Let mu is an element of A(R)'. The surjectivity of the convolution operator T mu := mu* on real analytic functions is characterized by two equivalent conditions: (1) T mu admits hyperfunctional elementary solutions E(+) (and E(-)), which are analytic on an angular neighbourhood of ]-infinity, C[ (respectively, ]-C, infinity[) for some C less than or equal to 0. (2) The Fourier tranform (
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机译：令mu是A（R）'的元素。卷积算子T mu：= mu *在实数解析函数上的相斥性具有两个等价条件：（1）T mu接受超函数基本解E（+）（和E（-）），它们在一个角度上进行解析-infinity的邻域，对于某些小于或等于0的C，C [（分别为-C，infinity [）。）（2）傅立叶变换（
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