Irish Mathematical Society

Cumann Matamaitice na hÉireann

BULLETIN Number 42 Easter 1999

ISSN 0791-5578

Contents

• IMS Officers and Local Representatives ......... ii
• Notes on Applying for IMS Membership .......... iii
• Minutes of IMS meeting, 22 December 1998 .... 1
• Conference announcement ................................. 4

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• Articles
• Groups with a sublinear isoperimetric inequality
  ................................................. Michael Batty ... 5
• A spectral property for the symbolic dynamical system
  ......................... K. Abodayeh, A. Pokrovskii ... 11
• An unusual construction of the Fourier transform
  ............................................... David Malone ... 15
• Irreducible characters of small degree of the unitriangular group
  ........................................ Martin Marjoram... 21
• Transfinite induction and the real line
  ......... A. E. McCluskey, T. B. M. McMaster... 32
• Summing a divergent series
  ......................................... D. G. C. McKeon ... 45
• Inferring wins, draws and losses from points scored in a sports tournament
  ........................................... David McSherry ... 48
• A comparison technique for integral equations
  .................. Maria Meehan, Donal O'Regan... 54

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• Book Review
• James Joseph Sylvester, Life and Work in Letters by Karen Hunger Parshall
  ..................................................... Rod Gow ... 72