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関数解析学 - miniwiki

関数解析学

提供: miniwiki

2018/8/19/ (日) 17:42時点におけるAdmin (トーク | 投稿記録)による版 (1版をインポートしました)

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関数解析学（かんすうかいせきがく、英: functional analysis）は数学（特に解析学）の一分野で、フーリエ変換や微分方程式、積分方程式などの研究に端を発している。特定のクラスの関数からなるベクトル空間にある種の位相構造を定めた関数空間や、その公理化によって得られる線形位相空間の構造が研究される。主な興味の対象は、様々な関数空間上で積分や微分によって定義される線型作用素の振る舞いを通じた積分方程式や微分方程式の線型代数学的取り扱いであり、無限次元ベクトル空間上の線型代数学と捉えられることも多い。

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関数解析学

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