2
BULLETIN volume 9 (1973) of the Australian Mathematical Society Number J. B. Diaz and A remark on a mean value theorem of Alexander Welnstem John G. Leschen in Generalized Axially Symmetric Potential Theory 1 John H. Cozzens Twisted group rings and a problem of Faith 11 D.G.Green Extensions of a semilattice by an inverse semigroup 21 J. A Graves and Embedding near domains 33 J. J. Malone Ian N. Stewart Finiteness conditions in soluble groups and Lie algebras 43 B. B. Phadke Conditions for a plane projective metric to be a norm 49 Michael D. Alder Remark on a theorem of E. H. Brown 55 R. A. R. Monzo On categorical semigroups 61 Edward Formanek The zero divisor question for supersolvable groups 69 U. B. Tewari and The algebra of functions with Fourier transforms in a given A. K. Gupta function space 73 Sidney A. Morris and Invariant metrics on free topological groups 83 H. B. Thompson Panayotis Th. Lambrinos Quasi proximal continuity 89 O. F. Hughes A useful relationship in the conformal mapping of quadri- laterals 99 C. E. Aull A generalization of a theorem of Aquaro 105 Marvin W. Grossman Uniqueness of invariant means on certain introverted spaces 109 Chin-Hung Ching Uniqueness and representation of a function in terms of its translated averages 121 Yeo Kok Chye Minimal generating sets for some wreath products of groups 127 Isidore Fleischer A final remark on extending to strict total orders in modules 137 P. J. McCarthy Matchings in graphs 141 Abstracts of Australasian PhD theses A. R. Gifkins An algebraic approach to Runge-Kutta methods 145 Harold Bevan Thompson Some existence problems in differential equations ap- proached through functional analysis 147 Geoffrey J. McLachlan The errors of allocation and their estimators in the two- population discrimination problem 149 Stephen K. McKee Orthogonal expansions and transforms of vector-valued measures and functions 151 Joseph Mendel Steiner Thermal convection in a non-newtonian fluid 153 Peter M. Robinson The estimation of continuous-time systems using discrete data 155 Margaret Anne Dow Maximum principles for some quasilinear degenerate elliptic-parabolic operators 157 Bull. Austral. Math. Soc. Vol. 9 (1973) No. 1, pp. 1-159 THE UNIVERSITY OF QUEENSLAND PRESS ST LUCIA. QUEENSLAND 4067 Register»'] • A j V a ' a 'v *i;»-isn-.ission By post as a periodic*. available at https://www.cambridge.org/core/terms. https://doi.org/10.1017/S0004972700042787 Downloaded from https://www.cambridge.org/core. IP address: 54.39.106.173, on 04 Sep 2021 at 05:50:29, subject to the Cambridge Core terms of use,

BULLETIN volume 9 (1973) of the Australian Mathematical … · BULLETIN volume 9 (1973) of the Australian Mathematical Society Number J. B. Diaz and A remark on a mean value theorem

  • Upload
    others

  • View
    2

  • Download
    0

Embed Size (px)

Citation preview

Page 1: BULLETIN volume 9 (1973) of the Australian Mathematical … · BULLETIN volume 9 (1973) of the Australian Mathematical Society Number J. B. Diaz and A remark on a mean value theorem

BULLETIN volume 9 (1973) of the Australian Mathematical Society

Number J . B. Diaz and A remark on a mean value theorem of Alexander Welnstem

John G. Leschen in Generalized Axially Symmetric Potential Theory 1John H. Cozzens Twisted group rings and a problem of Faith 11D . G . G r e e n Extensions of a semilattice by an inverse semigroup 21J . A Graves and Embedding near domains 33

J . J . Malone Ian N. Stewart Finiteness conditions in soluble groups and Lie algebras 43B. B. Phadke Conditions for a plane projective metric to be a norm 49Michael D. A lder Remark on a theorem of E. H. Brown 55R. A . R. Monzo On categorical semigroups 61Edward Formanek The zero divisor question for supersolvable groups 69U. B. Tewar i and The algebra of functions with Fourier transforms in a given

A . K. Gupta function space 73Sidney A . Morris and Invariant metrics on free topological groups 83

