Vektorwertige Sobolev-Slobodeckijsche Distributionen.
Reproduzierende Kerne und nukleare Räume. II
Nukleare Räume aus M.K.-Funktionen.
Verallgemeinerte Funktionen.
m-Reduction of ordinary differential equations
Reduction of differential equations
Let (F,D) be a differential field with the subfield of constants C (c ∈ C iff Dc=0). We consider linear differential equations (1) , where , and the solution y is in F or in some extension E of F (E ⊇ F). There always exists a (minimal, unique) extension E of F, where Ly=0 has a full system of linearly independent (over C) solutions; it is called the Picard-Vessiot extension of F E = PV(F,Ly=0). The Galois group G(E|F) of an extension field E ⊇ F consists of all differential automorphisms of...
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