[分析] 一個無窮乘積的問題(複變)

看板Math作者Bourbaki (大狐狸)時間15年前 (2011/01/06 02:12)推噓2(2推 0噓 3→)

留言5則, 2人參與討論串1/1

Stein p.141 Prop 3.2 Suppose {F_i} is a sequence of holomorphic function on the open set Ω. If there exist constants c_i > 0 such that Σc_i<∞ and |F_i(z)-1| < c_i for all z in Ω. n ∞ Want To Show f_n(z)= Π F_i(z) converges uniformly to Π F_i(z) 1 1 請問要怎麼做uniformly的部份呢書上只說因為c_i是常數所以就uniform= = 話說這本書上的證明常常都好難看懂>"< 謝謝^^ -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 61.224.44.72

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yusd24

01/06 07:47, , 1^F

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yusd24

01/06 07:48, , 2^F

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yusd24

01/06 07:48, , 3^F

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