Modern Trends in Constructive Function Theory
Will be published approx. on 30. April 2016
Book
Paperback/Softback
297 pages
978-1-4704-2534-0 (ISBN)
Description
This volume contains the proceedings of the conference Constructive Functions 2014, held from May 26-30, 2014, at Vanderbilt University, Nashville, TN, in honor of Ed Saff's 70th birthday.
The papers in this volume contain results on polynomial approximation, rational approximation, Log-optimal configurations on the sphere, random continued fractions, ratio asymptotics for multiple orthogonal polynomials, the bivariate trigonometric moment problem, minimal Riesz energy, random polynomials, Pade and Hermite-Pade approximation, orthogonal expansions, hyperbolic differential equations, Bergman polynomials, the Meijer $G$-function, polynomial ensembles, and integer lattice points.
The papers in this volume contain results on polynomial approximation, rational approximation, Log-optimal configurations on the sphere, random continued fractions, ratio asymptotics for multiple orthogonal polynomials, the bivariate trigonometric moment problem, minimal Riesz energy, random polynomials, Pade and Hermite-Pade approximation, orthogonal expansions, hyperbolic differential equations, Bergman polynomials, the Meijer $G$-function, polynomial ensembles, and integer lattice points.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
444 gr
ISBN-13
978-1-4704-2534-0 (9781470425340)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Douglas P. Hardin, Vanderbilt University, Nashville, TN, USA.
Doron S. Lubinsky, Georgia Institute of Technology, Atlanta, GA, USA.
Brian Z. Simanek, Vanderbilt University, Nashville, TN, USA.
Doron S. Lubinsky, Georgia Institute of Technology, Atlanta, GA, USA.
Brian Z. Simanek, Vanderbilt University, Nashville, TN, USA.
Content
Ed Saff at three score and ten by D. S. Lubinsky
The tale of a formula by V. Totik
Log-optimal configurations on the sphere by P. D. Dragnev
Convergene of random continued fractions and random iterations of Mobius transformations by L. Lorentzen
Ratio asymptotics for multiple orthogonal polynomials by W. Van Assche
Study of a parametrization of the bivariate trigonometric moment problem by J. S. Geronimo and A. Pangia
Explicit formulas for the Riesz energy of the $N$th roots of unity by J. S. Brauchart
Asymptotic zero distribution of random polynomials spanned by general bases by I. E. Pritsker
On row sequences of Pade and Hermite-Pade approximation by G. Lopez Lagomasino
Orthogonal expansions for generalized Gegenbauer weight function on the unit ball by Y. Xu
The Mhaskar-Saff variational principle and location of the shocks of certain hyperbolic equations by A. I. Aptekarev
Boundary estimates for Bergman polynomials in domains with corners by N. Stylianopoulos
Asymptotics of type I Hermite-Pade polynomials for semiclassical functions by A. Martinez-Finkelshtein, E. A. Rakhmanov, and S. P. Suetin
Sparse interpolation and rational approximation by A. Cuyt and W.-S. Lee
Asymptotics of the Meijer $G$-functions by Y. Lin and R. Wong
Transformations of polynomial ensembles by A. B. J. Kuijlaars
Local statistics of lattice points on the sphere by J. Bourgain, P. Sarnak, and Z. Rudnick
Conditioning moments of singular measures for entropy maximization II: Numerical examples by M. Budisic and M. Putinar
The tale of a formula by V. Totik
Log-optimal configurations on the sphere by P. D. Dragnev
Convergene of random continued fractions and random iterations of Mobius transformations by L. Lorentzen
Ratio asymptotics for multiple orthogonal polynomials by W. Van Assche
Study of a parametrization of the bivariate trigonometric moment problem by J. S. Geronimo and A. Pangia
Explicit formulas for the Riesz energy of the $N$th roots of unity by J. S. Brauchart
Asymptotic zero distribution of random polynomials spanned by general bases by I. E. Pritsker
On row sequences of Pade and Hermite-Pade approximation by G. Lopez Lagomasino
Orthogonal expansions for generalized Gegenbauer weight function on the unit ball by Y. Xu
The Mhaskar-Saff variational principle and location of the shocks of certain hyperbolic equations by A. I. Aptekarev
Boundary estimates for Bergman polynomials in domains with corners by N. Stylianopoulos
Asymptotics of type I Hermite-Pade polynomials for semiclassical functions by A. Martinez-Finkelshtein, E. A. Rakhmanov, and S. P. Suetin
Sparse interpolation and rational approximation by A. Cuyt and W.-S. Lee
Asymptotics of the Meijer $G$-functions by Y. Lin and R. Wong
Transformations of polynomial ensembles by A. B. J. Kuijlaars
Local statistics of lattice points on the sphere by J. Bourgain, P. Sarnak, and Z. Rudnick
Conditioning moments of singular measures for entropy maximization II: Numerical examples by M. Budisic and M. Putinar