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α-Minimal Banach spaces

✍ Scribed by Christian Rosendal

Book ID: 113710258
Publisher: Elsevier Science
Year: 2012
Tongue: English
Weight: 216 KB
Volume: 262
Category: Article
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2012.02.001

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This note describes a new Banach space B 0 of square integrable functions on R d having many interesting invariance properties. In fact, the Fourier transform, time-frequency shifts, and L 2 -normalized dilations act isometrically on it. For its definition, we make use of a general construction prin