翻訳と辞書 Words near each other ・ Conley's Ford Covered Bridge ・ Conley, Georgia ・ Conley-Caraballo High School ・ Conleyus ・ Conley–Zehnder theorem ・ Conlie ・ Conlig ・ Conlig railway station ・ Conlin ・ Conlin McCabe ・ Conlin's Furniture ・ Conjugate diameters ・ Conjugate element (field theory) ・ Conjugate eye movement ・ Conjugate focal plane ・ Conjugate Fourier series ・ Conjugate gaze palsy ・ Conjugate gradient method ・ Conjugate index ・ Conjugate points ・ Conjugate prior ・ Conjugate residual method ・ Conjugate transpose ・ Conjugate vaccine ・ Conjugate variables ・ Conjugate variables (thermodynamics) ・ Conjugate-permutable subgroup ・ Conjugated estrogen ・ Conjugated fatty acid ・ Conjugated linoleic acid 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 Conjugate Fourier series ： ウィキペディア英語版 Conjugate Fourier series In the mathematical field of Fourier analysis, the conjugate Fourier series arises by realizing the Fourier series formally as the boundary values of the real part of a holomorphic function on the unit disc. The imaginary part of that function then defines the conjugate series. studied the delicate questions of convergence of this series, and its relationship with the Hilbert transform. In detail, consider a trigonometric series of the form :$f(\backslash theta)\; =\; \backslash tfrac12\; a\_0\; +\; \backslash sum\_^\backslash infty\; \backslash left(a\_n\backslash cos\; n\backslash theta\; +\; b\_n\backslash sin\; n\backslash theta\backslash right)$ in which the coefficients ''a''''n'' and ''b''''n'' are real numbers. This series is the real part of the power series :$F(z)\; =\; \backslash tfrac12\; a\_0\; +\; \backslash sum\_^\backslash infty\; (a\_n-ib\_n)z^n$ along the unit circle with $z=e^$. The imaginary part of ''F''(''z'') is called the conjugate series of ''f'', and is denoted :$\backslash tilde(\backslash theta)\; =\; \backslash sum\_^\backslash infty\; \backslash left(a\_n\backslash sin\; n\backslash theta\; -\; b\_n\backslash cos\; n\backslash theta\backslash right).$ ==See also== * Harmonic conjugate 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「Conjugate Fourier series」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.