Catálogo de publicaciones - libros

In Section 6.1 we sum up with brief indications of the proofs some facts on the open sets in where a differential equation () = with constant coefficients can always be solved. Depending on whether is allowed to be an arbitrary distribution or a function (or a distribution of finite order), we get two classes of admissible open sets depending on . Those which are admissible for every are precisely the genuinely convex sets. However, more general domains are admissible for individual operators . In Section 6.2 we prove by methods close to those used in Section 4.2 that in a pseudo-convex open set in C all equations of the form can be solved. In fact, we prove more general results for operators in a product space × which have this structure with respect to the complex variables. In Section 6.3 we pass to the existence of analytic solutions of equations of the form (,..., ) = in a pseudo-convex open set ⊂ where is analytic. We show that it is precisely in the C convex sets that a solution exists for arbitrary and .

In Section 6.1 we sum up with brief indications of the proofs some facts on the open sets in where a differential equation () = with constant coefficients can always be solved. Depending on whether is allowed to be an arbitrary distribution or a function (or a distribution of finite order), we get two classes of admissible open sets depending on . Those which are admissible for every are precisely the genuinely convex sets. However, more general domains are admissible for individual operators . In Section 6.2 we prove by methods close to those used in Section 4.2 that in a pseudo-convex open set in C all equations of the form can be solved. In fact, we prove more general results for operators in a product space × which have this structure with respect to the complex variables. In Section 6.3 we pass to the existence of analytic solutions of equations of the form (,..., ) = in a pseudo-convex open set ⊂ where is analytic. We show that it is precisely in the C convex sets that a solution exists for arbitrary and .

In Section 6.1 we sum up with brief indications of the proofs some facts on the open sets in where a differential equation () = with constant coefficients can always be solved. Depending on whether is allowed to be an arbitrary distribution or a function (or a distribution of finite order), we get two classes of admissible open sets depending on . Those which are admissible for every are precisely the genuinely convex sets. However, more general domains are admissible for individual operators . In Section 6.2 we prove by methods close to those used in Section 4.2 that in a pseudo-convex open set in C all equations of the form can be solved. In fact, we prove more general results for operators in a product space × which have this structure with respect to the complex variables. In Section 6.3 we pass to the existence of analytic solutions of equations of the form (,..., ) = in a pseudo-convex open set ⊂ where is analytic. We show that it is precisely in the C convex sets that a solution exists for arbitrary and .

In Section 6.1 we sum up with brief indications of the proofs some facts on the open sets in where a differential equation () = with constant coefficients can always be solved. Depending on whether is allowed to be an arbitrary distribution or a function (or a distribution of finite order), we get two classes of admissible open sets depending on . Those which are admissible for every are precisely the genuinely convex sets. However, more general domains are admissible for individual operators . In Section 6.2 we prove by methods close to those used in Section 4.2 that in a pseudo-convex open set in C all equations of the form can be solved. In fact, we prove more general results for operators in a product space × which have this structure with respect to the complex variables. In Section 6.3 we pass to the existence of analytic solutions of equations of the form (,..., ) = in a pseudo-convex open set ⊂ where is analytic. We show that it is precisely in the C convex sets that a solution exists for arbitrary and .

In Section 6.1 we sum up with brief indications of the proofs some facts on the open sets in where a differential equation () = with constant coefficients can always be solved. Depending on whether is allowed to be an arbitrary distribution or a function (or a distribution of finite order), we get two classes of admissible open sets depending on . Those which are admissible for every are precisely the genuinely convex sets. However, more general domains are admissible for individual operators . In Section 6.2 we prove by methods close to those used in Section 4.2 that in a pseudo-convex open set in C all equations of the form can be solved. In fact, we prove more general results for operators in a product space × which have this structure with respect to the complex variables. In Section 6.3 we pass to the existence of analytic solutions of equations of the form (,..., ) = in a pseudo-convex open set ⊂ where is analytic. We show that it is precisely in the C convex sets that a solution exists for arbitrary and .

In Section 6.1 we sum up with brief indications of the proofs some facts on the open sets in where a differential equation () = with constant coefficients can always be solved. Depending on whether is allowed to be an arbitrary distribution or a function (or a distribution of finite order), we get two classes of admissible open sets depending on . Those which are admissible for every are precisely the genuinely convex sets. However, more general domains are admissible for individual operators . In Section 6.2 we prove by methods close to those used in Section 4.2 that in a pseudo-convex open set in C all equations of the form can be solved. In fact, we prove more general results for operators in a product space × which have this structure with respect to the complex variables. In Section 6.3 we pass to the existence of analytic solutions of equations of the form (,..., ) = in a pseudo-convex open set ⊂ where is analytic. We show that it is precisely in the C convex sets that a solution exists for arbitrary and .

In Section 6.1 we sum up with brief indications of the proofs some facts on the open sets in where a differential equation () = with constant coefficients can always be solved. Depending on whether is allowed to be an arbitrary distribution or a function (or a distribution of finite order), we get two classes of admissible open sets depending on . Those which are admissible for every are precisely the genuinely convex sets. However, more general domains are admissible for individual operators . In Section 6.2 we prove by methods close to those used in Section 4.2 that in a pseudo-convex open set in C all equations of the form can be solved. In fact, we prove more general results for operators in a product space × which have this structure with respect to the complex variables. In Section 6.3 we pass to the existence of analytic solutions of equations of the form (,..., ) = in a pseudo-convex open set ⊂ where is analytic. We show that it is precisely in the C convex sets that a solution exists for arbitrary and .