Disk algebra
id:
disk-algebra-322-12222822
title:
Disk algebra
text:
In mathematics, specifically 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 ) that extend to a continuous function on the closure of D. That is, where H∞(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 (ƒ + g)(z) = ƒ(z) + g(z), and pointwise multiplication (ƒg)(z) = ƒ(z)g(z), th
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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Disk_algebra
date created:
date modified:
2022-06-29T00:22:00Z
main entity:
{"identifier":"Q2676720","url":"https://www.wikidata.org/entity/Q2676720"}
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13
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