Holomorphic Semi-almost Periodic Functions

被引:0
|
作者
Alexander Brudnyi
Damir Kinzebulatov
机构
[1] University of Calgary,Department of Mathematics and Statistics, Math Science Building, Room 476, 612 Campus Place
[2] University of Toronto,Department of Mathematics
来源
关键词
Primary 30H05; Secondary 46J20; Approximation property; semi-almost periodic functions; maximal ideal space;
D O I
暂无
中图分类号
学科分类号
摘要
We study the Banach algebras of bounded holomorphic functions on the unit disk whose boundary values, having, in a sense, the weakest possible discontinuities, belong to the algebra of semi-almost periodic functions on the unit circle. The latter algebra contains as a special case an algebra introduced by Sarason in connection with some problems in the theory of Toeplitz operators.
引用
收藏
页码:293 / 325
页数:32
相关论文
共 50 条
  • [32] Almost periodic currents and holomorphic chains
    Favorov, S
    Rashkovskii, A
    Ronkin, L
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1998, 327 (05): : 445 - 449
  • [33] On the Fredholm index of matrix Wiener-Hopf plus/minus Hankel operators with semi-almost periodic symbols
    Bogveradze, Giorgi
    Castro, Luis P.
    OPERATOR ALGEBRAS, OPERATOR THEORY AND APPLICATIONS, 2008, 181 : 143 - 158
  • [34] PERIODIC AND ALMOST PERIODIC FUNCTIONS
    Castro, Edwin
    Arguedas, Vernor
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2006, 51 (03): : 31 - 40
  • [35] HOLOMORPHIC FUNCTIONS ON ALMOST COMPLEX MANIFOLDS
    Han, Chong-Kyu
    Kim, Hyeseon
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2012, 49 (02) : 379 - 394
  • [36] Almost holomorphic extensions of ultradifferentiable functions
    Mats Andersson
    Bo Berndtsson
    Journal d’Analyse Mathématique, 2003, 89 : 337 - 365
  • [37] Almost holomorphic extensions of ultradifferentiable functions
    Andersson, M
    Berndtsson, B
    JOURNAL D ANALYSE MATHEMATIQUE, 2003, 89 (1): : 337 - 365
  • [38] The secular constant of an almost periodic holomorphic function
    Levine, B
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES DE L URSS, 1941, 33 (03): : 182 - 185
  • [39] ALMOST PERIODIC FUNCTIONS
    PECK, JEL
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1952, 3 (01) : 107 - 110
  • [40] PERIODIC FUNCTIONS OF HOLOMORPHIC QUADRATURE
    SCHONHAGE, A
    JOURNAL OF APPROXIMATION THEORY, 1975, 13 (04) : 341 - 347