Results 11 to 20 of about 434 (77)
INTRINSIC ANALYTIC CONTINUATION AND ENVELOPES OF HOLOMORPHY [PDF]
Proceedings of the National Academy of Sciences, 1965 Bochner S.
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A schlichtness theorem for envelopes of holomorphy [PDF]
Mathematische Zeitschrift, 2006 Let Omega be a domain in C^2. We prove the following theorem. If the envelope of holomorphy of Omega is schlicht over Omega, then the envelope is in fact schlicht. We provide examples showing that the theorem is not true in C^n, n>2. Additionally, we show that the theorem cannot be generalized to provide information about domains in C^2 whose ...
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Envelopes of holomorphy and extension of functions of bounded type
Advances in Mathematics, 2012 We study the extension of holomorphic functions of bounded type defined on an open subset of a Banach space, to larger domains. For this, we first characterize the envelope of holomorphy of a Riemann domain over a Banach space, with respect to the algebra of bounded type holomorphic functions, in terms of the spectrum of the algebra.
Carando, D., Muro, S.
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Analytic Structure of Amplitudes in Gauge Theories with Confinement [PDF]
, 1994 For gauge theories with confinement, the analytic structure of amplitudes is explored. It is shown that the analytic properties of physical amplitudes are the same as those obtained on the basis of an effective theory involving only the composite ...
Oehme, Reinhard
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F-quotients and envelope of F-holomorphy
Journal of Mathematical Analysis and Applications, 1992 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Moraes, Luiza A +2 more
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Group actions and envelopes of holomorphy
Mathematische Annalen, 1994 Suppose \(K\) is a compact Lie group and \(X\) is a Stein manifold on which \(K\) and its complexification \(K^{\mathbb{C}_ C}\) acts as groups of biholomorphic transformations. Assume \(\Omega\) is a \(K\)-invariant domain in \(X\). The present paper is concerned with the problem of determining the envelope of holomorphy \(E(\Omega)\) of \(\Omega ...
CASADIO TARABUSI, Enrico, TRAPANI S.
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Envelopes of holomorphy and polynomial hulls
Mathematische Annalen, 1988 This paper continues the study of polynomial hulls by the authors. Let Y be a compact subset of \({\mathbb{C}}^ 2\) contained in \(\partial \Delta \times \Delta\), where \(\Delta\) is the open unit disk in the plane such that for \(\lambda\in \partial \Delta\) the complement of \(Y_{\lambda}:=\{w:\) (\(\lambda\),w)\(\in Y\}\) is connected.
Wermer, J., ALEXANDER, H.
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Bochner-Hartogs type extension theorem for roots and logarithms of holomorphic line bundles [PDF]
, 2011 We prove an extension theorem for roots and logarithms of holomorphic line bundles across strictly pseudoconcave boundaries: they extend in all cases except one, when dimension and Morse index of a critical point is two.
Ivashkovich, Sergey
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Levi problem and semistable quotients
, 2012 A complex space $X$ is in class ${\mathcal Q}_G$ if it is a semistable quotient of the complement to an analytic subset of a Stein manifold by a holomorphic action of a reductive complex Lie group $G$.
Cox D +7 more
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