翻訳と辞書 Words near each other ・ Progressive Republicans (France) ・ Progressive retinal atrophy ・ Progressive revelation ・ Progressive revelation (Bahá'í) ・ Progressive revelation (Christianity) ・ Progressive Review ・ Progressive Episcopalians of Pittsburgh ・ Progressive Era ・ Progressive familial intrahepatic cholestasis ・ Progressive Farmers and Household Union of America ・ Progressive Federal Party ・ Progressive Field ・ Progressive folk ・ Progressive Force ・ Progressive Front ・ Progressive function ・ Progressive Governors Forum ・ Progressive Graphics File ・ Progressive Green Party ・ Progressive Green Party (New Zealand) ・ Progressive Group for Independent Business ・ Progressive Heritage ・ Progressive History X ・ Progressive History XXX ・ Progressive Hong Kong Society ・ Progressive house ・ Progressive illumination ・ Progressive inflammatory neuropathy ・ Progressive Initiative ・ Progressive inquiry Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Progressive function ： ウィキペディア英語版 Progressive function In mathematics, a progressive function ''ƒ'' ∈ ''L''2(R) is a function whose Fourier transform is supported by positive frequencies only: :$\backslash mathop\backslash hat\; \backslash subseteq\; \backslash mathbb\_+.$ It is called super regressive if and only if the time reversed function ''f''(−''t'') is progressive, or equivalently, if :$\backslash mathop\backslash hat\; \backslash subseteq\; \backslash mathbb\_-.$ The complex conjugate of a progressive function is regressive, and vice versa. The space of progressive functions is sometimes denoted $H^2\_+(R)$, which is known as the Hardy space of the upper half-plane. This is because a progressive function has the Fourier inversion formula :$f(t)\; =\; \backslash int\_0^\backslash infty\; e^\; \backslash hat\; f(s)\backslash ,\; ds$ and hence extends to a holomorphic function on the upper half-plane $\backslash$ by the formula :$f(t+iu)\; =\; \backslash int\_0^\backslash infty\; e^\; \backslash hat\; f(s)\backslash ,\; ds$ = \int_0^\infty e^ e^ \hat f(s)\, ds. Conversely, every holomorphic function on the upper half-plane which is uniformly square-integrable on every horizontal line will arise in this manner. Regressive functions are similarly associated with the Hardy space on the lower half-plane $\backslash$. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Progressive function」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.