Ehler, M.* ; Filbir, F.
Wavelet frames to optimally learn functions on diffusion measure spaces.
In: (9th International ISAAC Congress on Current Trends in Analysis and Its Applications, 2013). 2015. 715-720 (Trends Math. ; 2)
Chui, C.K.* ; Filbir, F. ; Mhaskar, H.N.*
Representation of functions on big data: Graphs and trees.
Appl. Comput. Harmon. Anal. 38, 489-509 (2014)
Ehler, M.* ; Filbir, F.
ξ-coverings of Hölder-Zygmund type spaces on data-defined manifolds.
Abstract Appl. Anal. 2014:402918 (2014)
Filbir, F. ; Kunis, S. ; Seyfried, R.
Effective discretization of direct reconstruction schemes for photoacoustic imaging in spherical geometries.
SIAM J. Numer. Anal. 52, 2722-2742 (2014)
Ansorg, M.* ; Filbir, F. ; Madych, W.R.* ; Seyfried, R.
Summability kernels for circular and spherical mean data.
Inverse Probl. 29:015002 (2013)
Ehler, M. ; Filbir, F. ; Mhaskar, H.N.*
Locally learning biomedical data using diffusion frames.
J. Comput. Biol. 19, 1251-1264 (2012)
Ehler, M. ; Filbir, F.D. ; Mhaskar, H.N.*
Learning biomedical data locally using diffusion geometry techniques.
, 125-131 (2012)
Filbir, F. ; Mhaskar, N.* ; Prestin, J.*
On the problem of parameter estimation in exponential sums.
Constr. Approx. 35, 323-343 (2012)
Filbir, F. ; Mhaskar, H.N.*
Marcinkiewicz-Zygmund measures on manifolds.
J. Complex. 27, 568-596 (2011)
Eisenhofer, S. ; Toókos, F. ; Hense, B.A. ; Schulz, S. ; Filbir, F. ; Zischka, H.
A mathematical model of mitochondrial swelling.
BMC Res. Notes 3:67 (2010)
Filbir, F. ; Hielscher, R. ; Madych, W.R.*
Reconstruction from circular and spherical mean data.
Appl. Comput. Harmon. Anal. 29, 111-120 (2010)
Filbir, F. ; Schmid, D.
Positive quadrature and hyperinterpolation on the rotation group.
In: Proceedings (10th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2010, 27-30 June 2010). Almeria: CMMSE, 2010. 1-10
Filbir, F. ; Potts, D.*
Scattered data approximation on the bisphere and application to texture analysis.
Math. Geosci. 42, 747-771 (2010)
Filbir, F. ; Mhaskar, H.N.*
A quadrature formula for diffusion polynomials corresponding to a generalized heat kernel.
J. Fourier Anal. Appl. 16, 629-657 (2010)
Filbir, F.
Kernel-based approximation methods.
Vortrag: Summer School on Applied Analysis, 4-8 Oktober 2010, TU Chemnitz. (2010)
Filbir, F.
Kernel based methods in optoacoustic imaging.
Vortrag: Dialog Lebenswissenschaften und Mathematik, 22nd January 2010, Braunschweig, Germany. (2010)
Filbir, F. ; Mhaskar, H.N.* ; Prestin, J.*
On a filter for exponentially localized kernels based on Jacobi polynomials.
J. Approx. Theory 160, 256-280 (2009)
Filbir, F. ; Mhaskar, H.N.*
Kernel based approximation on manifolds.
Vortrag: Conference on Time-Frequency Analysis, 15-19 June 2009, Strobl, Austria. (2009)
zu Castell, W. ; Filbir, F. ; Xu, Y.*
Cesàro means of Jacobi expansions on the parabolic biangle.
J. Approx. Theory 159, (Sp. Iss. SI), 167-179 (2009)
Erb, W.* ; Filbir, F.
Approximation by positive definite functions on compact groups.
Numer. Funct. Anal. Optim. 29, 1082-1107 (2008)
Filbir, F. ; Schmid, D.
Stability results for approximation by positive definite functions on SO(3).
J. Approx. Theory 153, 170-183 (2008)
Filbir, F. ; Themistoclakis, W.*
Polynomial approximation on the sphere using scattered data.
Math. Nachr. 281, 650-668 (2008)
zu Castell, W. ; Filbir, F.
Strictly positive definite functions on generalized motion groups.
In: Iske, A.* ; Levesley, J.* [Eds.]: Algorithms for Approximation. Heidelberg: Springer, 2007. 349-357