توجه: محتویات این صفحه به صورت خودکار پردازش شده و مقاله‌های نویسندگانی با تشابه اسمی، همگی در بخش یکسان نمایش داده می‌شوند.
۱An extension theorem for finite positive measures on surfaces of finite‎ ‎dimensional unit balls in Hilbert spaces
نویسنده(ها): ،
اطلاعات انتشار: Bulletin of Iranian Mathematical Society، چهلم،شماره۱(پياپي ۸۷)، ۲۰۱۴، سال
تعداد صفحات: ۱۰
A consistency criteria is given for a certain class of finite positive measures on the surfaces of the finite dimensional unit balls in a real separable Hilbert space. It is proved, through a Kolmogorov type existence theorem, that the class induces a unique positive measure on the surface of the unit ball in the Hilbert space. As an application, this will naturally accomplish the work of Kanter (1973) on the existence and uniqueness of the spectral measures of finite dimensional stable random vectors to the infinite dimensional ones. The approach presented here is direct and different from the functional analysis approach in Kuelbs (1973), Linde (1983) and the indirect approach of Tortrat (1976) and Dettweiler (1976).

۲Periodically correlated and multivariate symmetric stable‎ ‎processes related to periodic and cyclic flows
اطلاعات انتشار: Bulletin of Iranian Mathematical Society، چهلم،شماره۲(پياپي ۸۸)، ۲۰۱۴، سال
تعداد صفحات: ۱۷
In this work we introduce and study discrete time periodically correlated stable processes and multivariate stationary stable processes related to periodic and cyclic flows . Our study involves producing a spectral representation and a spectral identification for such processes . We show that the third component of a periodically correlated stable process has a component related to a periodic–cyclic flow .
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