Contemporary Mathematics
Volume: 661;
2016;
297 pp;
Softcover
MSC: Primary 11; 26; 31; 33; 35; 40; 41; 42; 60;
Print ISBN: 978-1-4704-2534-0
Product Code: CONM/661
List Price: $108.00
AMS Member Price: $86.40
MAA Member Price: $97.20
Electronic ISBN: 9781-4704-2934-8
Product Code: CONM/661.E
List Price: $108.00
AMS Member Price: $86.40
MAA Member Price: $97.20
Modern Trends in Constructive Function Theory
Share this pageEdited by Douglas P. Hardin; Doron S. Lubinsky; Brian Z. Simanek
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
Modern Trends in Constructive Function Theory
- Cover Cover11
- Title page iii4
- Contents vii8
- Chapter 1. Preface ix10
- Ed Saff at Three Score and Ten 112
- The Tale of a Formula 2940
- Log-optimal Configurations on the Sphere 4152
- Convergence of Random Continued Fractions and Random Iterations of Möbius Transformations 5768
- Ratio Asymptotics for Multiple Orthogonal Polynomials 7384
- Study of a Parameterization of the Bivariate Trigonometric Moment Problem 8798
- Explicit Formulas for the Riesz Energy of the 𝑁th Roots of Unity 101112
- Asymptotic Zero Distribution of Random Polynomials Spanned by General Bases 121132
- On Row Sequences of Padé and Hermite-Padé Approximation 141152
- Orthogonal Expansions for Generalized Gegenbauer Weight Function on the Unit Ball 153164
- The Mhaskar–Saff Variational Principle and Location of the Shocks of Certain Hyperbolic Equations 167178
- 1. Introduction 167178
- 2. Asymptotics of orthogonal polynomials and equilibrium in the external field 169180
- 3. Variational principle for the position of the shock of the Hopf equation 171182
- 4. Integrable discretization of a hyperbolic system 174185
- 5. Multidimensional generalizations 179190
- References 183194
- Boundary Estimates for Bergman Polynomials in Domains with Corners 187198
- Asymptotics of Type I Hermite–Padé Polynomials for Semiclassical Functions 199210
- Sparse Interpolation and Rational Approximation 229240
- Asymptotics of the Meijer 𝐺-functions 243254
- Transformations of Polynomial Ensembles 253264
- Local Statistics of Lattice Points on the Sphere 269280
- Conditioning Moments of Singular Measures for Entropy Maximization II: Numerical Examples 283294
- Back Cover Back Cover1312