2017
Том 69
№ 9

All Issues

On the integral representation of hermitian definite matrices with negative squares

Plyushсheva V. I.

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Abstract

In this article the integral representation of hermitian matrices $F_{j, k}$ $(j, k = 0, ± 1, ...)$ for which all the sums $\sum^n_{j, k = -n} F_{j, k} \xi_j, \xi_k$ have exactly $\mathfrak{x}$ negative squares for large n is given in terms of eigenfunctions of difference equations.

Citation Example: Plyushсheva V. I. On the integral representation of hermitian definite matrices with negative squares // Ukr. Mat. Zh. - 1962. - 14, № 1. - pp. 30-39.

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