On the \(L^2\) boundedness of pseudo-multipliers for Hermite expansions (Q6184593)
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scientific article; zbMATH DE number 7794594
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the \(L^2\) boundedness of pseudo-multipliers for Hermite expansions |
scientific article; zbMATH DE number 7794594 |
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On the \(L^2\) boundedness of pseudo-multipliers for Hermite expansions (English)
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25 January 2024
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In this paper, the author gives various conditions for Hermite pseudo-multipliers to be bounded on \(L^2(\mathbb{R}^n)\). As a by-product, the author also gives new results for pseudo-multipliers in the Gaussian measure setting. One of the author's key tools is a new integration by-parts formula for Hermite expansions.
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Hermite operator
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Calderón-Vaillancourt theorem
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pseudo-multiplier
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Gaussian pseudo-differential operator
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