Complex Analysis and Spectral Theory

ISBN-13: 9781470446925

H. Garth Dales;Dmitry Khavinson;Javad Mashreghi

Opis

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.

Spis treści

• C. Costara, Additive maps preserving matrices of inner local spectral radius zero at some fixed vector
• N. Levenberg and M. Perera, A global domination principle for $P$-pluripotential theory
• J. Esterle, A holomorphic functional calculus for finite families of commuting semigroups
• M. B. Bekker and J. A. Cima, An integral Hankel operator on $H^1(\mathbb)$
• A. Belton, D. Guillot, A. Khare, and M. Putinar, A panorama of positivity. II: Fixed dimension
• A. G. O'Farrell, Boundary values of holomorphic distributions in negative Lipschitz classes
• K. Kellay, F. Le Manach, and M. Zarrabi, Cyclicity in Dirichlet type spaces
• R. Cheng, J. Mashreghi, and W. T. Ross, Inner vectors for Toeplitz operators
• R. Fournier and O. Roth, Jack and Julia
• Z. Abdelali, A. Bourhim, and M. Mabrouk, Spectrum and local spectrum preservers of skew Lie products of matrices
• K. Bickel and P. Gorkin, Numerical range and compressions of the shift
• J. E. Gale, M. M. Martinez, and P. J. Miana, On the asymptotics of $n$-times integrated semigroups
• W. Arendt and I. Chalendar, Powers of operators: Convergence and decomposition.