A Beurling-Helson type theorem for modulation spaces

Details A Beurling-Helson type theorem for modulation spaces A Beurling-Helson type theorem for modulation spaces

2008-01-09

arxiv.org/abs/0801.1338v1

Mathematics

Classical Analysis and ODEs

Scientific paper

We prove a Beurling-Helson type theorem on modulation spaces. More precisely,
we show that the only $\mathcal{C}^{1}$ changes of variables that leave
invariant the modulation spaces $\M{p,q}(\rd)$ are affine functions on $\rd$. A
special case of our result involving the Sj\"ostrand algebra was considered
earlier by A. Boulkhemair.

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