HYPERGROUPS OF INTEGRAL OPERATORS IN CONNECTIONS WITH TRANSFORMATION STRUCTURES
Abstract
This contribution is a continuation of the paper [4] (here not defined concepts can be found there). It uses the results from it and the fact that the basic group of integral operators contains an invariant subgroup, which allows us to obtain a closed, invertible, reflexive and normal subhypergroup of the target transposition hypergroup. We will construct a discrete transformation hypergroup - in fact an action of hypergroup of integral operators on the space of continuous functions, which are created by Fredholm integral equations of the second kind, as a phase set.
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