Norms of embeddings between quadratically weighted spaces of holomorphic functions
Analysis of PDEs
2022-09-28 v1 Complex Variables
Functional Analysis
Abstract
We consider spaces of holomorphic functions which are square-integrable against a Gaussian weight, which appear in the theory of metaplectic FBI--Bargmann transforms. We identify the operator norm of embeddings between two such spaces, by relating these embeddings to Fourier integral operators with complex phase.
Keywords
Cite
@article{arxiv.2209.13440,
title = {Norms of embeddings between quadratically weighted spaces of holomorphic functions},
author = {Joe Viola},
journal= {arXiv preprint arXiv:2209.13440},
year = {2022}
}
Comments
18 pages