Results 131 to 140 of about 10,386,040 (275)

Weighted Vector-Valued Holomorphic Functions on Banach Spaces

open access: yesAbstract and Applied Analysis, 2013
We study the weighted Banach spaces of vector-valued holomorphic functions defined on an open and connected subset of a Banach space. We use linearization results on these spaces to get conditions which ensure that a function f defined in a subset A of ...
Enrique Jordá
doaj   +1 more source

Metrizability of spaces of holomorphic functions

open access: yesJournal of Mathematical Analysis and Applications, 2009
In this paper we prove that if U is an open subset of a metrizable locally convex space E of infinite dimension, the space H(U) of all holomorphic functions on U, endowed with the Nachbin–Coeuré topology τδ, is not metrizable. Our result can be applied to get that, for all usual topologies, H(U) is metrizable if and only if E has finite dimension.
openaire   +3 more sources

ON THE RESOLVENT OF SOME CLASS OF GENERALIZED DIFFERENTIAL OPERATOR

open access: yesAdvanced Engineering Research, 2006
In the article is given representation of the resolvent  for generalized differential operator  with generating function in the space of holomorphic functions.
A.V. BRATISHCHEV, A.V. MORZHAKOV
doaj  

Eigenfunctions of the Weighted Composition Operators

open access: yesJournal of Mathematical Extension, 2011
In the present paper, we characterize the eigenfunctions of a weighted composition operator on space of holomorphic function on the unit ...
H. Rezaei
doaj  

Holomorphic functions with dense sets of Plessner points [PDF]

open access: bronze, 1969
Peter Lappan, George Piranian
openalex   +1 more source

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