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Publications: Bloom, Walter

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Number of items: 90.

Journal Article

Bloom, W.R., Fournier, J.J.F. and Leinert, M. (2015) Wiener's theorem on hypergroups. Annals of Functional Analysis, 6 (4). pp. 30-59.

Bloom, W.R. and McDonald, J. (2015) World War 1 appeal medals of Western Australia. Journal of the Numismatic Association of Australia, 26 . pp. 19-35.

Bloom, W.R. and McDonald, J. (2015) The first Anzacs at Gallipoli - April 1915: Contemporary Australian commemorative medallions & their background. Perth Numismatic Journal, 47 (2).

Bloom, W.R. and Pitchfork, C. (2013) Two 1921 New South Wales coin hoards. Journal of the Numismatic Association of Australia, 23 . pp. 1-19.

Bloom, W.R. (2012) Haydn Donald Powell, 24 July 1939 – 20 April 2011. Journal of the Numismatic Association of Australia, 22 . pp. 131-133.

Bloom, W.R. (2012) Schiffwracks, Münzzeichen und Münzmeister. Numismatische NachrichtenBlatt, 61 . pp. 143-144.

Wood, L.N., Vu, T., Bower, M., Brown, N., Skalicky, J., Donovan, D., Loch, B., Joshi, N. and Bloom, W. (2011) Professional development for teaching in higher education. International Journal of Mathematical Education in Science and Technology, 42 (7). pp. 997-1009.

Bloom, W., Bower, M., Brown, N., Donovan, D., Joshi, N., Loch, B., Skalicky, J. and Wood, L. (2011) A national discipline-specific professional development program for lecturers and tutors in the mathematical sciences. Gazette. Australian Mathematical Society, 38 (1). pp. 6-8.

Bloom, W.R. (2011) The proof (specimen) Australian 1930 Penny. Journal of the Numismatic Association of Australia, 21 . pp. 1-10.

Bloom, W.R. (2008) The Hector memorial medal. New Zealand numismatic journal, 87 . pp. 3-10.

Bloom, W. (2008) Polynomial hypergroup structures and applications to probability theory. Publicationes Mathematicae, 72 (1-2).

Bloom, W.R. and Ressel, P. (2005) Negative definite and Schoenberg functions on commutative hypergroups. Journal of the Australian Mathematical Society (Series A), 79 (1). pp. 25-37.

Bloom, W.R. (2004) The numismatic collection of the Western Australian Maritime Museum. AIMA Millenium Bulletin (9). p. 36.

Bloom, W. (2003) A jetton found far from home. Journal of the Numismatic Association of Australia, 13 . pp. 45-47.

Bloom, W.R. and Ressel, P. (2002) Representations of negative definite functions on polynomial hypergroups. Archiv der Mathematik, 78 (4). pp. 318-328.

Bloom, W. (2001) A religious medallion from the Gilt Dragon. Journal of the Numismatic Association of Australia, 12 . pp. 62-64.

Bloom, W. (2000) Another French écu surfaces in Western Australia. Journal of the Numismatic Association of Australia, 11 . pp. 47-49.

Bloom, W.R. and Xu, Z. (2000) Fourier multipliers for Lp on Chébli-Trimèche hypergroups. Proceedings of the London Mathematical Society, 80 (3). pp. 643-664.

Bloom, W.R. and Xu, Z. (2000) Maximal functions on Chébli–Trimèche hypergroups. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 3 (3). pp. 403-434.

Bloom, W. (2000) Obituary – Stan Wilson AM MPS PhC JP. 29 September 1920 - 10 December 1999. Journal of the Numismatic Association of Australia, 11 . pp. 65-67.

Bloom, W.R. and Xu, Z. (2000) Pseudo differential operators on local Hardy spaces on chébli-teimèche hypergroups. Journal of the Australian Mathematical Society (Series A), 68 (2). pp. 202-230.

Bloom, W.R. and Xu, Z. (1999) Local Hardy spaces on Chébli-Trimèche hypergroups. Studia Mathematica, 133 (3). pp. 197-230.

Bloom, W.R. and Xu, Z. (1998) Fourier multipliers for local hardy spaces on Chébli-Trimèche hypergroups. Canadian Journal of Mathematics, 50 . pp. 897-928.

