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Date(投稿日時):Subject(見出し):From(投稿者):
25622009/03/16Hilbert空間についての正誤判定kyokoyoshida123@gmail.com
25612009/03/16Re: R^d $B!@ (B{0} $B$NG$0U$N3+=89g$O (BR_+ $B!_ (B S^{d-1} $B$N2D;;8D$NOB=89g$GI=$5$l$k;v$r<($; (Bkyokoyoshida123@gmail.com
25602009/03/16Re: f(x_1,x_2) $B$,&L (B_1 $B!_&L (B_2 $B2D@Q$J$i (Ba.e.x_2 $B": (BX_2 $B$G (Bf(x_1,x_2) $B$O&L (B_1 $B2D@Q (Bkyokoyoshida123@gmail.com
25592009/03/16Re: f:R^2 $B"* (B[- $B!g (B, $B!g (B] $B$N;~ (B, $B"i (B_{R^2} f(x)dx= $B"i (B_0^{2 $B&P (B}( $B"i (B_0^ $B!g (B f(rcos( $B&U (B),rsin( $B&U (B))dr)d $B&U$r<($; (Bkyokoyoshida123@gmail.com
25582009/03/16Re: $B&L (B $B$r (BBorel $BB,EY$H$9$k;~ (B, $B&L$,M-8B"N&W (B:f $B"* (BL(f)::= $B"i (B_a^b f(x)d $B&L (B(x) $B$O@~7AHF<LA|$r$J$9 (Bkyokoyoshida123@gmail.com
25572009/03/15Re: f(x_1,x_2)がμ_1×μ_2可積ならa.e.x_2∈X_2でf(x_1,x_2)はμ_1可積chiaki@kit.ac.jp (Tsukamoto Chiaki)
25562009/03/15Re: μ をBorel測度とする時, μが有限⇔ψ:f→L(f)::=∫_a^b f(x)dμ(x)は線形汎写像をなすchiaki@kit.ac.jp (Tsukamoto Chiaki)
25552009/03/15Re: $B&L (B $B$r (BBorel $BB,EY$H$9$k;~ (B, $B&L$,M-8B"N&W (B:f $B"* (BL(f)::= $B"i (B_a^b f(x)d $B&L (B(x) $B$O@~7AHF<LA|$r$J$9 (Bkyokoyoshida123@gmail.com
25542009/03/15Re: f(x_1,x_2) $B$,&L (B_1 $B!_&L (B_2 $B2D@Q$J$i (Ba.e.x_2 $B": (BX_2 $B$G (Bf(x_1,x_2) $B$O&L (B_1 $B2D@Q (Bkyokoyoshida123@gmail.com
25532009/03/14Re: μ をBorel測度とする時, μが有限⇔ψ:f→L(f)::=∫_a^b f(x)dμ(x)は線形汎写像をなすchiaki@kit.ac.jp (Tsukamoto Chiaki)
25522009/03/14Re: $B&L (B $B$r (BBorel $BB,EY$H$9$k;~ (B, $B&L$,M-8B"N&W (B:f $B"* (BL(f)::= $B"i (B_a^b f(x)d $B&L (B(x) $B$O@~7AHF<LA|$r$J$9 (Bkyokoyoshida123@gmail.com
25512009/03/13Re: f:R^2→[-∞,∞]の時,∫_{R^2} f(x)dx=∫_0^{2π}(∫_0^∞ f(rcos(φ),rsin(φ))dr)dφを示せchiaki@kit.ac.jp (Tsukamoto Chiaki)
25502009/03/13Re: R^d＼{0}の任意の開集合はR_+ × S^{d-1}の可算個の和集合で表される事を示せchiaki@kit.ac.jp (Tsukamoto Chiaki)
25492009/03/13Re: μ をBorel測度とする時, μが有限⇔ψ:f→L(f)::=∫_a^b f(x)dμ(x)は線形汎写像をなすchiaki@kit.ac.jp (Tsukamoto Chiaki)
25482009/03/13Re: f:R^2 $B"* (B[- $B!g (B, $B!g (B] $B$N;~ (B, $B"i (B_{R^2} f(x)dx= $B"i (B_0^{2 $B&P (B}( $B"i (B_0^ $B!g (B f(rcos( $B&U (B),rsin( $B&U (B))dr)d $B&U$r<($; (Bkyokoyoshida123@gmail.com
25472009/03/13Re: R^d $B!@ (B{0} $B$NG$0U$N3+=89g$O (BR_+ $B!_ (B S^{d-1} $B$N2D;;8D$NOB=89g$GI=$5$l$k;v$r<($; (Bkyokoyoshida123@gmail.com
25462009/03/13Re: $B&L (B $B$r (BBorel $BB,EY$H$9$k;~ (B, $B&L$,M-8B"N&W (B:f $B"* (BL(f)::= $B"i (B_a^b f(x)d $B&L (B(x) $B$O@~7AHF<LA|$r$J$9 (Bkyokoyoshida123@gmail.com
25452009/03/11Re: R^d＼{0}の任意の開集合はR_+ × S^{d-1}の可算個の和集合で表される事を示せchiaki@kit.ac.jp (Tsukamoto Chiaki)
25442009/03/11Re: μ をBorel測度とする時, μが有限⇔ψ:f→L(f)::=∫_a^b f(x)dμ(x)は線形汎写像をなすchiaki@kit.ac.jp (Tsukamoto Chiaki)
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