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Volume 36 - January 2004

Contents

Page 5 of 6

Book Review

Obituary

  • LAURENCE CHISHOLM YOUNG (1905–2000)

  • WENDELL. H. FLEMING, SYLVIA M. WIEGAND
  • Published online by Cambridge University Press:
    28 April 2004, pp. 413-424
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  • BARRY EDWARD JOHNSON 1937–2002

  • ALLAN SINCLAIR
  • Published online by Cambridge University Press:
    14 June 2004, pp. 559-571
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  • Barry Johnson made major contributions to the theory of Banach algebras, by stimulating research on automatic continuity and cohomology in these algebras. His research on the continuous Hochschild cohomology of Banach and operator algebras led to major developments in these areas, and to a recognition of ‘amenability’ as more than simply a group-theoretic idea, but also one that is widely applicable in modern analysis.

Papers

  • BOUNDARY ACCESSIBILITY OF A DOMAIN QUASICONFORMALLY EQUIVALENT TO A BALL

  • OLLI MARTIO, RAIMO NÄKKI
  • Published online by Cambridge University Press:
    23 December 2003, pp. 115-118

  • A boundary point of a domain $D$ in $\Bbb{R}^n$ is said to be broadly accessible if it ‘almost lies’ on the boundary of a round ball contained in $D$. If $f$ is a quasiconformal mapping of the unit ball $B^n$ onto $D$, then it is shown that broadly accessible boundary points on $\partial D$ correspond under $f$ to a set of full measure on $\partial B^n$.This research was carried out while R. Näkki was visiting The University of Texas at Austin in 1985–86.

  • DIMENSIONS OF JULIA SETS OF HYPERBOLIC ENTIRE FUNCTIONS

  • GWYNETH M. STALLARD
  • Published online by Cambridge University Press:
    02 February 2004, pp. 263-270

  • It is known that, if $f$ is a hyperbolic rational function, then the Hausdorff, packing and box dimensions of the Julia set $J(f)$ are equal. It is also known that there is a family of hyperbolic transcendental meromorphic functions with infinitely many poles for which this result fails to be true. In this paper, new methods are used to show that there is a family of hyperbolic transcendental entire functions $f_K$, $K \in {\mathbb N}$, such that the box and packing dimensions of $J(f_K)$ are equal to two, even though as $K \to \infty$ the Hausdorff dimension of $J(f_K)$ tends to one, the lowest possible value for the Hausdorff dimension of the Julia set of a transcendental entire function.

Book Review

Obituary

Book Review

Obituary

  • ARTHUR GEOFFREY WALKER 1909–2001

  • PETER GIBLIN
  • Published online by Cambridge University Press:
    02 February 2004, pp. 271-280
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Book Review

INTRODUCTION TO SYMMETRY ANALYSIS (Cambridge Texts in Applied Mathematics)

Book Review

Book Review

DISCONTINUOUS GROUPS OF ISOMETRIES IN THE HYPERBOLIC PLANE (de Gruyter Studies in Mathematics 29)

Book Review

Book Review

COMPLEX POLYNOMIALS (Cambridge Studies in Advanced Mathematics 75)

Book Review

Page 5 of 6