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Modern Trends in Constructive Function Theory
 
Edited by: Douglas P. Hardin Vanderbilt University, Nashville, TN
Doron S. Lubinsky Georgia Institute of Technology, Atlanta, GA
Brian Z. Simanek Vanderbilt University, Nashville, TN
Modern Trends in Constructive Function Theory
Softcover ISBN:  978-1-4704-2534-0
Product Code:  CONM/661
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  9781-4704-2934-8
Product Code:  CONM/661.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-2534-0
eBook: ISBN:  9781-4704-2934-8
Product Code:  CONM/661.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Modern Trends in Constructive Function Theory
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Modern Trends in Constructive Function Theory
Edited by: Douglas P. Hardin Vanderbilt University, Nashville, TN
Doron S. Lubinsky Georgia Institute of Technology, Atlanta, GA
Brian Z. Simanek Vanderbilt University, Nashville, TN
Softcover ISBN:  978-1-4704-2534-0
Product Code:  CONM/661
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  9781-4704-2934-8
Product Code:  CONM/661.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-2534-0
eBook ISBN:  9781-4704-2934-8
Product Code:  CONM/661.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 6612016; 297 pp
    MSC: 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, 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, Padé and Hermite-Padé approximation, orthogonal expansions, hyperbolic differential equations, Bergman polynomials, the Meijer \(G\)-function, polynomial ensembles, and integer lattice points.

    Readership

    Graduate 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 — Log-optimal 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 Hermite-Padé 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 Martínez-Finkelshtein, Evguenii A. Rakhmanov and Sergey P. Suetin — Asymptotics of Type I Hermite–Padé Polynomials for Semiclassical Functions
    • Annie Cuyt and Wen-shin 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
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 6612016; 297 pp
MSC: 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, 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, Padé and Hermite-Padé approximation, orthogonal expansions, hyperbolic differential equations, Bergman polynomials, the Meijer \(G\)-function, polynomial ensembles, and integer lattice points.

Readership

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 — Log-optimal 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 Hermite-Padé 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 Martínez-Finkelshtein, Evguenii A. Rakhmanov and Sergey P. Suetin — Asymptotics of Type I Hermite–Padé Polynomials for Semiclassical Functions
  • Annie Cuyt and Wen-shin 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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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