(1) Dipartimento di Matematica, Universitá di Ferrara, Via Machiavelli 35, 44100 Ferrara, Italy;(2) Istituto di Analisi Globale e Applicazioni del CNR, Via S. Marta 13/a, 50139 Firenze, Italy
Abstract:
Properties of pointwise second differentiability of real-valued convex functions in n are studied. Some proofs of the Busemann-Feller-Aleksandrov theorem are reviewed and a new proof of this theorem is presented.