Abstract:
According to the Ray–Knight description the Bessel local time at the moment inverse to local time is a diffusion process with respect to space parameter. This diffusion has a local time. Thus, we come to the definition of the local time of the original Bessel local time. We will call such a process the Bessel local time of the second order at the moment, inverse to local time. The paper studies the Laplace transform of the distribution of the second order Bessel local time.
Key words and phrases:Bessel local time, moment inverse to local time, second order local time, local time distribution.