6533b85efe1ef96bd12bf2fb

RESEARCH PRODUCT

Group-symmetric holomorphic functions on a Banach space

Richard M. AronDamián PinascoPablo GalindoIgnacio Zalduendo

subject

Pure mathematicsMatemáticasGeneral MathematicsSymmetric holomorphic functions010102 general mathematicsInfinite-dimensional vector functionHolomorphic functional calculusMathematical analysis//purl.org/becyt/ford/1.1 [https]Banach manifoldInfinite-dimensional holomorphyIdentity theorem01 natural sciencesMatemática Pura//purl.org/becyt/ford/1 [https]010101 applied mathematicsBergman spaceInterpolation spaceAnalyticity of holomorphic functions0101 mathematicsCIENCIAS NATURALES Y EXACTASMathematics

description

We study the holomorphic functions on a complex Banach space E that are invariant under the action of a given group of operators on E. A great variety of situations occur depending, of course, on the group and the space. Nevertheless, in the examples we deal with, they can be described in terms of a few natural ones and functions of a finite number of variables. Fil: Aron, Richard. Universidad de Valencia; España Fil: Galindo, Pablo. Universidad de Valencia; España Fil: Pinasco, Damian. Universidad Torcuato Di Tella; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina Fil: Zalduendo, Ignacio Martin. Universidad Torcuato Di Tella; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina

10.1112/blms/bdw043https://londmathsoc.onlinelibrary.wiley.com/doi/full/10.1112/blms/bdw043