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An integral representation is given of functionals on the normed linear space of all sections, with compact support, of a Banach bundle p: E -* X. This representation is shown to be equivalent in a certain sense to the strong lifting property on X and to the disintegration of measures property on spaces q : Y -> X over X.doi:10.2307/2044799 fatcat:a4veubin7nbrpjwiz7dxbahksm