On the expansion theorem described by \(H(A,B)\) spaces
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.
scientific article; zbMATH DE number 2168719