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Mar 7, 2014 at 16:02 comment added Goulifet This note is clearly related with my second question (condition of positive-definiteness), but doesn't say anything on the conjecture. Indeed, Pandey is focusing on the case we already know that $L(\varphi)$ has the form expressed in my conjecture. He shows that a sufficient condition on $f$ expressed by Gel'fand is not necessary (with a counter-example) and gives himself a necessary (but not sufficient) condition. At least, it shows that one conjecture of Gel'fand was false! Thank you.
Mar 7, 2014 at 15:14 review First posts
Mar 7, 2014 at 15:28
Mar 7, 2014 at 14:55 history answered Dunham CC BY-SA 3.0