Local properties of gaussian random fields on compact symmetric spaces and theorems of the Jackson-Bernstein type

• Дата: 1999
• Автори: Malyarenko, A. A., Маляренко, А. А.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1999
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/4583
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider local properties of sample functions of Gaussian isotropic random fields on the compact Riemann symmetric spaces $\mathcal{M}$ of rank one. We give conditions under which the sample functions of a field almost surely possess logarithmic and power modulus of continuity. As a corollary,...