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arXiv · 2209.13440

Norms of embeddings between quadratically weighted spaces of holomorphic functions

Joe Viola
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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.

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Joe Viola. 2022-09-27. Norms of embeddings between quadratically weighted spaces of holomorphic functions. https://arxiv.org/abs/2209.13440

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