H. B. T h o m p s o n Panayotis T h . Lambrinos Quasi proximal continuity 89O. F. Hughes A useful relationship in the conformal mapping of quadri­

laterals 99C. E. Au l l A generalization of a theorem of Aquaro 105Marvin W . Grossman Uniqueness of invariant means on certain introverted

spaces 109Ch in -Hung Ching Uniqueness and representation of a function in terms of its

translated averages 121Yeo Kok Chye Minimal generating sets for some wreath products of

groups 127Isidore Fleischer A final remark on extending to strict total orders in modules 137P. J . McCarthy Matchings in graphs 141

Abst rac ts of Austra lasian P h D theses A . R. Gifkins An algebraic approach to Runge-Kutta methods 145Harold Bevan T h o m p s o n Some existence problems in differential equations ap­

proached through functional analysis 147Geoffrey J . McLachlan The errors of allocation and their estimators in the two-

population discrimination problem 149Stephen K. M c K e e Orthogonal expansions and transforms of vector-valued

measures and functions 151Joseph Mendel Steiner Thermal convection in a non-newtonian fluid 153Peter M. Robinson The estimation of continuous-time systems using discrete

data 155Margaret A n n e Dow Maximum principles for some quasilinear degenerate

elliptic-parabolic operators 157

Bull. Aust ra l . Math. Soc. Vo l . 9 (1973) No. 1, pp. 1-159

THE UNIVERSITY OF QUEENSLAND PRESS ST LUCIA. QUEENSLAND 4067

Register»'] • A j V a ' a 'v *i;»-isn-.ission By post as a periodic*.

available at https://www.cambridge.org/core/terms. https://doi.org/10.1017/S0004972700042787Downloaded from https://www.cambridge.org/core. IP address: 54.39.106.173, on 04 Sep 2021 at 05:50:29, subject to the Cambridge Core terms of use,

Page 2: BULLETIN volume 9 (1973) of the Australian Mathematical … · BULLETIN volume 9 (1973) of the Australian Mathematical Society Number J. B. Diaz and A remark on a mean value theorem

THE A U S T R A L I A N MATHEMATICAL SOCIETY

President: G. Szekeres University of New South Wales Secretary: W. Pye Melbourne College of Education,

Grattan and Swanston Streets, Carlton, Victoria 3053, Australia

Treasurer: V. G. Hart Department of Mathematics, University of Queensland St Lucia, Queensland 4067, Australia.

(These officers serve until May 1974) Membership and correspondence

Applications for membership, notices of change of address or title or position, and other correspondence, except as noted below, should be sent to the Secretary (address above). Subscriptions and correspondence related to accounts should be sent to the Treasurer (address above). Correspondence about the distribution of the Society's JOURNAL and BULLETIN, and orders for back numbers, should be sent to the Business Manager, whose address is the same as the Treasurer's (above).

Publications The JOURNAL of the Australian Mathematical Society began publication in 1959, and now appears in two volumes, each of four parts, annually. Manu­scripts for publication should be sent to the Editor:

Professor B. Mond, Department of Mathematics, La Trobe University, Bundoora, Victoria 3083, Australia,

or to one of the Associate Editors listed in a recent part of the JOURNAL. The BULLETIN of the Australian Mathematical Society began publication in 1969. Two volumes of three numbers each are published annually. Manu­scripts for publication should be sent to the Editor:

Professor B. H. Neumann, Department of Mathematics, Institute of Advanced Studies, Australian National University, POB4, Canberra, ACT 2600, Australia,

or to the Associate Editor, Dr L. G. Kovacs, at the same address. Authors receive 50 free offprints of their papers and may order more at

cost. Offprint orders and correspondence about proofs should be sent to one of the Assistant Editors:

Associate Professor A. McMullen, or Department of Mathematics, Royal Military College, Duntroon, ACT 2600, Australia.

Dr. S. Yamamuro, Department of Mathematics, Institute of Advanced Studies, Australian National University, POB4, Canberra, ACT 2600, Australia.

(Continued inside back cover) available at https://www.cambridge.org/core/terms. https://doi.org/10.1017/S0004972700042787Downloaded from https://www.cambridge.org/core. IP address: 54.39.106.173, on 04 Sep 2021 at 05:50:29, subject to the Cambridge Core terms of use,