Group‐symmetric holomorphic functions on a Banach space

By R. Aron, P. Galindo, Damián Pinasco, I. Zalduendo. 2016

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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.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/f9ab888c2b20362e7ec8d7af46c21d6a1eccf1d0