We investigate the connections between the "global" structure of a Banach space (i.e. the existence of certain finite and infinite dimensional decompositions) and the geometrical properties of the ...

The exterior boundary value problems of Laplace equation and linear elastic equations are considered. A series of approximate infinite boundary conditions are given. Then the original problem is ...

These techniques entail the explicit evaluation of finite and infinite series whose terms are trigonometric functions, thereby linking classical analysis with combinatorial and number theoretic ...