Integral Operators Basic in Random Fields Estimation Theory

Details Integral Operators Basic in Random Fields Estimation Theory Integral Operators Basic in Random Fields Estimation Theory

2004-05-03

arxiv.org/abs/math-ph/0405002v1

Physics

Mathematical Physics

Scientific paper

The paper deals with the basic integral equation of random field estimation theory by the criterion of minimum of variance of the error estimate. This integral equation is of the first kind. The corresponding integra$ operator over a bounded domain $\Omega $ in ${\Bbb R}^{n}$ is weakly singular. This operator is an isomorphism between appropriate Sobolev spaces. This is proved by a reduction of the integral equ$ an elliptic boundary value problem in the domain exterior to $\Omega .$ Extra difficulties arise due to the fact that the exterior boundary value problem should be solved in the Sobolev spaces of negative order.

Affiliated with

Also associated with

No associations

Rating

Integral Operators Basic in Random Fields Estimation Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Integral Operators Basic in Random Fields Estimation Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Integral Operators Basic in Random Fields Estimation Theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-235176