For a normal operator T in a complex separable Hilbert space H,we prove that the generalized eigenfunction expansion concerning it isf= limn→∞a→∞nj=1∫ {|z|a}∩M j(U jf)(z)φ j(z)dμ(z) f∈H,where φ j(z):M j→H -(L) is generalized eigenfunction with respect to z.

The completeness of generalized eigenfunction system of the transport Operator for a anisotropic.

The completeness of generalized eigenfunction system of the transport operatorfor a nonhomogeneous convex medium is discussed in this paper.

A part information model is established based on STEP and generalized feature according to concurrent engineering.

Integrated product information model is established based on generalized feature according to STEP.

A concurrent engineering oriented integrated product information model is established according to STEP and based on generalized features.

The duality property of several kinds of generalized functions;

This article using AHP to determine the weighting of index,using generalized function to nondimensionalize the value of index,then calcalute the systematic evaluation index.

First, by comparing with the definition of ordinary function, the definition of the general function and the equality of two generalized functions are introduced.

The theoretical proof is based on the theory of Schwartz generalized functions.

Utilizing perturbation method, stochastic equations are changed to be a series of deterministic equations, In the meantime stochastic boundary conditions become deterministic boundary conditions considering characters of generalized functions.

On the basis of the classical valuation method of generalized functions, the set value of a generalized function has been defined by the equivalent value mode and the uniform convergence method.