The support of the equilibrium measure in the presence of a monomial external field on $[-1,1]$
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Publication:4257594
DOI10.1090/S0002-9947-99-02509-XzbMath0943.31001OpenAlexW1569757872MaRDI QIDQ4257594
Steven B. Damelin, Arno B. J. Kuijlaars
Publication date: 31 August 1999
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02509-x
Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)
Related Items (11)
An Analytic and Numerical Analysis of Weighted Singular Cauchy Integrals with Exponential Weights on ℝ ⋮ On energy, discrepancy and group invariant measures on measurable subsets of Euclidean space ⋮ On point-mass Riesz external fields on the real axis ⋮ Weighted approximation for weak convex external fields ⋮ Rational approximation with varying weights. III ⋮ Generic behavior of the density of states in random matrix theory and equilibrium problems in the presence of real analytic external fields ⋮ Balayage ping-pong: a convexity of equilibrium measures ⋮ On the maximum modulus of weighted polynomials in the plane, a theorem of Rakhmanov, Mhaskar and Saff revisited. ⋮ Converse and smoothness theorems for Erdős weights in \(L_p\) \((0<p\leq\infty)\) ⋮ New results on the equilibrium measure for logarithmic potentials in the presence of an external field ⋮ On the finite-gap ansatz in the continuum limit of the Toda lattice
Cites Work
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- Where does the sup norm of a weighted polynomial live? (A generalization of incomplete polynomials)
- Strong asymptotics for extremal polynomials associated with weights on \({\mathbb{R}}\)
- Jackson theorems for Erdős weights in \(L_p\) \((0<p\leq \infty)\)
- New results on the equilibrium measure for logarithmic potentials in the presence of an external field
- Weighted approximation with varying weight
- Fast decreasing polynomials via potentials
- A problem of Totik on fast decreasing polynomials
- Fast decreasing polynomials
- EQUILIBRIUM MEASURE AND THE DISTRIBUTION OF ZEROS OF EXTREMAL POLYNOMIALS
- Equilibrium problems associated with fast decreasing polynomials
- A continuum limit of the Toda lattice
- Jackson and smoothness theorems for Freud weights in \(L_ p (0<p\leq\infty)\)
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