P. L. Butzer

7.1k total citations
202 papers, 3.8k citations indexed

About

P. L. Butzer is a scholar working on Applied Mathematics, Mathematical Physics and Statistics and Probability. According to data from OpenAlex, P. L. Butzer has authored 202 papers receiving a total of 3.8k indexed citations (citations by other indexed papers that have themselves been cited), including 102 papers in Applied Mathematics, 58 papers in Mathematical Physics and 36 papers in Statistics and Probability. Recurrent topics in P. L. Butzer's work include Mathematical functions and polynomials (45 papers), Mathematical Analysis and Transform Methods (41 papers) and Approximation Theory and Sequence Spaces (33 papers). P. L. Butzer is often cited by papers focused on Mathematical functions and polynomials (45 papers), Mathematical Analysis and Transform Methods (41 papers) and Approximation Theory and Sequence Spaces (33 papers). P. L. Butzer collaborates with scholars based in Germany, Italy and United States. P. L. Butzer's co-authors include R. L. Stens, Anatoly A. Kilbas, Juan J. Trujillo, Carlo Bardaro, Gianluca Vıntı, Gerhard Schmeißer, Hubert Berens, Ilaria Mantellını, R. J. Nessel and K. Scherer and has published in prestigious journals such as Physics Today, IEEE Transactions on Information Theory and Mathematics of Computation.

In The Last Decade

P. L. Butzer

192 papers receiving 3.3k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
P. L. Butzer Germany 31 2.6k 1.2k 1.1k 802 509 202 3.8k
Yuan Xu United States 29 2.5k 0.9× 291 0.2× 674 0.6× 722 0.9× 126 0.2× 188 3.9k
E. W. Cheney United States 22 854 0.3× 596 0.5× 1.0k 1.0× 478 0.6× 109 0.2× 60 3.1k
George G. Lorentz United States 7 1.1k 0.4× 932 0.8× 854 0.8× 257 0.3× 50 0.1× 10 2.1k
P. Túrán Hungary 21 1.2k 0.5× 226 0.2× 503 0.5× 470 0.6× 195 0.4× 77 2.7k
Gerhard Schmeißer Germany 20 1.2k 0.5× 211 0.2× 544 0.5× 281 0.4× 236 0.5× 82 2.1k
Вилмос Тотик United States 26 3.1k 1.2× 1.6k 1.3× 1.5k 1.5× 917 1.1× 193 0.4× 155 4.1k
Paul Nevai United States 30 2.4k 0.9× 342 0.3× 912 0.9× 541 0.7× 376 0.7× 101 2.9k
Stefano Serra‐Capizzano Italy 37 1.0k 0.4× 214 0.2× 1.1k 1.1× 572 0.7× 396 0.8× 252 4.0k
Loukas Grafakos United States 32 5.3k 2.0× 226 0.2× 406 0.4× 3.5k 4.3× 127 0.2× 124 6.0k
J. D. Ward United States 31 776 0.3× 148 0.1× 588 0.6× 564 0.7× 57 0.1× 112 3.0k

Countries citing papers authored by P. L. Butzer

Since Specialization
Citations

This map shows the geographic impact of P. L. Butzer'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 P. L. Butzer with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites P. L. Butzer more than expected).

Fields of papers citing papers by P. L. Butzer

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by P. L. Butzer. 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 P. L. Butzer. The network helps show where P. L. Butzer may publish in the future.

