The Hilbert transform and Hermite functions: A real variable proof of the -isometry |
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Authors: | Javier Duoandikoetxea |
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Affiliation: | aDepartamento de Matemáticas, Universidad del País Vasco–Euskal Herriko Unibertsitatea, Apartado 644, 48080 Bilbao, Spain |
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Abstract: | A proof of the fact that the Hilbert transform can be extended as an isometry to L2 is obtained by real variable methods using the Hermite functions. |
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Keywords: | Hilbert transform Hermite functions |
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