Multiplicative Cauchy functional equation in the cone of positive-definite symmetric matrices
Konstancja Bobecka ; Jacek Wesołowski
Annales Polonici Mathematici, Tome 81 (2003), p. 1-7 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

We solve the multiplicative Cauchy equation for real functions of symmetric positive definite matrices under the differentiability restriction. The specialty of the problem lies in the symmetry of the multiplication.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:280798 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap82-1-1,
     author = {Konstancja Bobecka and Jacek Weso\l owski},
     title = {Multiplicative Cauchy functional equation in the cone of positive-definite symmetric matrices},
     journal = {Annales Polonici Mathematici},
     volume = {81},
     year = {2003},
     pages = {1-7},
     zbl = {1099.39015},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap82-1-1}
}

Konstancja Bobecka; Jacek Wesołowski. Multiplicative Cauchy functional equation in the cone of positive-definite symmetric matrices. Annales Polonici Mathematici, Tome 81 (2003) pp. 1-7. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap82-1-1/