Asymptotics of H-continuous and H-differentiable measures in Hilbert space (Q1066295)

Let H be a Hilbert space with norm \(| \cdot |\), m be a real- valued measure of Borel subsets of H. The paper contains a criterion of the continuity of product-measures (by the definition m is continuous in direction \(h\in H\) if \(var(m_{th}-m)\to 0\quad as\quad t\downarrow 0\); here \(m_ h(A)=m(A+h))\). Asymptotic properties of \(m(| x| <r)\) (as \(r\to 0)\) are also treated.