Author | Treves, Franรงois. author |
---|---|
Title | Locally Convex Spaces and Linear Partial Differential Equations [electronic resource] / by Franรงois Treves |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1967 |
Connect to | http://dx.doi.org/10.1007/978-3-642-87371-3 |
Descript | XII, 123 p. online resource |
I. The Spectrum of a Locally Convex Space -- I. The Spectrum of a Locally Convex Space -- II. The Natural Fibration over the Spectrum -- III. Epimorphisms of Frรฉchet Spaces -- IV. Existence and Approximation of Solutions to a Functional Equation -- V. Translation into Duality -- II. Applications to Linear Partial Differential Equations -- VI. Applications of the Epimorphism Theorem -- VII. Applications of the Epimorphism Theorem to Partial Differential Equations with Constant Coefficients -- VIII. Existence and Approximation of Solutions to a Linear Partial Differential Equation -- IX. Existence and Approximation of Solutions to a Linear Partial Differential Equation -- Appendix A: Two Lemmas about Frรฉchet Spaces -- Appendix B: Normal Hilbert Spaces of Distributions -- Appendix C: On the Nonexistence of Continuous Right Inverses -- Main Definitions and Results Concerning the Spectrum of a Locally Convex Space -- Some Definitions in PDE Theory -- Bibliographical References