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量子力学のデリケートな部分に数学として光を当てた待望の解説書。本巻は数学的準備として,抽象ヒルベルト空間と線形演算子の理論の基礎を展開。〔内容〕ヒルベルト空間と線形演算子/スペクトル理論/付:測度と積分,フーリエ変換他