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Fourier Expansions with Respect to the Rayleigh System

✍ Scribed by Milutin R. Dostanić

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
180 KB
Volume
104
Category
Article
ISSN
0021-9045

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## Abstract A linear and bounded operator __T__ between Banach spaces __X__ and __Y__ has Fourier type 2 with respect to a locally compact abelian group __G__ if there exists a constant __c__ > 0 such that∥__T__$\hat f$∥~2~ ≤ __c__∥__f__∥~2~ holds for all __X__‐valued functions __f__ ∈ __L__^__X__^