Bloom, W.R. and Xu, Z. (1998) Fourier transforms of Schwartz functions on Chébli-Trimèche hypergroups. Monatshefte für Mathematik, 125 (2). pp. 89-109.

Bloom, W.R. (1998) The role of the French écu in the colonization of Western Australia. Journal of the Numismatic Association of Australia, 9 . pp. 34-42.

Bloom, W.R. and Xu, Z. (1997) Hardy spaces on Chébli-Trimèche hypergroups. Methods of Functional Analysis and Topology, 3 (2). pp. 1-26.

Bloom, W.R. and Ressel, P. (1996) Exponentially bounded positive-definite functions on a commutative hypergroup. Journal of the Australian Mathematical Society, 61 (2). pp. 238-248.

Bloom, W.R. and Heyer, H. (1996) Negative definite functions and convolution semigroups of probability measure on a commutative hypergroup. Probability and Mathematical Statistics, 16 (1). pp. 157-176.

Bloom, W.R. and Zengfu, X. (1994) Approximation of H p -functions by Bochner-Riesz means on compact Lie groups. Mathematische Zeitschrift, 216 (1). pp. 131-145.

Bloom, W.R. and Walter, M.E. (1992) Isomorphisms of hypergroups. Journal of the Australian Mathematical Society (Series A), 52 (3). pp. 383-400.

Bloom, W.R. and Ressel, P. (1991) Positive definite and related functions on hypergroups. Canadian Journal of Mathematics, 43 (2). pp. 242-254.

Bloom, W.R. and Heyer, H. (1988) Continuity of convolution semigroups on hypergroups. Journal of Theoretical Probability, 1 (3). pp. 271-286.

Bloom, W.R. (1988) Fourier series of local Lipschitz functions on zero-dimensional groups. Mathematische Zeitschrift, 198 (3). pp. 401-404.

Bloom, W.R. and Fournier, J.J.F. (1988) Smoothness conditions and integrability theorems on bounded Vilenkin groups. Journal of the Australian Mathematical Society (Series A), 45 . pp. 46-61.

Bloom, W.R. and Fournier, J.J.F. (1987) Generalized Lipschitz Spaces on Vilenkin Groups. Mathematische Nachrichten, 132 (1). pp. 67-80.

Bloom, W.R. and Heyer, H. (1987) Non-symmetric translation invariant Dirichlet forms on hypergroups. Bulletin of the Australian Mathematical Society, 36 (1). pp. 61-72.

Bloom, W.R. and Selvanathan, S. (1986) Hypergroup structures on the set of natural numbers. Bulletin of the Australian Mathematical Society, 33 (1). pp. 89-102.

Bloom, W.R. (1986) Majorising by Fourier transforms. Rendiconti di Matematica e delle sue applicazioni, 6 . pp. 467-472.

Bloom, W.R. (1986) The relevance of the school mathematics curriculum. The Australian Mathematics Teacher, 42 . pp. 6-7.

Bloom, W.R. and Heyer, H. (1985) Convolution semigroups and resolvent families of measures on hypergroups. Mathematische Zeitschrift, 188 (4). pp. 449-474.

Bloom, W.R. and Sussich, J.F. (1985) Saturation on locally compact abelian groups. Journal of the Australian Mathematical Society (Series A), 38 (2). pp. 255-267.

Bloom, W.R. and Webb, J. (1983) Work and study abroad - a personal account. Journal of College Science Teaching, 12 . pp. 252-254.

Bloom, W. (1983) The role of geometry in the school curriculum. The Australian Mathematics Teacher, 39 . pp. 2-5.

Bloom, W.R. (1982) Absolute convergence of Fourier series on finite dimensional groups. Colloquium Mathematicum, 46 . pp. 97-103.

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

Bloom, W.R. and Heyer, H. (1982) Convergence of convolution products of probability measures on hypergroups. Rendiconti di Matematica e delle sue applicazioni, 2 . pp. 547-563.

Bloom, W. and Heyer, H. (1982) The Fourier transform for probability measures on hypergroups. Rendiconti di Matematica e delle sue applicazioni, 2 . pp. 315-344.

Bloom, W. (1982) Strict local inclusion results between spaces of Fourier transforms. Pacific Journal of Mathematics, 99 (2). pp. 265-270.

