Vol. 58, No. 2, 1975

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The Haar integral via non-standard analysis

Ronald Brian Kirk

Vol. 58 (1975), No. 2, 517–527

Since its discovery by A. Robinson in 1961, nonstandard analysis has been applied by an increasing number of authors to various parts of mathematics with the result that new and often more intuitively satisfying proofs for major theorems have been discovered. It is the purpose of this note to give a proof of the existence of a left invariant integral on a locally compact group using the methods of nonstandard analysis.

Mathematical Subject Classification
Primary: 28A70
Secondary: 02H25
Received: 28 March 1974
Published: 1 June 1975
Ronald Brian Kirk