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Filbir, Frank-Dieter

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Author ID: filbir.frank-dieter Recent zbMATH articles by "Filbir, Frank-Dieter"
Published as: Filbir, F.; Filbir, Frank; Filbir, Frank-Dieter
Documents Indexed: 33 Publications since 1994, including 2 Books

Publications by Year

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 1204.41005
Filbir, F.; Mhaskar, H. N.
31
2010
Marcinkiewicz-Zygmund measures on manifolds. Zbl 1235.58007
Filbir, F.; Mhaskar, H. N.
29
2011
Polynomial approximation on the sphere using scattered data. Zbl 1147.41001
Filbir, Frank; Themistoclakis, W.
20
2008
On the problem of parameter estimation in exponential sums. Zbl 1254.94015
Filbir, F.; Mhaskar, H. N.; Prestin, J.
14
2012
Radial basis functions and corresponding zonal series expansions on the sphere. Zbl 1063.42017
zu Castell, W.; Filbir, F.
10
2005
On the construction of de la Vallée Poussin means for orthogonal polynomials using convolution structures. Zbl 1079.42021
Filbir, Frank; Themistoclakis, Woula
10
2004
Reiter’s condition \(P_1\) and approximate identities for polynomial hypergroups. Zbl 1059.43005
Filbir, Frank; Lasser, Rupert; Szwarc, Ryszard
9
2004
On a filter for exponentially localized kernels based on Jacobi polynomials. Zbl 1203.42038
Filbir, F.; Mhaskar, H. N.; Prestin, J.
7
2009
Summability kernels for circular and spherical mean data. Zbl 1269.44001
Ansorg, Marcus; Filbir, Frank; Madych, W. R.; Seyfried, Ruben
6
2013
Strictly positive definite functions in \(\mathbb R^{d}\). Zbl 1078.42015
zu Castell, Wolfgang; Filbir, Frank; Szwarc, Ryszard
6
2005
Representation of functions on big data: graphs and trees. Zbl 1329.62033
Chui, C. K.; Filbir, F.; Mhaskar, H. N.
5
2015
Stability results for approximation by positive definite functions on \(SO(3)\). Zbl 1154.41004
Filbir, Frank; Schmid, Dominik
4
2008
Hypergroups of compact type. Zbl 1077.43005
Filbir, Frank; Lasser, Rupert; Szwarc, Ryszard
4
2005
Computation of the structured stability radius via matrix sign function. Zbl 0820.93049
Filbir, Frank-Dieter
4
1994
Scattered data approximation on the bisphere and application to texture analysis. Zbl 1210.65021
Filbir, Frank; Potts, Daniel
3
2010
Reconstruction from circular and spherical mean data. Zbl 1192.68767
Filbir, Frank; Hielscher, Ralf; Madych, W. R.
3
2010
Approximation by positive definite functions on compact groups. Zbl 1158.41001
Erb, Wolfgang; Filbir, Frank
3
2008
Reiter’s condition \(P_2\) and the Plancherel measure for hypergroups. Zbl 0949.43005
Filbir, Frank; Lasser, Rupert
3
2000
Cesàro means of Jacobi expansions on the parabolic biangle. Zbl 1184.26027
Castell, W. Zu; Filbir, F.; Xu, Y.
2
2009
Generalized de la Vallée Poussin operators for Jacobi weights. Zbl 1114.42012
Filbir, F.; Themistoclakis, W.
2
2006
Existence of approximate identities in maximal ideals of hypergroup-algebras. Zbl 1161.43302
Filbir, Frank
2
2000
Metric entropy, \(n\)-widths, and sampling of functions on manifolds. Zbl 1388.41017
Ehler, Martin; Filbir, Frank
1
2018
Wavelet frames to optimally learn functions on diffusion measure spaces. Zbl 1330.42021
Ehler, Martin; Filbir, Frank
1
2015
In memoriam: Hubert A. Berens (1936–2015). Zbl 1319.01021
Alimov, 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 07022324
Ehler, Martin; Filbir, Frank
1
2014
Effective discretization of direct reconstruction schemes for photoacoustic imaging in spherical geometries. Zbl 1316.65114
Filbir, Frank; Kunis, Stefan; Seyfried, Ruben
1
2014
