This volume contains the proceedings of the Conference on Complex
Analysis and Spectral Theory, in celebration of Thomas Ransford's
60th birthday, held from May 21-25, 2018, at Laval University,
Quebec, Canada. Spectral theory is the branch of mathematics
devoted to the study of matrices and their eigenvalues, as well as
their infinite-dimensional counterparts, linear operators and their
spectra. Spectral theory is ubiquitous in science and engineering
because so many physical phenomena, being essentially linear in
nature, can be modelled using linear operators. On the other hand,
complex analysis is the calculus of functions of a complex
variable. They are widely used in mathematics, physics, and in
engineering. Both topics are related to numerous other domains in
mathematics as well as other branches of science and engineering.
The list includes, but is not restricted to, analytical mechanics,
physics, astronomy (celestial mechanics), geology (weather
modeling), chemistry (reaction rates), biology, population
modeling, economics (stock trends, interest rates and the market
equilibrium price changes). There are many other connections, and
in recent years there has been a tremendous amount of work on
reproducing kernel Hilbert spaces of analytic functions, on the
operators acting on them, as well as on applications in physics and
engineering, which arise from pure topics like interpolation and
sampling. Many of these connections are discussed in articles
included in this book.
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