Contents: Introduction; Mixed Problems in Partial Differential Equations; Vector valued Distributions; Vector valued Distributions; Spaces of distributions; The E-product of two locally convex Hausdorff spaces; The Approximation Property; Operations on Vector valued Distributions; Multiplicative product of a vector; Fourier Transform of a vector valued distribution; The Laplace transform of vector valued distributions; Partial Differential Equations - Weak boundary; Weak boundary value problems; Topological tensor products; Topological tensor products; Multiplication of vector valued distributions; Operations on vector valued distributions; Weak boundary value problems; REPRESENTATIONS OF SEMI-GROUPS; Representations of semi-groups; Representations of semigroups; Representations of semi-groups; Representations of semi-groups; Remarks on the representation; Appendix. |