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Titlebook: Essays in Commutative Harmonic Analysis; Colin C. Graham,O. Carruth McGehee Book 1979 Springer-Verlag New York Inc. 1979 Algebra.Derivatio

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The Behavior of Transforms, 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
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Riesz Products,at we shall call “Riesz products” is defined in Section 7.1. The existence and elementary properties of such measures are established also in 7.1. In Section 7.2 we discuss the orthogonality of pairs of Riesz products and show that it is often the case that two Riesz products are either equivalent o
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,The Šilov Boundary, Symmetric Ideals, and Gleason Parts of Δ,(,),maximal ideal space Δ.(.) of .(.). We shall sometimes write Δ, Δ., ∂, ∂., Σ, and Σ., for Δ.(.), Δ.(.), ∂.(.), ∂.(.), Σ.(.), and Σ.(.). We remind the reader that Δ. ⊇ Δ and ∂. ⊇ ∂, because .(.) is an ideal in .(.).
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0072-7830 oseph Taylor, and Nicholas Varopoulos. They are among the many who have made the field a productive meeting ground of probabilistic methods, number theory, diop978-1-4612-9978-3978-1-4612-9976-9Series ISSN 0072-7830 Series E-ISSN 2196-9701
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Book 1979nterest. We were influenced early in our careers by the mathematicians Jean-Pierre Kahane, Yitzhak Katznelson, Paul Malliavin, Yves Meyer, Joseph Taylor, and Nicholas Varopoulos. They are among the many who have made the field a productive meeting ground of probabilistic methods, number theory, diop
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