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A Brief Introduction to Convolution Measure Algebras

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Book cover Essays in Commutative Harmonic Analysis

Part of the book series: Grundlehren der mathematischen Wissenschaften ((GL,volume 238))

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Abstract

We have two objectives in this chapter: to introduce the general theory of convolution measure algebras and to give examples and applications pertinent to measure algebras on groups. We shall thus make clear the setting in which the action of Chapters 6 through 8 takes place. We shall state without proof some results (the most important ones are Theorems 5.1.1 and 5.3.6). It is not necessary to read their proofs in order to appreciate that action. We begin with some useful terminology.

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© 1979 Springer-Verlag New York Inc.

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Graham, C.C., McGehee, O.C. (1979). A Brief Introduction to Convolution Measure Algebras. In: Essays in Commutative Harmonic Analysis. Grundlehren der mathematischen Wissenschaften, vol 238. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-9976-9_5

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  • DOI: https://doi.org/10.1007/978-1-4612-9976-9_5

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-9978-3

  • Online ISBN: 978-1-4612-9976-9

  • eBook Packages: Springer Book Archive

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