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In mathematics, the Wiener algebra, named after Norbert Wiener and usually denoted by , is the space of absolutely convergent Fourier series.〔 〕 Here T denotes the circle group. ==Banach algebra structure== The norm of a function is given by : where : is the ''n''th Fourier coefficient of . The Wiener algebra is closed under pointwise multiplication of functions. Indeed, : therefore : Thus the Wiener algebra is a commutative unitary Banach algebra. Also, is isomorphic to the Banach algebra , with the isomorphism given by the Fourier transform. 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「Wiener algebra」の詳細全文を読む スポンサード リンク
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