GERMAN AMAYA - Academia.edu (original) (raw)

Papers by GERMAN AMAYA

Reminder.- The field C is an cl qel.rc aver the field R. The elements 1,i farm a basi s of Cover ... more Reminder.- The field C is an cl qel.rc aver the field R. The elements 1,i farm a basi s of Cover R. An analytic function f, may be regarded as a map: (x,y)~u(x,y) + iv(x,y) = f(x,y), from ~2. intothealge!:.ra C, such that, Thi s formula remains meaningful when is a di stri bution • We are going to denote by K a field equal to R orto C;!:.y A a commutative algebra over K (K- algebra) with unit element, so that K may be identified with a subalgebra of A; by 0, the space of the k v vcl ued C"'funtion,s with compact support defined i R",equipped with the usual topology (Ref. 1, pag 67); and by 0 ' the topological dual space of 0, call ed the space of di stri bution s • Let us fix a base (ax)>.EL of A. Let us denote pr ~ the map r;. z x a:x---? z tA from A onto K. Let L ~ be the space of all K-linear maps T of 0 into A, such thar pr:>,oTEO for every),€L. (*) Thesis work submitted to the Faculty of the Groduate School of the

Reminder.- The field C is an cl qel.rc aver the field R. The elements 1,i farm a basi s of Cover ... more Reminder.- The field C is an cl qel.rc aver the field R. The elements 1,i farm a basi s of Cover R. An analytic function f, may be regarded as a map: (x,y)~u(x,y) + iv(x,y) = f(x,y), from ~2. intothealge!:.ra C, such that, Thi s formula remains meaningful when is a di stri bution • We are going to denote by K a field equal to R orto C;!:.y A a commutative algebra over K (K- algebra) with unit element, so that K may be identified with a subalgebra of A; by 0, the space of the k v vcl ued C"'funtion,s with compact support defined i R",equipped with the usual topology (Ref. 1, pag 67); and by 0 ' the topological dual space of 0, call ed the space of di stri bution s • Let us fix a base (ax)>.EL of A. Let us denote pr ~ the map r;. z x a:x---? z tA from A onto K. Let L ~ be the space of all K-linear maps T of 0 into A, such thar pr:>,oTEO for every),€L. (*) Thesis work submitted to the Faculty of the Groduate School of the