Integral representations for generalized difference kernels having a finite number of negative squares
نویسندگان
چکیده
An integral representation is derived for matrix-valued generalized difference kernels which have a finite number of negative squares. The representation is used to extend such kernels to the real line with a bound on the number of negative squares. The main results are obtained by means of an operator interpolation theorem. The nondegenerate case is assumed. Mathematics Subject Classification (2000). Primary 47A57; Secondary 47A56, 30E05.
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