Wolfgang; Filbir, Frank 3 2008 Generalized de la Vallée Poussin operators for Jacobi weights. Zbl 1114.42012Filbir, F.; Themistoclakis, W. 2 2006 Radial basis functions and corresponding zonal series expansions on the sphere. Zbl 1063.42017zu Castell, W.; Filbir, F. 10 2005 Strictly positive definite functions in \(\mathbb R^{d}\). Zbl 1078.42015zu Castell, Wolfgang; Filbir, Frank; Szwarc, Ryszard 6 2005 Hypergroups of compact type. Zbl 1077.43005Filbir, Frank; Lasser, Rupert; Szwarc, Ryszard 4 2005 On the construction of de la Vallée Poussin means for orthogonal polynomials using convolution structures. Zbl 1079.42021Filbir, Frank; Themistoclakis, Woula 10 2004 Reiter’s condition \(P_1\) and approximate identities for polynomial hypergroups. Zbl 1059.43005Filbir, Frank; Lasser, Rupert; Szwarc, Ryszard 9 2004 de la Vallée Poussin means for the Hankel transform. Zbl 1052.42008zu Castell, Wolfgang; Filbir, Frank 1 2003 Reiter’s condition \(P_2\) and the Plancherel measure for hypergroups. Zbl 0949.43005Filbir, Frank; Lasser, Rupert 3 2000 Existence of approximate identities in maximal ideals of hypergroup-algebras. Zbl 1161.43302Filbir, Frank 2 2000 Computation of the structured stability radius via matrix sign function. Zbl 0820.93049Filbir, Frank-Dieter 4 1994 all cited Publications top 5 cited Publications all top 5 Cited by 145 Authors 21 Mhaskar, Hrushikesh N. 11 Filbir, Frank-Dieter 8 Ehler, Martin 8 Gräf, Manuel 8 Potts, Daniel 7 Kunis, Stefan 6 Haltmeier, Markus 5 Chui, Charles Kam-tai 4 Lasser, Rupert 4 Lubinsky, Doron S. 4 Prestin, Jurgen 4 Schmid, Dominik 4 Sloan, Ian Hugh 4 Themistoclakis, Woula 3 Narcowich, Francis J. 3 Pereverzyev, Sergiy jun. 3 Pesenson, Isaac Zalmanovich 3 Sun, Xingping 3 Tasche, Manfred 3 Ward, Joseph Dinneen 2 Azimifard, Ahmadreza 2 Batenkov, Dmitry 2 Breger, Anna 2 Dong, Bin 2 Erb, Wolfgang 2 Fuselier, Edward J. 2 Guella, Jean Carlo 2 Hangelbroek, Thomas C. 2 Hielscher, Ralf 2 Marzo, Jordi 2 Menegatto, Valdir Antonio 2 Mirzaei, Davoud 2 Ortega-Cerdà, Joaquim 2 Pereverzev, Sergei V. 2 Peter, Thomas 2 Plonka, Gerlind 2 Pridhnani, Bharti 2 Soleymani, Fazlollah 2 Szwarc, Ryszard 2 Van Barel, Marc 2 von der Ohe, Ulrich 2 Wang, Yuguang 2 Wischerhoff, Marius 2 Womersley, Robert S. 2 Wright, Grady B. 2 Zhuang, Xiaosheng 1 Alagic, Gorjan 1 Aluie, Hussein 1 Antipov, Yuri A. 1 Arteaga, Cristian 1 Bartel, Felix 1 Bartels, Sören 1 Bebendorf, Mario 1 Berg, Christian 1 Berschneider, Georg Josef 1 Böttcher, Albrecht 1 Boyer, Robert P. 1 Bratsch, Michael 1 Brüning, Jochen 1 Buescu, Jorge 1 Butzer, Paul Leo 1 Cao, Feilong 1 Chandrasekaran, Shivkumar 1 Chen, Zhenzhong 1 Chen, Zhixiang 1 Chouchene, Frej 1 Ciaurri, Óscar 1 Cordero, Alicia 1 De Iaco, Sandra 1 Demanet, Laurent 1 Dong, Yiqiu 1 Dreier, Florian 1 Estrada, Ricardo 1 Etayo, Ujué 1 Feichtinger, Hans Georg 1 Führ, Hartmut 1 Geyler, Vladimir A. 1 Ghaffari, Ali 1 Gia, Quoc T. Le 1 Goh, William M. Y. 1 Gorman, C. H. 1 Görner, Torsten 1 Gröchenig, Karlheinz 1 Haouala, Iness 1 Hofmann, Michael 1 Hösel, Volker 1 Imekraz, Rafik 1 Jäger, Janin 1 Jiang, Qingtang 1 Józiak, Paweł 1 Karabash, Illya M. 1 Kazashi, Yoshihito 1 Keiner, Jens 1 Khaksar Haghani, F. 1 Király, Franz J. 1 Kumar, Vishvesh 1 Lam, James 1 Le Gia, Quoc Thong 1 Lin, Shaobo 1 Liu, Chaoqiang ...and 45 more Authors all top 5 Cited in 53 Serials 15 Applied and Computational Harmonic Analysis 9 Journal of Approximation Theory 7 The Journal of Fourier Analysis and Applications 6 Advances in Computational Mathematics 5 Journal of Computational and Applied Mathematics 4 Journal of Mathematical Analysis and Applications 4 Monatshefte für Mathematik 4 Journal of Complexity 3 SIAM Journal on Numerical Analysis 3 Applied Numerical Mathematics 3 Constructive Approximation 3 Numerical Algorithms 3 Linear Algebra and its Applications 3 Mathematical Geosciences 3 GEM - International Journal on Geomathematics 2 Numerical Functional Analysis and Optimization 2 Abstract and Applied Analysis 2 Journal of Applied Mathematics and Computing 2 SIAM Journal on Imaging Sciences 1 Analysis Mathematica 1 Inverse Problems 1 Journal d’Analyse Mathématique 1 Journal of Computational Physics 1 Linear and Multilinear Algebra 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematics of Computation 1 Annales de l’Institut Fourier 1 Computing 1 Journal of Functional Analysis 1 Journal of Multivariate Analysis 1 Journal of Statistical Planning and Inference 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 Systems & Control Letters 1 Acta Mathematica Hungarica 1 Bulletin of the Iranian Mathematical Society 1 Neural Networks 1 SIAM Journal on Applied Mathematics 1 Applied Mathematics. Series B (English Edition) 1 Russian Journal of Mathematical Physics 1 Computational and Applied Mathematics 1 Positivity 1 The ANZIAM Journal 1 Journal of Applied Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Mediterranean Journal of Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Bulletin of Mathematical Sciences 1 Statistics and Computing 1 Waves, Wavelets and Fractals. Advanced Analysis all top 5 Cited in 35 Fields 51 Numerical analysis (65-XX) 50 Approximations and expansions (41-XX) 47 Harmonic analysis on Euclidean spaces (42-XX) 19 Abstract harmonic analysis (43-XX) 17 Information and communication theory, circuits (94-XX) 12 Special functions (33-XX) 11 Functional analysis (46-XX) 11 Statistics (62-XX) 9 Functions of a complex variable (30-XX) 7 Partial differential equations (35-XX) 7 Computer science (68-XX) 7 Biology and other natural sciences (92-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Combinatorics (05-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Integral transforms, operational calculus (44-XX) 3 Number theory (11-XX) 3 Geophysics (86-XX) 3 Systems theory; control (93-XX) 2 Real functions (26-XX) 2 Differential geometry (53-XX) 2 Probability theory and stochastic processes (60-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) Citations by Year