Weighted energy problem on the unit circle

Constructive Approximation

Volumn 23, Issue 1, 2005, Pages 103-120

  Pritsker, Igor E ^a  

^a OKLAHOMA STATE UNIVERSITY   (United States)

Author keywords

Equilibrium measure; External fields; Potentials; Weighted capacity

Indexed keywords

EID: 29644431916     PISSN: 01764276     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00365-005-0595-8     Document Type: Article

References (14)

1. J. BAIK, P. DEIFT, K. JOHANSSON (1990): On the distribution of the length of the longest increasing subsequence of random permutations. J. Amer. Math. Soc., 12:1119-1178.
2. E. BOMBIERI, J. D. VAALER (1987): Polynomials with low height and prescribed vanishing. In: Analytic Number Theory and Diophantine Problems (Stillwater, OK, 1984), pp. 53-73. Boston, MA: Birkhäuser.
3. P. DEIFT, T. KREICHERBAUER, K. T.-R. MCLAUGHLIN (1998): New results on the equilibrium measure for logarithmic potentials in the presence of an external field. J. Approx. Theory, 95:388-475.
4. J. B. GARNETT (1981): Bounded Analytic Functions. New York: Academic Press.
5. G. M. GOLUZIN (1969): Geometric Theory of Functions of a Complex Variable. Providence, RI: American Mathematical Society.
6. d, d ≥ 3. Potential Anal., 13:345-359.
7. N. I. MUSKHELISHVILI (1941): Application of integrals of Cauchy type to a class of singular integral equations. Trans. Inst. Math. Tbilissi, 10:1-43 (Russian).
8. N. I. MUSKHELISHVILI (1992): Singular Integral Equations. New York: Dover.
9. I. E. PRITSKER (to appear): Small polynomials with integer coefficients. J. Analyse Math. Available electronically at http://www.math.okstate.edu/~igor/ intcheb.ps
10. I. E. PRITSKER (to appear): The Gelfond-Schnirelman method in prime number theory. Canad. J. Math. Available electronically at http://www.math. okstate.edu/~igor/gsm.pdf
11. I. E. PRITSKER, J. D. VAALER (to appear): The height of subspaces of polynomials. Manuscript.
12. I. E. PRITSKER, R. S. VARGA (1997): The Szego curve, zero distribution and weighted approximation. Trans. Amer. Math. Soc., 349:4085-4105.
13. I. E. PRITSKER, R. S. VARGA (1998): Weighted polynomial approximation in the complex plane. Constr. Approx., 14:475-492.
14. E. B. SAFF, V. TOTIK (1997): Logarithmic Potentials with External Fields. Berlin: Springer-Verlag.