Blur is an well-known model for image and singal degradation. Deblurri
ng, an inverse of blur is an ill-posed problem and its approximation s
olution based on regularization exists in a restricted domain of Polyn
omials or functions. We have observed that (1) Blurring operator is cl
osed in our domain of definition, and (2) area of deblurred output is
approximately 2e square-root pi for the deblurring kernerls in terms o
f Weber parabolic cylinder functions and the gaussian N(0, square-root
2) blur.