Smoothing Methods of Cousin Type and their Applications to Global Factorizations of Generalized Analytic Functions in Several Complex Variables
Copyright policy )Smoothing Methods of Cousin Type and their Applications to Global Factorizations of Generalized Analytic Functions in Several Complex Variables
The author considers the additive Cousin problem in the restricted sense for a general linear differential equation \(L[u]=0\), i.e. the problem to construct global solutions \(u\) with given singularities. It is shown that a global solution of the inhomogeneous differential equation \(L[\lambda]=h\) can be obtained from local solutions by a smoothing method. Then global factorizations for generalized holomorphic functions in several variables are produced.
Holomorphic functions of several complex variables, Analyticity in context of PDEs, additive Cousin problem, global factorizations, global solutions with given singularities, smoothing method, generalized holomorphic functions in several variables
Holomorphic functions of several complex variables, Analyticity in context of PDEs, additive Cousin problem, global factorizations, global solutions with given singularities, smoothing method, generalized holomorphic functions in several variables
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