A continuation theorem for holomorphic mapping into a Hilbert space
M. Skwarczyński (1970)
Annales Polonici Mathematici
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Displaying similar documents to “Invariant Hilbert spaces of holomorphic functions.”
A continuation theorem for holomorphic mapping into a Hilbert space
On some properties of a differential operator on the polydisk.
Shamoyan, Romi, Li, Songxiao (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Extension of separately holomorphic functions-a survey 1899-2001
Peter Pflug (2003)
Annales Polonici Mathematici
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This note is an attempt to describe a part of the historical development of the research on separately holomorphic functions.
Holomorphic extension from the sphere to the ball in Hilbert space
J. A. Cima, J. A. Pfaltzgraff (1983)
Annales Polonici Mathematici
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Extension of separately holomorphic functions defined in non-open sets in the infinite dimensional case
Ludwik M. Drużkowski (1983)
Annales Polonici Mathematici
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Intermediate holomorphy
M. Nikić (1988)
Matematički Vesnik
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A generalization of the Malgrange-Zerner theorem
Ludwik M. Drużkowski (1980)
Annales Polonici Mathematici
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The image of a finely holomorphic map is pluripolar
Armen Edigarian, Said El Marzguioui, Jan Wiegerinck (2010)
Annales Polonici Mathematici
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We prove that the image of a finely holomorphic map on a fine domain in ℂ is a pluripolar subset of ℂⁿ. We also discuss the relationship between pluripolar hulls and finely holomorphic functions.
Non-extendable holomorphic functions
P. Pflug (1985)
Matematički Vesnik
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On a holomorphic solution of a singular partial differential equation with many simple poles
Joji Kajiwara (1974)
Czechoslovak Mathematical Journal
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Bounded projections and decompositions in spaces of holomorphic functions
M. Mateljević (1986)
Matematički Vesnik
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A note on the Nullstellensatz for c-holomorphic functions
Maciej P. Denkowski (2007)
Annales Polonici Mathematici
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We begin this article with a graph theorem and a kind of Nullstellensatz for weakly holomorphic functions. This yields a general Nullstellensatz for c-holomorphic functions on locally irreducible sets. In Section 2 some methods of Płoski-Tworzewski permit us to prove an effective Nullstellensatz for c-holomorphic functions in the case of a proper intersection with the degree of the intersection cycle as exponent. We also extend this result to the case of isolated improper intersection,...
A method of holomorphic retractions and pseudoinverse matrices in the theory of continuation of δ-tempered functions
Marek Jarnicki
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CONTENTS§1. Introduction.................................................................................................................5§2. Basic properties of δ-tempered holomorphic functions...............................................8§3. Holomorphic continuation and holomorphic retractions.............................................20§4. Continuation from regular neighbourhoods...............................................................32§5. Continuation from δ-regular submanifolds;...