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Aug 1, 2017 at 18:38 comment added Henry.L @AbdelmalekAbdesselam I think doob will clarify the problem a bit, at least. But let me write a more detailed answer as you asked for in the OP when I looked through it. sorry for that.
Aug 1, 2017 at 16:11 comment added Abdelmalek Abdesselam I checked the references. Turned out to be a waste of time.
Aug 1, 2017 at 1:12 comment added Henry.L @AbdelmalekAbdesselam Sure, will definitely try to give a better answer.
Aug 1, 2017 at 0:49 comment added Abdelmalek Abdesselam I don't know what you mean by "It is impossible to have all processes". The statements above are Theorems and I know how to prove them. I am sure I am not the first one so I would like a reference I can just cite for these results. You can forget about Bochner. It's not that important. The statement in bold is the one I would like a reference for.
Aug 1, 2017 at 0:45 comment added Henry.L @AbdelmalekAbdesselam It is impossible to have all processes...we need to put some assumptions on the processes even in Bochner's theorem, will think again.
Aug 1, 2017 at 0:43 comment added Abdelmalek Abdesselam I want all processes without simplifying hypotheses like stationarity. At first sight your answer does not seem to address the main issues raised in my question, but I will look at these references tomorrow.
Aug 1, 2017 at 0:31 history answered Henry.L CC BY-SA 3.0