David Borwein FRSE

David Borwein
    Professor Emeritus 
    Ph.D., D.Sc., University College London (1950, 1960) 

    Office: Middlesex College, room 133 (click here for complete address) 

    Tel: (519) 661-3638 ext 86518 

    E-mail: dborwein@uwo.ca

    Area of research: Classical Analysis, Summability Theory. 

A brief research summary

My main area of research has been the summability theory of series and integrals, in the study of which I have used both classical and functional analysis. I have also considered problems in measure theory and probability theory, and have done some work in number theory and some on approximate subgradients and coderivatives.

My most recent work has been in collaboration with J.M. Borwein and latterly also with B.A. Mares Jr. on some remarkable properties of single- and many-variable sinc integrals, in particular their relationships to volumes of certain symmetric convex polyhedra. This research involved some subtle Fourier transform techniques. I also worked with W. Kratz and U. Stadtmüller on one-sided Tauberian theorems for methods of summability based on Dirichlet series--these methods include standard power series methods as special cases. There are various outstanding problems in both these research areas which I intend to tackle in the future.

Publications

Complete address:

David Borwein

Department of Mathematics,   MC
The University of Western Ontario
London,   Ontario,
CANADA      N6A 5B7

Telephone:   (1) 519-661-3638 x 86884 (via Math Dept)
                   (1) 519-661-2111 x 86884 (via switchboard)

Fax:   (1) 519-661-3610

E-mail: dborwein@uwo.ca