Approximation of Plurisubharmonic Functions

Autor:	Philippe Noverraz
Rok vydání:	1979
Předmět:	Discrete mathematics Mathematics::Functional Analysis Lebesgue measure Approximation property Locally convex topological vector space Banach space Interpolation space Lp space Vector space Mathematics Schauder basis
DOI:	10.1016/s0304-0208(08)72477-0
Popis:	Publisher Summary This chapter describes approximation of plurisubharmonic functions. The chapter illustrates that if U is an open and connected subset of an infinite dimensional locally convex vector space E on C, an application f : U ￫ C is said to be holomohphic. The properties addressed in the chapter are generalized to larger classes of locally convex spaces with Schauder basis including Banach spaces. It is well known that in a Banach space E there are no substitute to the Lebesgue measure that means there does not exist a measure invariant by translations or rotations.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::0f94836b9a93734d652dd7587270c8a7 https://doi.org/10.1016/s0304-0208(08)72477-0 Zobrazit plný text záznamu