The Theory of Harmonic Spaces

Bertram Walsh · 1975

Let {X9 jf) be a harmonic space in the sense of H. Bauer's address. This report is devoted to exposition of some things one can say, and questions one can ask, about X and ffl from the standpoints of topology, functional analysis, and sheaf theory. While it will seem that potential theory does not appear explicitly and probabil­ istic considerations are absent, one should keep in mind W. Hansen's work [13] showing that the operators we shall examine are either semigroup generators or

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