Walter R. Bloom

1.4k total citations
49 papers, 673 citations indexed

About

Walter R. Bloom is a scholar working on Mathematical Physics, Applied Mathematics and Geometry and Topology. According to data from OpenAlex, Walter R. Bloom has authored 49 papers receiving a total of 673 indexed citations (citations by other indexed papers that have themselves been cited), including 33 papers in Mathematical Physics, 26 papers in Applied Mathematics and 13 papers in Geometry and Topology. Recurrent topics in Walter R. Bloom's work include advanced mathematical theories (18 papers), Advanced Banach Space Theory (15 papers) and Functional Equations Stability Results (13 papers). Walter R. Bloom is often cited by papers focused on advanced mathematical theories (18 papers), Advanced Banach Space Theory (15 papers) and Functional Equations Stability Results (13 papers). Walter R. Bloom collaborates with scholars based in Australia, Germany and United States. Walter R. Bloom's co-authors include Herbert Heyer, Jane A. Russell, Saul Puszkin, S Kochwa, David Elliott, Paul Ressel, Martin E. Walter, Jane Skalicky, Diane Donovan and Natalie Brown and has published in prestigious journals such as Science, Proceedings of the National Academy of Sciences and Endocrinology.

In The Last Decade

Walter R. Bloom

46 papers receiving 553 citations

Peers

Walter R. Bloom

ANT

Waldemar Hebisch Poland

Helga Schirmer Canada

Katsuro Sakai Japan

Misha Gromov France

W. Szlenk Poland

Horst Leptin Germany

Richard Lashof United States

Oliver Jenkinson United Kingdom

Martin Zerner Germany

Marco Abate Italy

Waldemar Hebisch Poland

Walter R. Bloom

439 ×1.2

504 ×1.7

133 ×0.9

6 ×0.0

ANT

56 ×0.6

Citations per year, relative to Walter R. Bloom Walter R. Bloom (= 1×) peers Waldemar Hebisch

Countries citing papers authored by Walter R. Bloom

Since Specialization

Citations

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

Fields of papers citing papers by Walter R. Bloom

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Walter R. Bloom

This figure shows the co-authorship network connecting the top 25 collaborators of Walter R. Bloom. A scholar is included among the top collaborators of Walter R. Bloom 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 R. Bloom. Walter R. Bloom is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Wood, Leigh, Matt Bower, Natalie Brown, et al.. (2011). Professional development for teaching in higher education. International Journal of Mathematical Education in Science and Technology. 42(7). 997–1009. 18 indexed citations

Bloom, Walter R. & Paul Ressel. (2002). Representations of negative definite functions on polynomial hypergroups. Archiv der Mathematik. 78(4). 318–328. 1 indexed citations

Bloom, Walter R., et al.. (2000). Fourier Multipliers for L ^p on Chébli-Trimèche Hypergroups. Proceedings of the London Mathematical Society. 80(3). 643–664. 16 indexed citations

Bloom, Walter R. & Herbert Heyer. (1996). Negative definite functions and convolution semigroups of probability measure on a commutative hypergroup. Murdoch Research Repository (Murdoch University). 1 indexed citations

Bloom, Walter R., et al.. (1990). Bacterial Selectivity in the Colonization of Surface Materials from Groundwater and Purified Water Systems. SAE technical papers on CD-ROM/SAE technical paper series. 1. 1 indexed citations

Bloom, Walter R. & Herbert Heyer. (1988). Continuity of convolution semigroups on hypergroups. Journal of Theoretical Probability. 1(3). 271–286. 3 indexed citations

Bloom, Walter R. & Saroja Selvanathan. (1986). Hypergroup structures on the set of natural numbers. Bulletin of the Australian Mathematical Society. 33(1). 89–102. 2 indexed citations

Bloom, Walter R. & Herbert Heyer. (1985). Convolution semigroups and resolvent families of measures on hypergroups. Mathematische Zeitschrift. 188(4). 449–474. 15 indexed citations

Bloom, Walter R. & Herbert Heyer. (1982). The Fourier transform for probability measures on hypergroups. Murdoch Research Repository (Murdoch University). 13 indexed citations

10.

Bloom, Walter R.. (1982). Absolute convergence of Fourier series on totally disconnected groups. Arkiv för matematik. 20(1-2). 101–109. 2 indexed citations

11.

Bloom, Walter R.. (1982). Absolute convergence of Fourier series on finite-dimensional groups. Colloquium Mathematicum. 46(1). 97–103. 8 indexed citations

12.

Bloom, Walter R.. (1982). Strict local inclusion results between spaces of Fourier transforms. Pacific Journal of Mathematics. 99(2). 265–270. 21 indexed citations

13.

Bloom, Walter R., et al.. (1982). The degree of approximation by positive operators on compact connected abelian groups. Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics. 33(3). 364–373. 2 indexed citations

14.

Bloom, Walter R. & David Elliott. (1981). The modulus of continuity of the remainder in the approximation of Lipschitz functions. Journal of Approximation Theory. 31(1). 59–66. 15 indexed citations

15.

Bloom, Walter R.. (1981). Factorisation of Lipschitz functions on zero dimensional groups. Bulletin of the Australian Mathematical Society. 23(2). 215–225. 1 indexed citations

16.

Bloom, Walter R.. (1975). Jackson's Theorem for finite products and homomorphic images of locally compact abelian groups. Bulletin of the Australian Mathematical Society. 12(2). 301–309. 2 indexed citations

17.

Bloom, Walter R.. (1974). Bernstein's inequality for locally compact Abelian groups. Journal of the Australian Mathematical Society. 17(1). 88–101. 8 indexed citations

18.

Bloom, Walter R., et al.. (1965). Electron microscopy of ultraviolet-irradiated parts of chromosomes.. Proceedings of the National Academy of Sciences. 53(6). 1294–1302. 8 indexed citations

19.

Schatten, William E., et al.. (1962). Effects of endocrine homografts on thyroid and parathyroid function. Plastic & Reconstructive Surgery. 30(1). 208–208. 1 indexed citations

20.

Bloom, Walter R.. (1960). A Note on Osteogenesis by Myeloid Reticular Cells. The Journal of Infectious Diseases. 107(1). 11–14. 7 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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