On the expansion theorem described by \(H(A,B)\) spaces (Q1774787)
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scientific article; zbMATH DE number 2168719
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the expansion theorem described by \(H(A,B)\) spaces |
scientific article; zbMATH DE number 2168719 |
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On the expansion theorem described by \(H(A,B)\) spaces (English)
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18 May 2005
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Summary: The aim of this paper is to construct a generalized Fourier analysis for certain Hermitian operators. When \(A\), \(B\) are entire functions, then \(H(A,B)\) will be the associated reproducing kernel Hilbert spaces of \(\mathbb{C}_{n\times n}\)-valued functions. In that case, we will construct the expansion theorem for \(H(A,B)\) in a comprehensive manner. The spectral functions for the reproducing kernel Hilbert spaces will also be constructed.
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0.8825195
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0.87423784
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