Abstract
On a locally compact space, it is as natural to deal with continuous functions having compact support as it is natural to deal with step functions. Thus we must establish the relations which exist between functionals on the former or the latter. As we shall see, they essentially amount to the same thing.
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© 1993 Springer-Verlag Berlin Heidelberg
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Lang, S. (1993). Integration and Measures on Locally Compact Spaces. In: Real and Functional Analysis. Graduate Texts in Mathematics, vol 142. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0897-6_9
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DOI: https://doi.org/10.1007/978-1-4612-0897-6_9
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6938-0
Online ISBN: 978-1-4612-0897-6
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