Naslov
Integration of positive linear functionals on a sphere in $\mathbb{; ; R}; ; ^n$ with respect to Gaussian surface measures

Autori
Nakić, Ivica

Izvornik
Mathematical communications (0017-095X) 18 (2013), 2; 349-358

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
surface measures; Gaussian measure

Sažetak
In this paper we present a formula for the calculation of the integrals of the form $\int_S u^{; ; \ast}; ; Xu\, \nu^S(d\, u)$, where $S$ is the unit sphere in $\mathbb{; ; R}; ; ^n$, $X$ is a positive semi-definite Hermitian matrix, and $\nu^S(d\, u)$ is a surface measure generated by Gaussian measure $\nu$. The solution has the form $\mathrm{; ; trace}; ; (XZ)$, with the explicit procedure for the calculation of the matrix $Z$ which does not depend on $X$.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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