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Softcover ISBN:  9781470425340 
Product Code:  CONM/661 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
eBook ISBN:  9781470429348 
Product Code:  CONM/661.E 
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MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
Softcover ISBN:  9781470425340 
eBook ISBN:  9781470429348 
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Book DetailsContemporary MathematicsVolume: 661; 2016; 297 ppMSC: Primary 11; 26; 31; 33; 35; 40; 41; 42; 60
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, Logoptimal configurations on the sphere, random continued fractions, ratio asymptotics for multiple orthogonal polynomials, the bivariate trigonometric moment problem, minimal Riesz energy, random polynomials, Padé and HermitePadé approximation, orthogonal expansions, hyperbolic differential equations, Bergman polynomials, the Meijer \(G\)function, polynomial ensembles, and integer lattice points.
ReadershipGraduate students and research mathematicians interested in functional analysis.

Table of Contents

Articles

Doron S. Lubinsky — Ed Saff at Three Score and Ten

Vilmos Totik — The Tale of a Formula

P. D. Dragnev — Logoptimal Configurations on the Sphere

Lisa Lorentzen — Convergence of Random Continued Fractions and Random Iterations of Möbius Transformations

Walter Van Assche — Ratio Asymptotics for Multiple Orthogonal Polynomials

Jeffrey S. Geronimo and Andrew Pangia — Study of a Parameterization of the Bivariate Trigonometric Moment Problem

J. S. Brauchart — Explicit Formulas for the Riesz Energy of the $N$th Roots of Unity

Igor E. Pritsker — Asymptotic Zero Distribution of Random Polynomials Spanned by General Bases

G. López Lagomasino — On Row Sequences of Padé and HermitePadé Approximation

Yuan Xu — Orthogonal Expansions for Generalized Gegenbauer Weight Function on the Unit Ball

A. I. Aptekarev — The Mhaskar–Saff Variational Principle and Location of the Shocks of Certain Hyperbolic Equations

N. Stylianopoulos — Boundary Estimates for Bergman Polynomials in Domains with Corners

Andrei MartínezFinkelshtein, Evguenii A. Rakhmanov and Sergey P. Suetin — Asymptotics of Type I Hermite–Padé Polynomials for Semiclassical Functions

Annie Cuyt and Wenshin Lee — Sparse Interpolation and Rational Approximation

Yu Lin and R. Wong — Asymptotics of the Meijer $G$functions

Arno B. J. Kuijlaars — Transformations of Polynomial Ensembles

Jean Bourgain, Peter Sarnak and Zeév Rudnick — Local Statistics of Lattice Points on the Sphere

Marko Budišić and Mihai Putinar — Conditioning Moments of Singular Measures for Entropy Maximization II: Numerical Examples


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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, Logoptimal configurations on the sphere, random continued fractions, ratio asymptotics for multiple orthogonal polynomials, the bivariate trigonometric moment problem, minimal Riesz energy, random polynomials, Padé and HermitePadé approximation, orthogonal expansions, hyperbolic differential equations, Bergman polynomials, the Meijer \(G\)function, polynomial ensembles, and integer lattice points.
Graduate students and research mathematicians interested in functional analysis.

Articles

Doron S. Lubinsky — Ed Saff at Three Score and Ten

Vilmos Totik — The Tale of a Formula

P. D. Dragnev — Logoptimal Configurations on the Sphere

Lisa Lorentzen — Convergence of Random Continued Fractions and Random Iterations of Möbius Transformations

Walter Van Assche — Ratio Asymptotics for Multiple Orthogonal Polynomials

Jeffrey S. Geronimo and Andrew Pangia — Study of a Parameterization of the Bivariate Trigonometric Moment Problem

J. S. Brauchart — Explicit Formulas for the Riesz Energy of the $N$th Roots of Unity

Igor E. Pritsker — Asymptotic Zero Distribution of Random Polynomials Spanned by General Bases

G. López Lagomasino — On Row Sequences of Padé and HermitePadé Approximation

Yuan Xu — Orthogonal Expansions for Generalized Gegenbauer Weight Function on the Unit Ball

A. I. Aptekarev — The Mhaskar–Saff Variational Principle and Location of the Shocks of Certain Hyperbolic Equations

N. Stylianopoulos — Boundary Estimates for Bergman Polynomials in Domains with Corners

Andrei MartínezFinkelshtein, Evguenii A. Rakhmanov and Sergey P. Suetin — Asymptotics of Type I Hermite–Padé Polynomials for Semiclassical Functions

Annie Cuyt and Wenshin Lee — Sparse Interpolation and Rational Approximation

Yu Lin and R. Wong — Asymptotics of the Meijer $G$functions

Arno B. J. Kuijlaars — Transformations of Polynomial Ensembles

Jean Bourgain, Peter Sarnak and Zeév Rudnick — Local Statistics of Lattice Points on the Sphere

Marko Budišić and Mihai Putinar — Conditioning Moments of Singular Measures for Entropy Maximization II: Numerical Examples