Recall that a kernel conditionaly of negative type on a set is a map with the following properties:
1)
2)
3) for any elements and all real numbers , with , the following inequality holds:
Let be a discrete group.
Recall that a function is conditionally of
negative type if the kernel , defined by is conditionaly of negative type.
Does there exist class of discrete groups which admit an explicit description of functions which are conditionaly of negative type?
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