Re: commutes with translation

In article <1175319591.265280.238540@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
Fedor <malabar_carotte@xxxxxxxxx> wrote:

hi all,

how can one prove that a linear bounded operator T:L^1(R) -> L^1(R)
that commutes with translation is of the following form:
T(f)=f * \mu
where \mu is a measure (and * is the convolution)?

thanx,
Fedor


Of course, \mu could be a signed measure... or a complex measure?
.

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