…When f is square integrable in (-∞, ∞), for any a > 0, there exists a square integrable function F ( t ) such that is square integrable in t . When (5) holds, we write and say that F a converges to F in mean (the symbol lim is read as limit in mean). In this case, (2) holds in the sense of … *Some of the terminology explanations that mention "lim" are listed below. Source | Heibonsha World Encyclopedia 2nd Edition | Information |
…fが(-∞,∞)で2乗可積分のときは,任意のa>0に対して,がtについて2乗可積分であって,なる2乗可積分関数F(t)が存在する。(5)が成り立つとき,と書きFaがFに平均収束するという(記号l.i.m.はlimit in meanと読む)。このとき(2)は,の意味で成立する。… ※「l.i.m.」について言及している用語解説の一部を掲載しています。 出典|株式会社平凡社世界大百科事典 第2版について | 情報 |
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