Nedelec′s functional spaces of H1(curl) tetrahedral vector elements are analyzed systematically by using the method combined Nedelec constraints and complete polynomials.

The compactness of a new function space;

A note on the algebraicity of domain function spaces

By the new method, which utilizes function approaches theory, projection operator theory and multi-resolution analysis, the telegraphic equation can be projected into a function space, which is spanned by the orthogonal basis function relates to variable t in an given binary resolution, and then an vector equation with only one variable of distance x is presented.

A generalization of the invariantly cometrizable property is given for the set-open topology for function spaces.

In this paper, the theoretical properties of some function spaces in the unit disk are studied.

The dynamics, stability and control problem of a kind of infinite dimensional system are studied in the functional space with the method of modern mathematics.

The result is proven in the paper that lat B is a (C-Ⅱ) and equal-module full function space, then P_BB_S has the Radon-Riesz property if and only if all B_S (s∈S) have the Radon-Riesz property, and it generalizes the corresponding result~([4]).