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Sep 5, 2014 at 7:32 comment added Bazin The equality $\sum_{k\ge 0}\phi_k(\xi)=1$ is equivalent to $\sum_{k\ge 0}\phi_k(D)=Id.$
Sep 4, 2014 at 14:48 comment added Inquisitive thanks; would you please tell me, why $\|u\|_{L^{1}}= \|\sum_{k\geq 0}\phi_{k}(D)u\|_{L^{1}}$?(I guess, I need to use $\sum_{k=0}^{\infty}\phi_{k}(\xi)=1$ but I don,t know how); thanks
Sep 4, 2014 at 13:13 history answered Bazin CC BY-SA 3.0