A class of Fourier multipliers for modulation spaces (Q2484420)
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scientific article
| Language | Label | Description | Also known as |
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| English | A class of Fourier multipliers for modulation spaces |
scientific article |
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A class of Fourier multipliers for modulation spaces (English)
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1 August 2005
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Modulation spaces, as introduced by Feichtinger about 20 years ago, play an increasing role in Gabor analysis. It is proved that a class of Fourier multipliers, including the Hilbert transform, act boundedly on modulation spaces. In contrast, these multipliers are in general unbounded on \(L^p\).
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Fourier multiplier
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modulation space
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Gabor frame
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Hilbert transform
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