6533b7d6fe1ef96bd1266e91
RESEARCH PRODUCT
ISOMETRY GROUPS OF WEIGHTED SPACES OF HOLOMORPHIC FUNCTIONS: TRANSITIVITY AND UNIQUENESS
Christopher BoydPilar Ruedasubject
Discrete mathematicsPure mathematicsGroup (mathematics)General MathematicsHolomorphic functionIsometryMathematics::Metric GeometryUniquenessIsometry groupAutomorphismIdentity theoremDomain (mathematical analysis)Mathematicsdescription
We survey some recent results on the isometries of weighted spaces of holomorphic functions defined on an open subset of ℂn. We will see that these isometries are determined by a subgroup of the automorphisms on a distinguished subset of the domain. We will look for weights with 'large' groups of isometries and observe that in certain circumstances the group of isometries determines the weight.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-09-01 | Asian-European Journal of Mathematics |