Displaying similar documents to “Reduction to normal form of a self-adjoint linear transformation with respect to a pseudo-unitary or a pseudo-Euclidean inner product.”

Representations of Jordan algebras and special functions

Giancarlo Travaglini (1991)

Colloquium Mathematicae

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This paper is concerned with the action of a special formally real Jordan algebra U on an Euclidean space E, with the decomposition of E under this action and with an application of this decomposition to the study of Bessel functions on the self-adjoint homogeneous cone associated to U.

Anisotropic complex structure on the pseudo-Euclidean Hurwitz pairs

W. Królikowski (1991)

Annales Polonici Mathematici

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The concept of supercomplex structure is introduced in the pseudo-Euclidean Hurwitz pairs and its basic algebraic and geometric properties are described, e.g. a necessary and sufficient condition for the existence of such a structure is found.