可分 Hilbert 空間
f;g 2 L2(R) に対して内積を (f j g) =Z R f(t)g(t)dt で定義する. このときノルムは kfk = sZ R jf(t)j2dt となる. g はR上の複素数値連続関数とする. ft 2 Rj jg(t)j 6= 0g の閉包をg のサポートといい, サポートがコンパクトである連続関数をコンパクトサ ポートを持つ連続関数といい, …
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