2 papers
math.SP2011
On the formula of regularized traces
Alexander I. Nazarov, Dmitriy M. Stolyarov, Pavel B. Zatitskiy
We obtain a new simple formula for the regularized traces of singular ordinary differential operators.
math.PR2010
Small Ball Probabilities for Smooth Gaussian fields and Tensor Products of Compact Operators
Andrei I. Karol', Alexander I. Nazarov
We find the logarithmic -small ball asymptotics for a class of zero mean Gaussian fields with covariances having the structure of "tensor product". The main condition imposed…