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Softcover ISBN:  9781470446925 
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Softcover ISBN:  9781470446925 
Product Code:  CONM/743 
List Price:  $120.00 
MAA Member Price:  $108.00 
AMS Member Price:  $96.00 
eBook ISBN:  9781470454531 
Product Code:  CONM/743.E 
List Price:  $120.00 
MAA Member Price:  $108.00 
AMS Member Price:  $96.00 
Softcover ISBN:  9781470446925 
eBook ISBN:  9781470454531 
Product Code:  CONM/743.B 
List Price:  $240.00 $180.00 
MAA Member Price:  $216.00 $162.00 
AMS Member Price:  $192.00 $144.00 

Book DetailsContemporary MathematicsCentre de Recherches Mathématiques ProceedingsVolume: 743; 2020; 280 ppMSC: Primary 30; 44; 46; 47
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 infinitedimensional 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.
ReadershipGraduate students and research mathematicians interested in functional analysis, complex analysis, and Fourier anaylsis.

Table of Contents

Articles

Constantin Costara — Additive maps preserving matrices of inner local spectral radius zero at some fixed vector

Norm Levenberg and Menuja Perera — A global domination principle for $P$pluripotential theory

Jean Esterle — A holomorphic functional calculus for finite families of commuting semigroups

Miron B. Bekker and Joseph A. Cima — An integral Hankel operator on $H^1(\mathbb {D})$

Alexander Belton, Dominique Guillot, Apoorva Khare and Mihai Putinar — A panorama of positivity. II: Fixed dimension

Anthony 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

Raymond Cheng, Javad Mashreghi and William T. Ross — Inner vectors for Toeplitz operators

Richard Fournier and Oliver Roth — Jack and Julia

Z. Abdelali, A. Bourhim and M. Mabrouk — Spectrum and local spectrum preservers of skew Lie products of matrices

Kelly Bickel and Pamela Gorkin — Numerical range and compressions of the shift

José E. Galé, María M. Martínez and Pedro J. Miana — On the asymptotics of $n$times integrated semigroups

W. Arendt and I. Chalendar — Powers of operators: convergence and decomposition


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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 infinitedimensional 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.
Graduate students and research mathematicians interested in functional analysis, complex analysis, and Fourier anaylsis.

Articles

Constantin Costara — Additive maps preserving matrices of inner local spectral radius zero at some fixed vector

Norm Levenberg and Menuja Perera — A global domination principle for $P$pluripotential theory

Jean Esterle — A holomorphic functional calculus for finite families of commuting semigroups

Miron B. Bekker and Joseph A. Cima — An integral Hankel operator on $H^1(\mathbb {D})$

Alexander Belton, Dominique Guillot, Apoorva Khare and Mihai Putinar — A panorama of positivity. II: Fixed dimension

Anthony 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

Raymond Cheng, Javad Mashreghi and William T. Ross — Inner vectors for Toeplitz operators

Richard Fournier and Oliver Roth — Jack and Julia

Z. Abdelali, A. Bourhim and M. Mabrouk — Spectrum and local spectrum preservers of skew Lie products of matrices

Kelly Bickel and Pamela Gorkin — Numerical range and compressions of the shift

José E. Galé, María M. Martínez and Pedro J. Miana — On the asymptotics of $n$times integrated semigroups

W. Arendt and I. Chalendar — Powers of operators: convergence and decomposition