On the generalized Hilbert transforms in \(\mathbb{R}^ 2\) and the generalized harmonic analysis (Q1192434)
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scientific article; zbMATH DE number 60848
| Language | Label | Description | Also known as |
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| English | On the generalized Hilbert transforms in \(\mathbb{R}^ 2\) and the generalized harmonic analysis |
scientific article; zbMATH DE number 60848 |
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On the generalized Hilbert transforms in \(\mathbb{R}^ 2\) and the generalized harmonic analysis (English)
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27 September 1992
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The theory of the spectral analysis of the two-dimensional generalized Hilbert transforms is developed using Masani's instead of Wiener's generalized Fourier transform. The results are generalizations of Masani's results in the one-dimensional case (under restricted limit conditions). They were partly reported earlier [Mem. Keio Shiki High Sch. 18, 72-78 (1988)].
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generalized harmonic analysis
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spectral analysis
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two-dimensional generalized Hilbert transforms
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generalized Fourier transform
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