Bloom, W.R. and Sussich, J.F. (1982) The degree of approximation by positive operators on compact connected abelian groups. Journal of the Australian Mathematical Society (Series A), 33 (03). p. 364.

Bloom, W.R. (1981) Factorisation of Lipschitz functions on zero dimensional groups. Bulletin of the Australian Mathematical Society, 23 (2). p. 215.

Bloom, W.R. (1981) Multipliers of Lipschitz spaces on zero dimensional groups. Mathematische Zeitschrift, 176 (4). pp. 485-488.

Bloom, W.R. and Elliott, D. (1981) The modulus of continuity of the remainder in the approximation of Lipschitz functions. Journal of Approximation Theory, 31 (1). pp. 59-66.

Bloom, L.M. and Bloom, W.R. (1980) Idempotent multipliers on spaces of continuous functions with $p$-summable Fourier transforms. Proceedings of the American Mathematical Society, 79 (3). p. 441.

Bloom, W.R. (1980) Interpolation of multipliers of YpL. Studia Mathematica, 66 . pp. 283-289.

Bloom, W.R. and Sussich, J.F. (1980) Positive linear operators and the approximation of continuous functions on locally compact abelian groups. Journal of the Australian Mathematical Society (Series A), 30 (2). pp. 180-186.

Bloom, H., Taylor, R., Bloom, W.R. and Ayling, G.M. (1979) Organochlorine pesticide residues in animals of Tasmania, Australia-1975-77. Pesticides Monitoring Journal, 13 (3). pp. 99-108.

Bloom, W.R. and Bloom, L.M. (1977) Who's afraid of mathematics? - the anxiety syndrome. Research in Mathematics Education in Australia, 2 . pp. 1-7.

Bloom, W.R. (1976) A characterisation of lipschitz classes on finite dimensional groups. Proceedings of the American Mathematical Society, 59 (2). pp. 297-304.

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

Bloom, W.R., Flood, J., Hunter, R.H., Praeger, C.E., Price, J.F., Rangaswamy, K.M., Sanders, J.W., Silcock, H. and Staples, J. (1975) Pure mathematics in Australia. Vestes, 18 (1). pp. 18-21.

Bloom, W.R. (1975) Sets of p-spectral synthesis. Pacific Journal of Mathematics, 60 (1). pp. 7-19.

Bloom, W.R. (1975) A characterisation of Lipschitz classes on 0-dimensional groups. Proceedings of the American Mathematical Society, 53 (1). p. 149.

Bloom, W.R. (1974) Bernstein's inequality for locally compact Abelian groups. Journal of the Australian Mathematical Society, 17 (1). pp. 88-101.

Bloom, W.R. (1974) Bernstein's inequality for locally compact groups. Bulletin of the Australian Mathematical Society, 11 (2). p. 315.

Bloom, W.R. (1974) Jackson's Theorem for locally compact abelian groups. Bulletin of the Australian Mathematical Society, 10 (1). p. 59.

Bloom, W.R. (1973) A converse of Bernstein's inequality for locally compact groups. Bulletin of the Australian Mathematical Society, 9 (2). p. 291.

Non-refereed Article

Bloom, W.R. (1975) A more cultural side of mathematics. Murdoch News, 2 (5). p. 3.

Conference Paper

Brown, N., Bower, M., Skalicky, J., Wood, L., Donovan, D., Loch, B., Bloom, W. and Joshi, N. (2010) A professional development framework for teaching in higher education. In: HERDSA 2010: Reshaping Higher Education, 6 - 9 July 2010, Melbourne, VIC

Bloom, W. (2006) Computing fourier coefficients. In: 11th Asian Technology Conference in Mathematics (ATCM) 2006, 12-16 December, 2006, Hong Kong SAR, China

Bloom, W. (2004) Teaching signal analysis using Scientific Notebook. In: 9th Asian Technology Conference in Mathematics (ATCM) 2004, 13-17 December 2004, Singapore

Bloom, W.R. (2002) Experimenting with maple to obtain sums of bessel series. In: 7th Asian Technology Conference in Mathematics (ATCM) 2002, 17-21 December 2002, Melaka, Malaysia

Bloom, L.M. and Bloom, W.R. (2000) Treat technology with care: Some traps for the unwary. In: 5th Asian Technology Conference in Mathematics (ATCM) 2000, 17-21 December 2000, Chiang Mai, Thailand

Bloom, W. (1994) Open problems on hypergroups. In: Probability Measures on Groups and Related Structures XI, 23 - 29 October 1994, Oberwolfach, Germany

Book Chapter

Bloom, W.R. (2015) General numismatics. In: Torres, J. and Ibáñez Artica, M., (eds.) A Survey of Numismatic Research 2008-2013 (Oceania). International Numismatic Council.

