Bisymmetric functionals revisited or a converse of the Fubini theorem. (English) Zbl 1444.39027
Summary: We observe that bisymmetry is in fact the assertion of the Fubini theorem and we describe the form of general bisymmetric operations on some function spaces.
MSC:
| 39B52 | Functional equations for functions with more general domains and/or ranges |
| 43A07 | Means on groups, semigroups, etc.; amenable groups |
| 47A67 | Representation theory of linear operators |
Keywords:
functional equations; bisymmetry; Fubini theorem; representation of bisymmetric functionalsReferences:
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