Boundary interpolation for contractive-valued functions on circular domains in Cn

被引：0
|
作者：
Ball, JA [1 ]
Bolotnikov, V [1 ]
机构：
[1] Virginia Polytech Inst & State Univ, Dept Math, Blacksburg, VA 24061 USA
来源：
CURRENT TRENDS IN OPERATOR THEORY AND ITS APPLICATIONS | 2004年 / 149卷
关键词：
boundary interpolation; unitary extensions; characteristic function of a unitary colligation;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider a boundary interpolation problem for operator-valued functions defined on a class of bounded complete circular domains in C-n (including as particular cases, Cartan domains of types I, II and III) which satisfy the von Neumann's inequality. The solvability criterion is obtained and the set of all solutions is parametrized in terms of a family of Redheffer linear fractional transformations.
引用
收藏
页码：107 / 132
页数：26
相关论文
共 50 条
  • [41] BLENDING SURFACES ON CIRCULAR DOMAINS GENERATED BY HERMITE INTERPOLATION
    Birou, Marius
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2010, 55 (04): : 185 - 192
  • [42] Hidden variable vector valued fractal interpolation functions
    Bouboulis, P
    Dalla, L
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2005, 13 (03) : 227 - 232
  • [43] Interpolation of vector-valued real analytic functions
    Bonet, J
    Domanski, P
    Vogt, D
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2002, 66 : 407 - 420
  • [44] Zeta functions of nearly circular domains
    Kvitsinsky, AA
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (19): : 6379 - 6393
  • [45] Boundary value problems on Lipschitz domains in Rn or Cn
    Shaw, MC
    GEOMETRIC ANALYSIS OF PDE AND SEVERAL COMPLEX VARIABLES: DEDICATED TO FRANCOIS TREVES, 2005, 368 : 375 - 404
  • [46] ZERO AND INTERPOLATION SETS ON THE BOUNDARY OF STRICTLY PSEUDOCONVEX DOMAINS
    CHAUMAT, J
    CHOLLET, AM
    ARKIV FOR MATEMATIK, 1986, 24 (01): : 27 - 57
  • [47] Convergence in Law of Iterates of Weakly Contractive in Mean Random-Valued Functions
    Karol Baron
    Rafał Kapica
    Janusz Morawiec
    Results in Mathematics, 2024, 79
  • [48] Convergence in Law of Iterates of Weakly Contractive in Mean Random-Valued Functions
    Baron, Karol
    Kapica, Rafal
    Morawiec, Janusz
    RESULTS IN MATHEMATICS, 2024, 79 (02)
  • [49] A Multidimensional Boundary Analogue of Hartogs's Theorem on n-Circular Domains for Integrable Functions
    Otemuratov, Bairambay
    ALGEBRA, COMPLEX ANALYSIS, AND PLURIPOTENTIAL THEORY, 2018, 264 : 109 - 123
  • [50] A note on bi-contractive projections on spaces of vector valued continuous functions
    Botelho, Fernanda
    Rao, T. S. S. R. K.
    CONCRETE OPERATORS, 2018, 5 (01): : 42 - 49
12345