de la Vallée Poussin means for the Hankel transform. Zbl 1052.42008
zu Castell, Wolfgang; Filbir, Frank
1
2003
Metric entropy, \(n\)-widths, and sampling of functions on manifolds. Zbl 1388.41017
Ehler, Martin; Filbir, Frank
1
2018
Representation of functions on big data: graphs and trees. Zbl 1329.62033
Chui, C. K.; Filbir, F.; Mhaskar, H. N.
5
2015
Wavelet frames to optimally learn functions on diffusion measure spaces. Zbl 1330.42021
Ehler, Martin; Filbir, Frank
1
2015
In memoriam: Hubert A. Berens (1936–2015). Zbl 1319.01021
Alimov, 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 07022324
Ehler, Martin; Filbir, Frank
1
2014
Effective discretization of direct reconstruction schemes for photoacoustic imaging in spherical geometries. Zbl 1316.65114
Filbir, Frank; Kunis, Stefan; Seyfried, Ruben
1
2014
Summability kernels for circular and spherical mean data. Zbl 1269.44001
Ansorg, Marcus; Filbir, Frank; Madych, W. R.; Seyfried, Ruben
6
2013
On the problem of parameter estimation in exponential sums. Zbl 1254.94015
Filbir, F.; Mhaskar, H. N.; Prestin, J.
14
2012
Marcinkiewicz-Zygmund measures on manifolds. Zbl 1235.58007
Filbir, F.; Mhaskar, H. N.
29
2011
A quadrature formula for diffusion polynomials corresponding to a generalized heat kernel. Zbl 1204.41005
Filbir, F.; Mhaskar, H. N.
31
2010
Scattered data approximation on the bisphere and application to texture analysis. Zbl 1210.65021
Filbir, Frank; Potts, Daniel
3
2010
Reconstruction from circular and spherical mean data. Zbl 1192.68767
Filbir, Frank; Hielscher, Ralf; Madych, W. R.
3
2010
On a filter for exponentially localized kernels based on Jacobi polynomials. Zbl 1203.42038
Filbir, F.; Mhaskar, H. N.; Prestin, J.
7
2009
Cesàro means of Jacobi expansions on the parabolic biangle. Zbl 1184.26027
Castell, W. Zu; Filbir, F.; Xu, Y.
2
2009
Polynomial approximation on the sphere using scattered data. Zbl 1147.41001
Filbir, Frank; Themistoclakis, W.
20
2008
Stability results for approximation by positive definite functions on \(SO(3)\). Zbl 1154.41004
Filbir, Frank; Schmid, Dominik
4
2008
Approximation by positive definite functions on compact groups. Zbl 1158.41001
Erb, Wolfgang; Filbir, Frank
3
2008
Generalized de la Vallée Poussin operators for Jacobi weights. Zbl 1114.42012
Filbir, F.; Themistoclakis, W.
2
2006
Radial basis functions and corresponding zonal series expansions on the sphere. Zbl 1063.42017
zu Castell, W.; Filbir, F.
10
2005
Strictly positive definite functions in \(\mathbb R^{d}\). Zbl 1078.42015
zu Castell, Wolfgang; Filbir, Frank; Szwarc, Ryszard
6
2005
Hypergroups of compact type. Zbl 1077.43005
Filbir, Frank; Lasser, Rupert; Szwarc, Ryszard
4
2005
On the construction of de la Vallée Poussin means for orthogonal polynomials using convolution structures. Zbl 1079.42021
Filbir, Frank; Themistoclakis, Woula
10
2004
Reiter’s condition \(P_1\) and approximate identities for polynomial hypergroups. Zbl 1059.43005
Filbir, Frank; Lasser, Rupert; Szwarc, Ryszard
9
2004
de la Vallée Poussin means for the Hankel transform. Zbl 1052.42008
zu Castell, Wolfgang; Filbir, Frank
1
2003
Reiter’s condition \(P_2\) and the Plancherel measure for hypergroups. Zbl 0949.43005
Filbir, Frank; Lasser, Rupert
3
2000
Existence of approximate identities in maximal ideals of hypergroup-algebras. Zbl 1161.43302
Filbir, Frank
2
2000
Computation of the structured stability radius via matrix sign function. Zbl 0820.93049
Filbir, Frank-Dieter
4
1994
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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

Citations by Year