Abstract
A recurring theme of our subject is the effort to say which functions on Γ belong to the Fourier-Stie1tjes transform space B(Γ), and which do not—what the transforms can do, and what they cannot do. The question is a deep one. The known characterizations are neither subtle nor powerful. Indeed, it appears that the property of being a transform is not truly reducible. This Chapter treats three aspects of transform behavior. Our three topics, which may be read independently, are as follows.
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© 1979 Springer-Verlag New York Inc.
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Graham, C.C., McGehee, O.C. (1979). The Behavior of Transforms. 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_1
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DOI: https://doi.org/10.1007/978-1-4612-9976-9_1
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-9978-3
Online ISBN: 978-1-4612-9976-9
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