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Complex analysis and spectral theory. Conference in celebration of Thomas Ransford’s 60th birthday, Laval University, Québec, Canada, May 21–25, 2018. (English) Zbl 1444.30001

Contemporary Mathematics 743. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4692-5/pbk; 978-1-4704-5453-1/ebook). xi, 280 p. (2020).

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Publisher’s description: 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, Québec, 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.
The articles of this volume will be reviewed individually.
Indexed articles:
Costara, Constantin, Additive maps preserving matrices of inner local spectral radius zero at some fixed vector, 1-9 [Zbl 1461.47014]
Levenberg, Norm; Perera, Menuja, A global domination principle for \(P\)-pluripotential theory, 11-19 [Zbl 1442.32040]
Esterle, Jean, A holomorphic functional calculus for finite families of commuting semigroups, 21-99 [Zbl 1467.47013]
Bekker, Miron B.; Cima, Joseph A., An integral Hankel operator on \(H^1(\mathbb{D})\), 101-108 [Zbl 1442.30035]
Belton, Alexander; Guillot, Dominique; Khare, Apoorva; Putinar, Mihai, A panorama of positivity. II: Fixed dimension, 109-150 [Zbl 1452.15021]
O’Farrell, Anthony G., Boundary values of holomorphic distributions in negative Lipschitz classes, 151-179 [Zbl 1442.30039]
Kellay, K.; Le Manach, F.; Zarrabi, M., Cyclicity in Dirichlet type spaces, 181-193 [Zbl 1460.47006]
Cheng, Raymond; Mashreghi, Javad; Ross, William T., Inner vectors for Toeplitz operators, 195-212 [Zbl 1501.47045]
Fournier, Richard; Roth, Oliver, Jack and Julia, 213-216 [Zbl 1442.30024]
Abdelali, Z.; Bourhim, A.; Mabrouk, M., Spectrum and local spectrum preservers of skew Lie products of matrices, 217-240 [Zbl 1460.47015]
Bickel, Kelly; Gorkin, Pamela, Numerical range and compressions of the shift, 241-261 [Zbl 1460.47003]
Galé, José E.; Martínez, María M.; Miana, Pedro J., On the asymptotics of \(n\)-times integrated semigroups, 263-272 [Zbl 1501.47077]
Arendt, W.; Chalendar, I., Powers of operators: convergence and decomposition, 273-280 [Zbl 1442.30026]

MSC:

30-06 Proceedings, conferences, collections, etc. pertaining to functions of a complex variable
30Cxx Geometric function theory
30Exx Miscellaneous topics of analysis in the complex plane
30Hxx Spaces and algebras of analytic functions of one complex variable
30Dxx Entire and meromorphic functions of one complex variable, and related topics
44Axx Integral transforms, operational calculus
46Fxx Distributions, generalized functions, distribution spaces
46Jxx Commutative Banach algebras and commutative topological algebras
47Axx General theory of linear operators
47Bxx Special classes of linear operators
47Dxx Groups and semigroups of linear operators, their generalizations and applications
00B25 Proceedings of conferences of miscellaneous specific interest
00B30 Festschriften

Biographic References:

Ransford, Thomas
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