On the expansion theorem described by H ( A, B ) spaces

A. A. El-Sabbagh

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-12

Abstract:

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 ℂ n × 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.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:609215

DOI: 10.1155/S0161171204007392

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