On the expansion theorem described by \(H(A,B)\) spaces
type: Item
instance of: scholarly article
title: On the expansion theorem described by \(H(A,B)\) spaces
zbMATH Open document ID: 1122.42012
DOI: 10.1155/S0161171204007392
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2005-05-18T00:00:00Z
full work available at URL: https://eudml.org/doc/53505
review text: 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.
Mathematics Subject Classification ID: 42B35
Mathematics Subject Classification ID: 46E22
zbMATH DE Number: 2168719
author: A. A. El Sabbagh
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2168719