The random record distributed v associated with a probability distribution mu can be written as a convolution series, nu = Sigma (infinity)(n=1)(n + 1)(-1)mu (*n). Various authors have obtained results on the behaviour of the tails nu((x, infinity)) as x --> infinity, using Laplace transforms and the associated Abelian and Tauberian theorems. Here me use Gelfand transforms and the Wiener-Levy-Glefand. Theorem to obtain expansions of the tails under moment conditions on mu. The results differ notably from those known for other convolution series.
The random record distributed v associated with a probability distribution mu can be written as a convolution series, nu = Sigma (infinity)(n=1)(n + 1)(-1)mu (*n). Various authors have obtained results on the behaviour of the tails nu((x, infinity)) as x --> infinity, using Laplace transforms and the associated Abelian and Tauberian theorems. Here me use Gelfand transforms and the Wiener-Levy-Glefand. Theorem to obtain expansions of the tails under moment conditions on mu. The results differ notably from those known for other convolution series.
RNA-SELECTIVE PROBES FOR LIVE CELL IMAGING OF NUCLEAR STRUCTURE AND FUNCTION
申请人:CHANG Young-Tae
公开号:US20080064037A1
公开(公告)日:2008-03-13
The present invention is directed to fluorescent compounds and methods of making said compounds that selectively bind to cellular RNA. The fluorescent compounds of the present invention are useful for live cell imaging applications.