Abstract
Some preliminary results about entire functions and distributions are presented. Topics include: entire functions with growth restrictions, a biorthogonality property for entire functions, Cauchy-type estimates of holomorphic functions, the Titchmarsh theorem on supports of convolutions, the Paley–Wiener–Schwartz theorem, and the Ehrenpreis–Hörmander characterization of invertible distributions. These results will be used many times in the later chapters.
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© 2009 Springer-Verlag London Limited
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Volchkov, V.V., Volchkov, V.V. (2009). Preliminaries. In: Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group. Springer Monographs in Mathematics. Springer, London. https://doi.org/10.1007/978-1-84882-533-8_6
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DOI: https://doi.org/10.1007/978-1-84882-533-8_6
Publisher Name: Springer, London
Print ISBN: 978-1-84882-532-1
Online ISBN: 978-1-84882-533-8
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