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An extension of Wiener's lemma to Banach algebra valued functions

✍ Scribed by F. P. Cass; R. Trautner

Book ID: 112495701
Publisher: Springer
Year: 1983
Tongue: English
Weight: 255 KB
Volume: 40
Category: Article
ISSN: 0003-889X
DOI: 10.1007/bf01192779

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## Abstract An extension of a lemma due to J. Lewis is established and is used to give rapid proofs of some classical theorems in complex function theory such as Montel's theorem and Miranda's theorem. Another application of Lewis's Lemma yields a general normality criterion for families of harmoni