Co-authorship network of co-authors of P. L. Butzer

This figure shows the co-authorship network connecting the top 25 collaborators of P. L. Butzer. A scholar is included among the top collaborators of P. L. Butzer 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 P. L. Butzer. P. L. Butzer 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.
Bardaro, Carlo, P. L. Butzer, Ilaria Mantellını, & Gerhard Schmeißer. (2019). Development of a new concept of polar analytic functions useful in Mellin analysis. Complex Variables and Elliptic Equations. 64(12). 2040–2062. 5 indexed citations
2.
Butzer, P. L., Paulo J. S. G. Ferreira, John R. Higgins, Gerhard Schmeißer, & R. L. Stens. (2010). The sampling theorem, Poisson's summation formula, general Parseval formula, reproducing kernel formula and the Paley–Wiener theorem for bandlimited signals – their interconnections. Applicable Analysis. 90(3-4). 431–461. 20 indexed citations
3.
Butzer, P. L., John R. Higgins, & R. L. Stens. (2005). Classical and approximate sampling theorems; studies in the LP(R) and the uniform norm. Journal of Approximation Theory. 137(2). 250–263. 31 indexed citations
4.
Butzer, P. L., et al.. (1999). P. L. Chebyshev (1821–1894). Journal of Approximation Theory. 96(1). 111–138. 23 indexed citations
5.
Butzer, P. L., et al.. (1994). Sampling theorems associated with fourth- and higher-order self-adjoint eigenvalue problems. Journal of Computational and Applied Mathematics. 51(2). 159–177. 22 indexed citations
6.
Butzer, P. L., Hans G. Feichtinger, & Karlheinz Gröchenig. (1993). Error analysis in regular and irregular sampling theory. Applicable Analysis. 50(3-4). 167–189. 34 indexed citations
7.
Butzer, P. L., et al.. (1990). The sampling theorem and its unique role in various branches of mathematics. RWTH Publications (RWTH Aachen). 9 indexed citations
8.
Butzer, P. L., et al.. (1989). Central factorial numbers; their main properties and some applications.. Numerical Functional Analysis and Optimization. 10(5-6). 419–488. 79 indexed citations
9.
Butzer, P. L., et al.. (1988). General Limit Theorems with $o$-Rates and Markov Processes under Pseudo-Moment Conditions. Zeitschrift für Analysis und ihre Anwendungen. 7(4). 289–307. 2 indexed citations
10.
Butzer, P. L., et al.. (1988). The Conditional Lindeberg–Trotter Operator in the Resolution of Limit Theorems with Rates for Dependent Random Variables. Applications to Markovian Processes. Zeitschrift für Analysis und ihre Anwendungen. 7(1). 19–39. 2 indexed citations
11.
Butzer, P. L.. (1987). Dirichlet and his Role in the Founding of Mathematical Physics. OpenGrey (Institut de l'Information Scientifique et Technique). 37(118). 49–82. 7 indexed citations
12.
Butzer, P. L., et al.. (1985). On o-rates of closeness of two weighted random sums of dependent Banach-valued random variables. RWTH Publications (RWTH Aachen). 2 indexed citations
13.
Butzer, P. L., et al.. (1983). General Random Sum Limit Theorems for Martingales with large $\mathcal O$-Rates. Zeitschrift für Analysis und ihre Anwendungen. 2(2). 97–109. 5 indexed citations
14.
Butzer, P. L., et al.. (1982). Dyadic calculus and sampling theorems for functions with multidimensional domain II. Applications to dyadic sampling representations. Information and Control. 52(3). 352–363. 1 indexed citations
15.
Butzer, P. L., et al.. (1977). Best Trigonometric Approximation, Fractional Order Derivatives and Lipschitz Classes. Canadian Journal of Mathematics. 29(4). 781–793. 63 indexed citations
16.
Butzer, P. L., et al.. (1977). On the Lax equivalence theorem equipped with orders. Journal of Approximation Theory. 19(3). 239–252. 12 indexed citations
17.
Butzer, P. L., et al.. (1975). Linear functionals defined on various spaces of continuous functions on R. Journal of Approximation Theory. 13(4). 451–469. 3 indexed citations
18.
Kahane, Jean‐Pierre, et al.. (1972). Linear operators and approximation = Lineare Operatoren und Approximation : proceedings of the Conference held at the Oberwolfach Mathematical Research Institute, Black Forest, August 14-22, 1971. 1 indexed citations
19.
Butzer, P. L. & Rolf Joachim Nessel. (1971). One-dimensional theory. Birkhäuser eBooks. 19 indexed citations
20.
Butzer, P. L., et al.. (1954). On the Riemann Derivatives for Integrable Functions. Canadian Journal of Mathematics. 6. 572–581. 15 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.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by Yuan Xu Breakdown of academic impact, for papers by E. W. Cheney Breakdown of academic impact, for papers by George G. Lorentz Breakdown of academic impact, for papers by P. Túrán Breakdown of academic impact, for papers by Gerhard Schmeißer Breakdown of academic impact, for papers by Вилмос Тотик Breakdown of academic impact, for papers by Paul Nevai Breakdown of academic impact, for papers by Stefano Serra‐Capizzano Breakdown of academic impact, for papers by Loukas Grafakos Breakdown of academic impact, for papers by J. D. Ward
Rankless by CCL
2026