Walter Trebels

867 total citations
51 papers, 521 citations indexed

About

Walter Trebels is a scholar working on Applied Mathematics, Mathematical Physics and Numerical Analysis. According to data from OpenAlex, Walter Trebels has authored 51 papers receiving a total of 521 indexed citations (citations by other indexed papers that have themselves been cited), including 47 papers in Applied Mathematics, 20 papers in Mathematical Physics and 10 papers in Numerical Analysis. Recurrent topics in Walter Trebels's work include Advanced Harmonic Analysis Research (33 papers), Mathematical Analysis and Transform Methods (27 papers) and Mathematical functions and polynomials (14 papers). Walter Trebels is often cited by papers focused on Advanced Harmonic Analysis Research (33 papers), Mathematical Analysis and Transform Methods (27 papers) and Mathematical functions and polynomials (14 papers). Walter Trebels collaborates with scholars based in Germany, United States and Czechia. Walter Trebels's co-authors include George Gasper, Bohumı́r Opic, Амиран Гогатишвили, P. L. Butzer, R. J. Nessel, Krzysztof Stempak, Sergey Tikhonov, Anthony Carbery, Andreas Seeger and U. Westphal and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Lecture notes in mathematics and Transactions of the American Mathematical Society.

In The Last Decade

Walter Trebels

46 papers receiving 416 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Walter Trebels Germany 14 478 193 123 98 42 51 521
Yoram Sagher United States 11 424 0.9× 240 1.2× 57 0.5× 58 0.6× 35 0.8× 47 466
Alexander Meskhi Georgia 17 1.1k 2.2× 602 3.1× 86 0.7× 52 0.5× 52 1.2× 117 1.1k
Alexandre Almeida Portugal 13 690 1.4× 421 2.2× 44 0.4× 28 0.3× 51 1.2× 26 720
H. P. Heinig Canada 9 335 0.7× 152 0.8× 45 0.4× 15 0.2× 35 0.8× 21 356
Humberto Rafeiro Colombia 13 661 1.4× 360 1.9× 41 0.3× 58 0.6× 49 1.2× 79 721
José Garcı́a-Cuerva Spain 18 882 1.8× 588 3.0× 41 0.3× 35 0.4× 46 1.1× 36 925
Natasha Samko Sweden 16 665 1.4× 329 1.7× 42 0.3× 16 0.2× 60 1.4× 51 686
U. Westphal Germany 10 111 0.2× 101 0.5× 25 0.2× 45 0.5× 56 1.3× 17 194
Petr Gurka Czechia 15 544 1.1× 233 1.2× 78 0.6× 19 0.2× 123 2.9× 31 582
Colin Bennett United States 10 420 0.9× 226 1.2× 55 0.4× 49 0.5× 73 1.7× 18 466

Countries citing papers authored by Walter Trebels

Since Specialization
Citations

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

Fields of papers citing papers by Walter Trebels

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Walter Trebels. 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 Walter Trebels. The network helps show where Walter Trebels may publish in the future.

Co-authorship network of co-authors of Walter Trebels

This figure shows the co-authorship network connecting the top 25 collaborators of Walter Trebels. A scholar is included among the top collaborators of Walter Trebels 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 Walter Trebels. Walter Trebels 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.
Trebels, Walter. (2010). Inequalities for moduli of smoothness versus embeddings of function spaces. Archiv der Mathematik. 94(2). 155–164. 19 indexed citations
2.
Trebels, Walter & U. Westphal. (2008). On Ulyanov inequalities in Banach spaces and semigroups of linear operators. Journal of Approximation Theory. 160(1-2). 154–170. 3 indexed citations
3.
Trebels, Walter, et al.. (2004). Almost optimal estimates for entropy numbers of B2,21/2 and its consequences. Mathematische Zeitschrift. 250(1). 23–42. 3 indexed citations
4.
Гогатишвили, Амиран, Bohumı́r Opic, & Walter Trebels. (2004). Limiting reiteration for real interpolation with slowly varying functions. Mathematische Nachrichten. 278(1-2). 86–107. 74 indexed citations
5.
Trebels, Walter, et al.. (2003). Generalized Liouville differentiation, truncated hypersingular integrals and K -functionals. Mathematische Zeitschrift. 246(1-2). 339–357. 1 indexed citations
6.
Trebels, Walter, et al.. (2002). q-Moduli of Continuity in H( ), p>0, and an Inequality of Hardy and Littlewood. Journal of Approximation Theory. 115(2). 238–259. 7 indexed citations
7.
Trebels, Walter, et al.. (1999). On the Rate of Almost Everywhere Convergence of Certain Classical Integral Means. Journal of Approximation Theory. 98(2). 203–222. 1 indexed citations
8.
Trebels, Walter, et al.. (1998). On Asymptotics for a Class of Radial Fourier Transforms. Zeitschrift für Analysis und ihre Anwendungen. 17(1). 103–114. 8 indexed citations
9.
Trebels, Walter, et al.. (1998). On the Rate of Almost Everywhere Convergence of Abel-Cartwright means on L p (R n ). Results in Mathematics. 34(3-4). 373–380. 3 indexed citations
10.
Trebels, Walter, et al.. (1987). A Difference Quotient Norm for Anisotropic Bessel Potential Spaces. Mathematische Nachrichten. 132(1). 163–174. 2 indexed citations
11.
Carbery, Anthony, George Gasper, & Walter Trebels. (1986). On localized potential spaces. Journal of Approximation Theory. 48(3). 251–261. 10 indexed citations
12.
Trebels, Walter, et al.. (1985). On maximal functions generated by Fourier multipliers. Arkiv för matematik. 23(1-2). 241–259. 23 indexed citations
13.
Gasper, George & Walter Trebels. (1979). Multiplier criteria of H�rmander type for Fourier series and applications to Jacobi series and Hankel transforms. Mathematische Annalen. 242(3). 225–240. 11 indexed citations
14.
Gasper, George & Walter Trebels. (1979). A characterization of localized Bessel potential spaces and applications to Jacobi and Henkel multipliers. Studia Mathematica. 65(3). 243–278. 25 indexed citations
15.
Gasper, George & Walter Trebels. (1977). Multiplier criteria of Marcinkiewicz type for Jacobi expansions. Transactions of the American Mathematical Society. 231(1). 117–132. 8 indexed citations
16.
Trebels, Walter. (1976). Some Necessary Conditions for Radial Fourier Multipliers. Proceedings of the American Mathematical Society. 58(1). 97–97. 3 indexed citations
17.
Trebels, Walter. (1976). Some necessary conditions for radial Fourier multipliers. Proceedings of the American Mathematical Society. 58(1). 97–97. 7 indexed citations
18.
Nessel, R. J. & Walter Trebels. (1975). Multipliers with respect to spectral measures in banach spaces and approximation. Journal of Approximation Theory. 14(1). 23–29. 4 indexed citations
19.
Butzer, P. L., R. J. Nessel, & Walter Trebels. (1973). Multipliers with respect to spectral measures in Banach spaces and approximation I. Radial multipliers in connection with Riesz-bounded spectral measures. Journal of Approximation Theory. 8(4). 335–356. 10 indexed citations
20.
Trebels, Walter. (1969). Über absolute summierbarkeit von n-dimensionalen Fourierreihen und Fourierintegralen. Journal of Approximation Theory. 2(4). 394–399. 4 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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