Orthogonal polynomials in C-n

被引:0
|
作者
Bloom, T
机构
关键词
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study orthogonal polynomials in C-n following the one-variable approach of H. Stahl and V. Totik in their book ''General Orthogonal Polynomials.'' We define the concept for a finite, positive, Borel measure mu on C-n to have regular asymptotic distribution (denoted mu epsilon Reg). We show that if supp(mu) is regular (in the sense of pluripotential theory) then mu epsilon Reg is equivalent to mu satisfying the Bernstein-Markov inequality. We also show that, in this case, a sufficient condition that mu satisfies the Bernstein-Markov inequality is that it be ''dense'' at a set of points of full capacity in its support. This yields new classes of measures satisfying the Bernstein-Markov inequality.
引用
收藏
页码:427 / 452
页数:26
相关论文
共 50 条
  • [1] SYMMETRIC *-POLYNOMIALS ON C-n
    Vasylyshyn, T. V.
    CARPATHIAN MATHEMATICAL PUBLICATIONS, 2018, 10 (02) : 395 - 401
  • [2] On the shared values of entire functions and their partial differential polynomials in C-n
    Berenstein, CA
    Chang, DC
    Li, BQ
    FORUM MATHEMATICUM, 1996, 8 (03) : 379 - 396
  • [3] Unavoidable sets for holomorphic maps from C-n to C-n
    Ounaies, M
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1996, 322 (05): : 433 - 438
  • [4] PHOSPHOROTROPIC TAUTOMERIC MIGRATIONS OF PHOSPHORANIL GROUPING IN PENTADE N=C-N=C-N
    NEGREBETSKII, VV
    KALCHENKO, VI
    BALITSKAYA, OV
    KORNILOV, MY
    MARKOVSKII, LN
    ZHURNAL OBSHCHEI KHIMII, 1984, 54 (08): : 1764 - 1767
  • [6] Diastereoselective Oxidative C-N/C-O and C-N/C-N Bond Formation Tandems Initiated by Visible Light: Synthesis of Fused N-Arylindolines
    Morris, Scott A.
    Nguyen, Theresa H.
    Zheng, Nan
    ADVANCED SYNTHESIS & CATALYSIS, 2015, 357 (10) : 2311 - 2316
  • [7] Orthogonal Discrimination among Functional Groups in Ullmann-Type C-O and C-N Couplings
    Rovira, Mireia
    Soler, Marta
    Guell, Imma
    Wang, Ming-Zheng
    Gomez, Laura
    Ribas, Xavi
    JOURNAL OF ORGANIC CHEMISTRY, 2016, 81 (17): : 7315 - 7325
  • [8] The Schwarzian derivative of C-n
    Yu, QH
    Gong, S
    CHINESE SCIENCE BULLETIN, 1995, 40 (22): : 1873 - 1874
  • [9] PERIODIC AUTOMORPHISMS OF C-N
    AHERN, P
    RUDIN, W
    INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1995, 44 (01) : 287 - 303
  • [10] THE HULL OF A CURVE IN C-N
    WERMER, J
    ANNALS OF MATHEMATICS, 1958, 68 (03) : 550 - 561