Bloom, W.R. (2015) Medals. In: Torres, J. and Ibáñez Artica, M., (eds.) A Survey of Numismatic Research 2008-2013 (Oceania). International Numismatic Council.

Bloom, W.R. (2009) Ethnographic. In: Amandry, M. and Bateson, D., (eds.) A Survey of Numismatic Research 2002-2007 (Oceania). International Numismatic Commission, Glasgow, Scotland, p. 588.

Bloom, W.R. (2009) General numismatics. In: Amandry, M. and Bateson, D., (eds.) A Survey of Numismatic Research 2002-2007 (Oceania). International Numismatic Commission, Glasgow, Scotland, pp. 462-471.

Bloom, W.R. (2009) Oceania. In: A Survey of Numismatic Research 2002-2007 (Oceania). International Numismatic Commission, Glasgow, Scotland, pp. 705-708.

Bloom, W. (2000) An application of Sobolev spaces for commutative hypergroups. In: Accardi, L., Kuo, H-H, Obata, N., Saito, K., Si, S. and Ludwig, S., (eds.) Trends in contemporary infinite dimensional analysis and quantum probability. Istituto Italiano di Cultura, Kyoto, Japan, pp. 81-100.

Bloom, W.R. and Xu, Z.F. (1995) The Hardy-Littlewood maximal function for Chébli-Trimèche hypergroups. In: Connett, W.C., Gebuhrer, M-O and Schwartz, A.L., (eds.) Applications of Hypergroups and Related Measure Algebras. American Mathematical Society, pp. 45-70.

Bloom, W.R., Heyer, H. and Wang, Y. (1991) Positive definite functions and the lévy continuity theorem for commutative hypergroups. In: Heyer, H., (ed.) Probability Measures on Groups X. Springer US, pp. 19-38.

Bloom, W.R. and Heyer, H. (1989) Characterisation of potential kernels of transient convolution semigroups on a commutative hypergroup. In: Heyer, H., (ed.) Probability Measures on Groups IX. 1989 Springer Berlin Heidelberg, pp. 21-35.

Bloom, L.M. and Bloom, W.R. (1988) Multipliers on spaces of functions with p-summable fourier transforms. In: Eymard, P. and Pier, J-P, (eds.) Harmonic Analysis. Springer Berlin Heidelberg, pp. 100-112.

Bloom, W.R. (1986) Idempotent measures on commutative hypergroups. In: Heyer, H., (ed.) Probability Measures on Groups VIII. Springer Berlin Heidelberg, pp. 13-23.

Bloom, W.R. (1984) Translation bounded measures and the orlicz-paley-sidon theorem. In: Heyer, H., (ed.) Probability Measures on Groups VII. Springer Berlin Heidelberg, pp. 1-9.

Bloom, W.R. (1982) Infinitely divisible measures on hypergroups. In: Heyer, H., (ed.) Probability Measures on Groups. Springer Berlin Heidelberg, pp. 1-15.

Bloom, W.R. (1981) Approximation Theory on the Compact Solenoid. In: Butzer, P.L., Sz.-Nagy, B. and Görlich, E., (eds.) Functional Analysis and Approximation. Birkhäuser Basel, pp. 167-174.

Book

Bloom, W.R. and Heyer, H. (1995) Harmonic analysis of probability measures on hypergroups. Degruyter, Berlin/New York.

Platell, C. and Bloom, W. (Ed) (1986) Australian coin review index, 1964-1984. Perth Numismatic Society Inc., Perth, W.A..

Bloom, W.R. (1984) Computing, mathematics and statistics periodicals held at Kalgoorlie School of Mines, Murdoch University, The University of Western Australia, The Western Australian College of Advanced Education and the Western Australian Institute of Technology. Murdoch University.

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