I. Patyi

activity

19992010

most citedAnalytic cohomology in a Banach space

4 citations · 9 across the 8 of their papers we have counts for

collaborators

9 papers

math.CV2010

Plurisubharmonic domination in Banach spaces

Imre Patyi

We show that if $X$ is a Banach space with a Schauder basis, $Ω \subset X$ is a pseudoconvex open subset, and $u : Ω \to (- \infty, \infty)$ is a locally bounded function, then there ar…

math.CV2010

On complex Banach manifolds similar to Stein manifolds

Imre Patyi

We give an abstract definition, similar to the axioms of a Stein manifold, of a class of complex Banach manifolds in such a way that a manifold belongs to the class if and only if…

math.CV2009

On the annihilator of a Dolbeault group

Imre Patyi

We show that any Dolbeault cohomology group $H^{p, q} (D)$ , $p \geq 0$ , $q \geq 1$ , of an open subset $D$ of a closed finite codimensional complex Hilbert submanifold of $ℓ_{2}$ is either…

math.CV2009★ 1 cited

On holomorphic domination, I

Imre Patyi

Let $X$ be a separable Banach space and $u : X \to R$ locally upper bounded. We show that there are a Banach space $Z$ and a holomorphic function $h : X \to Z$ with $u(x)<\|h(…

math.CV2008★ 2 cited

On real analytic Banach manifolds

Imre Patyi, Scott Simon

Let $X$ be a real Banach space with an unconditional basis (e.g., $X = ℓ_{2}$ Hilbert space), $Ω \subset X$ open, $M \subset Ω$ a closed split real analytic Banach submanifold of $Ω$ ,…

math.CV2005

On holomorphic Banach vector bundles over Banach spaces

Imre Patyi

We show, e.g., that a holomorphic Banach vector bundle over a pseudoconvex open subset of, say, Hilbert space is holomorphically trivial if it is continuously trivial. Some applica…