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Complex analysis, holomorphic functions, automorphic group actions and forms, pseudoconvexity, complex geometry, analytic spaces, analytic sheaves.

1 vote
0 answers
9 views

Can one explicitly define a right inverse for a convolution operator on the space of entire ...

A result of Meise and Taylor in 1988 shows that every non-zero convolution operator on the Frechet space $H(\mathbb{C})$ of all entire functions on $\mathbb{C}$ has a continuous linear right inverse $ …
David Walmsley's user avatar
4 votes
0 answers
72 views

Is there a dense set of Lipschitz functions in $H^\infty(U)$, each of which maps $(1,0,\ldot...

Let $U$ be the open unit ball in $\mathbb{C}^N$, let $A(U)$ be the algebra of functions analytic on $U$ and continuous on $\bar U$, and let $u=(1,0,\ldots,0)$. Let $\mathcal{B}=\{f\in H^\infty (U): \| …
David Walmsley's user avatar