Thomas Ransford (born 1958) is a British-born Canadian mathematician, known for his research in spectral theory and complex analysis. He holds a Canada Research Chair in mathematics at Université Laval. Ransford earned his PhD from the University of Cambridge in 1984.

Career

He was a fellow of Trinity College,

University of Cambridge The University of Cambridge is a Public university, public collegiate university, collegiate research university in Cambridge, England. Founded in 1209, the University of Cambridge is the List of oldest universities in continuous operation, wo ...

, from 1983 to 1987. In addition to over 90 research papers on mathematics, he has written a research monograph "Potential Theory in the Complex Plane" in 1995, and the graduate book "A Primer on the Dirichlet Space" with Omar El-Fallah, Karim Kellay and

Javad Mashreghi Javad Mashreghi is a mathematician and author working in function space theory, functional analysis and complex analysis. He is a professeur titulaire at Université Laval and was the 35th President of the Canadian Mathematical Society (2020–20 ...

in 201

He has proved results on

potential theory In mathematics and mathematical physics, potential theory is the study of harmonic functions. The term "potential theory" was coined in 19th-century physics when it was realized that the two fundamental forces of nature known at the time, namely g ...

functional analysis Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (for example, Inner product space#Definition, inner product, Norm (mathematics ...

, the theory of capacity, and

probability Probability is a branch of mathematics and statistics concerning events and numerical descriptions of how likely they are to occur. The probability of an event is a number between 0 and 1; the larger the probability, the more likely an e ...

. For example, with Javad Mashreghi he proved the

Mashreghi–Ransford inequality In Mathematics, the Mashreghi–Ransford inequality is a bound on the growth rate of certain sequences. It is named after J. Mashreghi and T. Ransford. Let (a_n)_ be a sequence of complex numbers, and let : b_n = \sum_^n a_k, \qquad ...

. He also derived a short elementary proof of

Stone–Weierstrass theorem In mathematical analysis, the Weierstrass approximation theorem states that every continuous function defined on a closed interval (mathematics), interval can be uniform convergence, uniformly approximated as closely as desired by a polynomial fun ...

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References

1958 births Living people 21st-century Canadian mathematicians 20th-century English mathematicians Academic staff of Université Laval Alumni of the University of Cambridge Fellows of Trinity College, Cambridge Cambridge mathematicians {{Canada-academic-bio-stub