Abstract
In this chapter we shall see how the notion of “spectrum” has evolved in the context of Tauberian theorems (Paragraphs 2.1 through 2.3), and then study the intimate relation between Tauberian theorems and spectral synthesis (Paragraphs 2.4 and 2.5). As such, our setting will be G = R and Γ = Я for part of the chapter, although much of what we say can be developed in a more abstract framework; for example, the notion of the “Wiener spectrum” is studied generally in [Benedetto, 11; Herz, 5, p. 195].
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© 1975 Springer Fachmedien Wiesbaden
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Benedetto, J.J. (1975). Tauberian theorems. In: Spectral Synthesis. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-96661-2_2
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DOI: https://doi.org/10.1007/978-3-322-96661-2_2
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-519-02214-5
Online ISBN: 978-3-322-96661-2
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