Frank Filbir

744 total citations
40 papers, 444 citations indexed

About

Frank Filbir is a scholar working on Applied Mathematics, Mathematical Physics and Radiation. According to data from OpenAlex, Frank Filbir has authored 40 papers receiving a total of 444 indexed citations (citations by other indexed papers that have themselves been cited), including 17 papers in Applied Mathematics, 8 papers in Mathematical Physics and 8 papers in Radiation. Recurrent topics in Frank Filbir's work include Mathematical Analysis and Transform Methods (9 papers), Mathematical functions and polynomials (9 papers) and Advanced X-ray Imaging Techniques (8 papers). Frank Filbir is often cited by papers focused on Mathematical Analysis and Transform Methods (9 papers), Mathematical functions and polynomials (9 papers) and Advanced X-ray Imaging Techniques (8 papers). Frank Filbir collaborates with scholars based in Germany, United States and Austria. Frank Filbir's co-authors include H. N. Mhaskar, Woula Themistoclakis, Wolfgang zu Castell, Jürgen Prestin, Ryszard Szwarc, Rupert Lasser, W. R. Madych, Edwin J.R. van Beek, Neil Woodhouse and W. Heil and has published in prestigious journals such as Nature Communications, Physics in Medicine and Biology and SIAM Journal on Numerical Analysis.

In The Last Decade

Frank Filbir

38 papers receiving 415 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Frank Filbir Germany 14 133 93 82 75 66 40 444
Zhengfang Zhou United States 12 202 1.5× 139 1.5× 213 2.6× 53 0.7× 32 0.5× 55 591
Jens Keiner Germany 6 59 0.4× 69 0.7× 29 0.4× 83 1.1× 44 0.7× 9 345
Paola Brianzi Italy 11 62 0.5× 59 0.6× 105 1.3× 50 0.7× 17 0.3× 17 289
Jürgen Prestin Germany 16 291 2.2× 42 0.5× 71 0.9× 142 1.9× 98 1.5× 62 580
Анатолий Тимофеевич Фоменко 12 78 0.6× 44 0.5× 167 2.0× 69 0.9× 17 0.3× 25 661
Jędrzej Śniatycki Canada 19 116 0.9× 101 1.1× 404 4.9× 16 0.2× 43 0.7× 72 1.0k
Evguenii Andreevich Rakhmanov United States 15 603 4.5× 135 1.5× 145 1.8× 55 0.7× 230 3.5× 27 907
Hans Babovsky Germany 11 318 2.4× 75 0.8× 63 0.8× 226 3.0× 33 0.5× 45 519
Mark Mineev-Weinstein United States 12 42 0.3× 46 0.5× 127 1.5× 116 1.5× 11 0.2× 30 544
M. S. Hussein Iraq 14 98 0.7× 102 1.1× 228 2.8× 58 0.8× 41 0.6× 49 465

Countries citing papers authored by Frank Filbir

Since Specialization
Citations

This map shows the geographic impact of Frank Filbir's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Frank Filbir with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Frank Filbir more than expected).

Fields of papers citing papers by Frank Filbir

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Frank Filbir. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Frank Filbir. The network helps show where Frank Filbir may publish in the future.

Co-authorship network of co-authors of Frank Filbir

This figure shows the co-authorship network connecting the top 25 collaborators of Frank Filbir. A scholar is included among the top collaborators of Frank Filbir based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Frank Filbir. Frank Filbir is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Filbir, Frank & Manfred Tasche. (2025). Regularized Shannon Sampling Formulas Related to the Special Affine Fourier Transform. Journal of Fourier Analysis and Applications. 31(3).
2.
Filbir, Frank, Ralf Hielscher, Thomas Jahn, & Tino Ullrich. (2024). Marcinkiewicz–Zygmund inequalities for scattered and random data on the q-sphere. Applied and Computational Harmonic Analysis. 71. 101651–101651. 1 indexed citations
3.
Filbir, Frank, et al.. (2024). Wirtinger gradient descent methods for low-dose Poisson phase retrieval. Inverse Problems. 40(12). 125030–125030. 3 indexed citations
4.
Filbir, Frank, et al.. (2024). Exact inversion of partially coherent dynamical electron scattering for picometric structure retrieval. Nature Communications. 15(1). 101–101. 15 indexed citations
5.
Filbir, Frank, et al.. (2023). Image Recovery for Blind Polychromatic Ptychography. SIAM Journal on Imaging Sciences. 16(3). 1308–1337. 4 indexed citations
6.
Filbir, Frank, et al.. (2020). Phase Distortion by Linear Signal Transforms. Frontiers in Applied Mathematics and Statistics. 6. 1 indexed citations
7.
García‐Valenzuela, Augusto, et al.. (2019). Heat transport considerations in the mathematical analysis of the photoacoustic and photothermal effects. Journal of Physics Communications. 3(8). 85007–85007. 16 indexed citations
8.
Chui, Charles K., Frank Filbir, & H. N. Mhaskar. (2014). Representation of functions on big data: Graphs and trees. Applied and Computational Harmonic Analysis. 38(3). 489–509. 16 indexed citations
9.
Ehler, Martin & Frank Filbir. (2014). ε-Coverings of Hölder-Zygmund Type Spaces on Data-Defined Manifolds. Abstract and Applied Analysis. 2014. 1–6. 1 indexed citations
10.
Filbir, Frank & H. N. Mhaskar. (2011). Marcinkiewicz–Zygmund measures on manifolds. Journal of Complexity. 27(6). 568–596. 42 indexed citations
11.
Hense, Burkhard A., et al.. (2010). A mathematical model of mitochondrial swelling. BMC Research Notes. 3(1). 67–67. 20 indexed citations
12.
Castell, Wolfgang zu, Frank Filbir, & Yuan Xu. (2009). Cesàro means of Jacobi expansions on the parabolic biangle. Journal of Approximation Theory. 159(2). 167–179. 3 indexed citations
13.
Filbir, Frank, H. N. Mhaskar, & Jürgen Prestin. (2009). On a filter for exponentially localized kernels based on Jacobi polynomials. Journal of Approximation Theory. 160(1-2). 256–280. 13 indexed citations
14.
Filbir, Frank, Ralf Hielscher, & W. R. Madych. (2009). Reconstruction from circular and spherical mean data. Applied and Computational Harmonic Analysis. 29(1). 111–120. 13 indexed citations
15.
Filbir, Frank, et al.. (2008). Stability results for approximation by positive definite functions on SO(3). Journal of Approximation Theory. 153(2). 170–183. 9 indexed citations
16.
Castell, Wolfgang zu, et al.. (2006). Preface. Journal of Computational and Applied Mathematics. 199(1). 1–1. 1 indexed citations
17.
Castell, Wolfgang zu, Frank Filbir, & Brigitte Forster. (2005). Inzell lectures on orthogonal polynomials. Nova Science Publishers eBooks. 10 indexed citations
18.
Castell, Wolfgang zu, Frank Filbir, & Ryszard Szwarc. (2005). Strictly positive definite functions in Rd. Journal of Approximation Theory. 137(2). 277–280. 9 indexed citations
19.
Castell, Wolfgang zu & Frank Filbir. (2005). Radial basis functions and corresponding zonal series expansions on the sphere. Journal of Approximation Theory. 134(1). 65–79. 18 indexed citations
20.
Beek, Edwin J.R. van, J. Schmiedeskamp, Jim M. Wild, et al.. (2003). Hyperpolarized 3-helium MR imaging of the lungs: testing the concept of a central production facility. European Radiology. 13(12). 2583–2586. 37 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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