Disk algebra

（重定向自Disc algebra）

In functional and complex analysis, the disk algebra A(D) (also spelled disc algebra) is the set of holomorphic functions

where D is the open unit disk in the complex plane C, f extends to a continuous function on the closure of D. That is,

where $H^\infty(\mathbf{D})$ denotes the Banach space of bounded analytic functions on the unit disc D (i.e. a Hardy space). When endowed with the pointwise addition, (f+g)(z)=f(z)+g(z), and pointwise multiplication,

单词	Disc algebra
释义	Disc algebra 英语百科 Disk algebra （重定向自Disc algebra） In functional and complex analysis, the disk algebra A(D) (also spelled disc algebra) is the set of holomorphic functions where D is the open unit disk in the complex plane C, f extends to a continuous function on the closure of D. That is, where $H^\infty(\mathbf{D})$ denotes the Banach space of bounded analytic functions on the unit disc D (i.e. a Hardy space). When endowed with the pointwise addition, (f+g)(z)=f(z)+g(z), and pointwise multiplication,
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