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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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