Free Standard AU & NZ Shipping For All Book Orders Over $80!
Register      Login
Historical Records of Australian Science Historical Records of Australian Science Society
The history of science, pure and applied, in Australia, New Zealand and the southwest Pacific
EDITORIAL (Open Access)

Gavin Brown: 1942–2010

Anthony H. Dooley https://orcid.org/0000-0002-2656-3042 A *
+ Author Affiliations
- Author Affiliations

A School of Mathematical and Physical Sciences, University of Technology Sydney, Broadway, Ultimo, NSW 2007, Australia.

* Correspondence to: anthony.dooley@uts.edu.au

Historical Records of Australian Science https://doi.org/10.1071/HR23024
Published online: 21 June 2024

© 2024 The Author(s) (or their employer(s)). Published by CSIRO Publishing on behalf of the Australian Academy of Science. This is an open access article distributed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND)

Abstract

Gavin Brown was a distinguished mathematician, born and educated in Scotland. He moved to Australia in 1975 and was a key contributor to the area of harmonic analysis at the University of New South Wales. Gavin’s career saw him become vice-chancellor of both the University of Adelaide and the University of Sydney, before he became the founding president of the Royal Institution of Australia. When Brown died in Adelaide on Christmas Day 2010, we lost a distinguished academic and research mathematician, a huge contributor to Australian education and society and a generous human being with a wonderful sense of humour.

Keywords: Gavin Brown, harmonic analysis, measure algebras, Royal Institution, vice-chancellor Sydney University.

References

Bonsall, F. F., and Duncan, J. (1973) Complete Normed Algebras, Ergebnisse der Mathematik und ihrer Grenzgebiete, 2. Folge, MATHE2, vol. 80, Springer, Heidelberg.

Brown, G. (1967) Relatively type 0 semi-algebras, Quarterly Journal of Mathematics Oxford Series, 18, 289-291.
| Crossref | Google Scholar |

Brown, G. (1968) Stability of wedges and semi-algebras, Mathematical Proceedings of the Cambridge Philosophical Society, 64, 365-376.
| Crossref | Google Scholar |

Brown, G. (1969) Norm properties of a class of semi-algebras, Journal of the London Mathematical Society, 44, 329-339.
| Crossref | Google Scholar |

Brown, G. (1992) ‘Some new applications of Riesz products, Miniconference on probability and analysis (Sydney, 1991)’, in Proceedings of the Centre Mathematics and its Applications. Australia National University, vol. 29, Australia National University, Canberra, pp. 1–13.

Brown, G. (2010) Symmetric Cantor measure, coin-tossing and sum set, Tohôku Mathematical Journal, 62(4), 475-483.
| Crossref | Google Scholar |

Brown, G., and Dai, F. (2004) Approximation on two-point homogeneous spaces, Advances in Mathematics (China), 33(5), 635-638.
| Google Scholar |

Brown, G., and Dai, F. (2005) Approximation of smooth functions on compact two-point homogeneous spaces, Journal of Functional Analysis, 220, 2, 401-423.
| Crossref | Google Scholar |

Brown, G., and Dooley, A. H. (1985) Ergodic measures are of weak product type, Mathematical Proceedings of the Cambridge Philosophical Society, 98(1), 129-145.
| Crossref | Google Scholar |

Brown, G., and Dooley, A. H. (1991) Odometer actions on G-measures, Ergodic Theory and Dynamical Systems, 11(2), 279-307.
| Crossref | Google Scholar |

Brown, G., and Dooley, A. H. (1998) On G-measures and product measures, Ergodic Theory and Dynamical Systems, 18, 1, 95-107.
| Crossref | Google Scholar |

Brown, G., and Hewitt, E. (1968) Continuous singular measures equivalent to their convolution squares, Mathematical Proceedings of the Cambridge Philosophical Society, 80(2), 249-268.
| Crossref | Google Scholar |

Brown, G., and Hewitt, E. (1984) A class of positive trigonometric sums, Mathematische Annalen, 268(1), 91-122.
| Crossref | Google Scholar |

Brown, G., and Moran, W. (1972a) L-ideals of M(G) determined by continuity of translation, Proceedings of the Edinburgh Mathematical Society, 18, 307-316.
| Crossref | Google Scholar |

Brown, G., and Moran, W. (1972b) A dichotomy of infinite convolutions of discrete measures, Mathematical Proceedings of the Cambridge Philosophical Society, 73, 307-316.
| Crossref | Google Scholar |

Brown, G., and Moran, W. (1974) On orthogonality of Riesz products, Mathematical Proceedings of the Cambridge Philosophical Society, 76, 173-181.
| Crossref | Google Scholar |

Brown, G., and Moran, W. (1993) Schmidt’s conjecture on normality for commuting matrices, Inventiones Mathematica, 111, 3, 449-463.
| Crossref | Google Scholar |

Brown, G., and Móricz, F. (1999) Exact estimates for double Dirichlet series with nonnegative coefficient, Acta Mathematica Hungarica, 84(3), 199-208.
| Crossref | Google Scholar |

Brown, G., and Móricz, F. (2000) The Hausdorff and the quasi Hausdorff operators on the spaces Lp, 1 ≤ p < ∞, Mathematical Inequalities & Applications, 3(1), 105-115.
| Google Scholar |

Brown, G., and Móricz, F. (2002) Multivariate Hausdorff operators on the spaces Lp(Rn), Journal of Mathematical Analysis and Applications, 271(2), 443-454.
| Crossref | Google Scholar |

Brown, G. and Shepp, L. (1990) ‘A convolution inequality’, in Contributions to Probability and Statistics, eds L. J. Gleser, M. D. Perlman, S. J. Press, A. R. Sampson, Springer, New York, NY, pp. 51–57.

Brown, G., and Wilson, D. C. (1989) A class of positive trigonometric sums, II. Mathematische Annalen, 285(1), 57-74.
| Crossref | Google Scholar |

Brown, G., Michon, G., and Peyrière, J. (1992) On the multifractal analysis of measures, Journal of Statistical Physics, 66, 775-790.
| Crossref | Google Scholar |

Brown, G., Moran, W., and Pollington, A. D. (1993) Normality to noninteger bases, Comptes Rendus Academie des Sciences Paris Série I Mathématiques, 316(12), 1241-1244.
| Google Scholar |

Brown, G., Moran, W., and Pollington, A. D. (1997) Normality with respect to powers of a base, Duke Mathematical Journal, 88, 2, 247-265.
| Crossref | Google Scholar |

Brown, G., Moran, W., and Pollington, A. D. (2002a) Schmidt’s conjecture on normality for dimension two, Journal of Fourier Analysis and Applications, 8, 427-441.
| Crossref | Google Scholar |

Brown, G., Dai, F., and Sheng, S. Y. (2002b) Kolmogorov width of classes of smooth functions on the sphere Sd−1, Journal of Complexity, 18(4), 1001-1023.
| Crossref | Google Scholar |

Brown, G., Dai, F., and Móricz, F. (2004) The maximal Fejér operator on real Hardy spaces, Periodica Mathematica Hungarica, 49, 15-25 51.
| Crossref | Google Scholar |

Gillespie, T. A. (2020) Frank Featherstone Bonsall. 31 March 1920—22 February 2011, Biographical Memoirs of Fellows of the Royal Society, 69, 63-77.
| Crossref | Google Scholar |