Search Results - Algebras of holomorphic functions of several complex variables
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Algebras of symmetric holomorphic functions of several complex variables
ISSN: 1139-1138, 1988-2807Published: Milan Springer Milan 01.09.2018Published in Revista matemática complutense (01.09.2018)“…Given a proper holomorphic mapping g : Ω ⊆ C n ⟶ Ω ′ ⊆ C n and an algebra of holomorphic functions B (e.g. P ( K ) where K ⊂ Ω…”
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Slice regular functions in several variables
ISSN: 0025-5874, 1432-1823Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2022Published in Mathematische Zeitschrift (01.09.2022)“… This higher dimensional function theory is an extension of the classical theory of holomorphic functions of several complex variables…”
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Local dynamics of non-invertible maps near normal surface singularities
ISBN: 9781470449582, 1470449587ISSN: 0065-9266, 1947-6221Published: Providence, Rhode Island American Mathematical Society 2021“…We study the problem of finding algebraically stable models for non-invertible holomorphic fixed point germs…”
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SOME PROPERTIES OF HOLOMORPHIC CLIFFORDIAN FUNCTIONS IN COMPLEX CLIFFORD ANALYSIS
ISSN: 0252-9602, 1572-9087Published: Elsevier Ltd 01.05.2010Published in Acta mathematica scientia (01.05.2010)“…In this article, we mainly develop the foundation of a new function theory of several complex variables with values in a complex Clifford algebra defined on some subdomains of C^n…”
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Construction of solutions to PDEs using holomorphic functions of several variables
ISSN: 1072-6691, 1072-6691Published: Texas State University 11.11.2024Published in Electronic journal of differential equations (11.11.2024)“… Laplace, Helmholtz, and Poisson equations in the form of components of holomorphic functions of several variables…”
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Topological properties of the Fréchet space of holomorphic functions of several complex variables
ISSN: 0354-2238, 2704-4963Published: Keldysh Institute of Applied Mathematics 01.01.2023Published in Mathematica Montisnigri (01.01.2023)“…Let p( n) ( > 1) be the Privalov class of holomorphic functions on the unit ball n in the space of -complex variables. The class p( n) ( > 1…”
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Which Fueter-Regular Functions are Holomorphic?: Which Fueter-Regular Functions are Holomorphic?
ISSN: 1050-6926, 1559-002XPublished: New York Springer US 01.01.2025Published in The Journal of geometric analysis (01.01.2025)“… Every map of two complex variables that is holomorphic with respect to one of these structures defines a Fueter-regular function…”
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Holomorphic functions with large cluster sets
ISSN: 0025-584X, 1522-2616Published: Weinheim Wiley Subscription Services, Inc 01.07.2021Published in Mathematische Nachrichten (01.07.2021)“…, every point on the sphere in several complex variables and every point of the closed unit ball of the bidual in the infinite dimensional case…”
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Plurisubharmonic and holomorphic functions relative to the plurifine topology
ISSN: 0022-247X, 1096-0813Published: Amsterdam Elsevier Inc 15.09.2011Published in Journal of mathematical analysis and applications (15.09.2011)“…A weak and a strong concept of plurifinely plurisubharmonic and plurifinely holomorphic functions are introduced…”
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On interpolation for Hörmander’s algebras
ISSN: 1674-7283, 1862-2763, 1869-1862Published: Heidelberg SP Science China Press 01.03.2010Published in Science China. Mathematics (01.03.2010)“…We discuss some recent results on interpolation problems for weighted Hörmander’s algebras of holomorphic functions in several complex variables, and also give…”
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Noncoherence of some rings of holomorphic functions in several variables as an easy consequence of the one-variable case
ISSN: 0003-889X, 1420-8938Published: Basel Springer Basel 01.12.2013Published in Archiv der Mathematik (01.12.2013)“…Using the facts that the disk algebra and the Wiener algebra are not coherent, we prove that the polydisc algebra, the ball algebra, and the Wiener algebra…”
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LOCAL LEVI-FLAT HYPERSURFACES INVARIANTS BY A CODIMENSION ONE HOLOMORPHIC FOLIATION
ISSN: 0002-9327, 1080-6377, 1080-6377Published: Baltimore, MD Johns Hopkins University Press 01.06.2011Published in American journal of mathematics (01.06.2011)“… of a holomorphic function…”
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Zeros of Holomorphic Functions in the Unit Ball and Subspherical Functions
ISSN: 1995-0802, 1818-9962Published: Moscow Pleiades Publishing 01.05.2019Published in Lobachevskii journal of mathematics (01.05.2019)“…We continue our previous results from the functions of one complex variable in the unit disk to the functions of several variables in the unit ball. Let M be a δ…”
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Boundaries for algebras of holomorphic functions on Marcinkiewicz sequence spaces
ISSN: 0022-247X, 1096-0813Published: San Diego, CA Elsevier Inc 15.11.2006Published in Journal of mathematical analysis and applications (15.11.2006)“…Let A b ( E ) be the Banach algebra of all complex-valued bounded continuous functions on the closed unit ball B E of a complex Banach space E and holomorphic in the interior of B E and let A u ( E…”
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Slice regular functions in several variables
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 29.07.2020Published in arXiv.org (29.07.2020)“… \(^*\)-algebra, including quaternions, octonions and Clifford algebras. This theory is an extension of the classical theory of holomorphic functions in several complex…”
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Boundaries for algebras of holomorphic functions
ISSN: 0022-247X, 1096-0813Published: San Diego, CA Elsevier Inc 15.05.2003Published in Journal of mathematical analysis and applications (15.05.2003)“…Let A u ( B G ) be the Banach algebra of all complex valued functions defined on the closed unit ball B G of a complex Banach space G which are uniformly continuous on B G and holomorphic in the interior…”
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The -product of domains in several complex variables
ISSN: 1747-6933, 1747-6941Published: Colchester Taylor & Francis 02.01.2024Published in Complex variables and elliptic equations (02.01.2024)“…In this article, we investigate the problem of computing the $ * $ ∗ -product of domains in $ \mathbb {C}^N $ C N . Assuming that $ 0\in G\subset \mathbb {C}^N…”
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Envelopes of open sets and extending holomorphic functions on dual Banach spaces
ISSN: 0022-247X, 1096-0813Published: Amsterdam Elsevier Inc 15.03.2010Published in Journal of mathematical analysis and applications (15.03.2010)“…We investigate certain envelopes of open sets in dual Banach spaces which are related to extending holomorphic functions…”
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Representation Theory and Harmonic Analysis on Symmetric Spaces
ISBN: 9781470440701, 1470440709ISSN: 0271-4132, 1098-3627Published: Providence, Rhode Island American Mathematical Society 24.08.2018“…, complex analysis, operator algebras, Lie algebras, special functions, and differential operators…”
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Categories of Holomorphic Vector Bundles on Noncommutative Two-Tori
ISSN: 0010-3616, 1432-0916Published: Heidelberg Springer 01.05.2003Published in Communications in mathematical physics (01.05.2003)Get full text
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