Locally Convex Spaces and Linear Partial Differential Equations
François Treves
Broschiertes Buch

Locally Convex Spaces and Linear Partial Differential Equations

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It is hardly an exaggeration to say that, if the study of general topolog ical vector spaces is justified at all, it is because of the needs of distribu tion and Linear PDE _ theories (to which one may add the theory of convolution in spaces of hoi om orphic functions). The theorems based on TVS __ theory are generally of the "foundation" type: they will often be statements of equivalence between, say, the existence - or the approx imability -of solutions to an equation Pu = v, and certain more "formal" properties of the differential operator P, for example that P be elliptic or hyperboJic, to...