Search Results - Algebras of holomorphic functions of several complex variables

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  1. 1

    Algebras of symmetric holomorphic functions of several complex variables by Aron, Richard M., Falcó, Javier, García, Domingo, Maestre, Manuel

    ISSN: 1139-1138, 1988-2807
    Published: Milan Springer Milan 01.09.2018
    Published 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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    Journal Article
  2. 2

    Slice regular functions in several variables by Ghiloni, Riccardo, Perotti, Alessandro

    ISSN: 0025-5874, 1432-1823
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2022
    Published 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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    Journal Article
  3. 3

    Local dynamics of non-invertible maps near normal surface singularities by Gignac, William, Ruggiero, Matteo

    ISBN: 9781470449582, 1470449587
    ISSN: 0065-9266, 1947-6221
    Published: 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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  4. 4

    SOME PROPERTIES OF HOLOMORPHIC CLIFFORDIAN FUNCTIONS IN COMPLEX CLIFFORD ANALYSIS by 库敏 杜金元 王道顺

    ISSN: 0252-9602, 1572-9087
    Published: Elsevier Ltd 01.05.2010
    Published 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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    Journal Article
  5. 5

    Construction of solutions to PDEs using holomorphic functions of several variables by Shpakivskyi, Vitalii

    ISSN: 1072-6691, 1072-6691
    Published: Texas State University 11.11.2024
    “…  Laplace, Helmholtz, and Poisson equations in the form of components  of holomorphic functions of several variables…”
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    Journal Article
  6. 6

    Topological properties of the Fréchet space of holomorphic functions of several complex variables by Iida, Yasuo

    ISSN: 0354-2238, 2704-4963
    Published: Keldysh Institute of Applied Mathematics 01.01.2023
    Published 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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    Journal Article
  7. 7

    Which Fueter-Regular Functions are Holomorphic?: Which Fueter-Regular Functions are Holomorphic? by Perotti, Alessandro, Stoppato, Caterina

    ISSN: 1050-6926, 1559-002X
    Published: New York Springer US 01.01.2025
    Published 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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    Journal Article
  8. 8

    Holomorphic functions with large cluster sets by Alves, Thiago R., Carando, Daniel

    ISSN: 0025-584X, 1522-2616
    Published: Weinheim Wiley Subscription Services, Inc 01.07.2021
    Published 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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    Journal Article
  9. 9

    Plurisubharmonic and holomorphic functions relative to the plurifine topology by El Kadiri, Mohamed, Fuglede, Bent, Wiegerinck, Jan

    ISSN: 0022-247X, 1096-0813
    Published: Amsterdam Elsevier Inc 15.09.2011
    “…A weak and a strong concept of plurifinely plurisubharmonic and plurifinely holomorphic functions are introduced…”
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    Journal Article
  10. 10

    On interpolation for Hörmander’s algebras by Li, Bao Qin

    ISSN: 1674-7283, 1862-2763, 1869-1862
    Published: Heidelberg SP Science China Press 01.03.2010
    Published 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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    Journal Article
  11. 11

    Noncoherence of some rings of holomorphic functions in several variables as an easy consequence of the one-variable case by Mortini, Raymond, Sasane, Amol

    ISSN: 0003-889X, 1420-8938
    Published: Basel Springer Basel 01.12.2013
    Published 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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    Journal Article
  12. 12

    LOCAL LEVI-FLAT HYPERSURFACES INVARIANTS BY A CODIMENSION ONE HOLOMORPHIC FOLIATION by Cerveau, D., Neto, A. Lins

    ISSN: 0002-9327, 1080-6377, 1080-6377
    Published: Baltimore, MD Johns Hopkins University Press 01.06.2011
    Published in American journal of mathematics (01.06.2011)
    “… of a holomorphic function…”
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    Journal Article
  13. 13

    Zeros of Holomorphic Functions in the Unit Ball and Subspherical Functions by Khabibullin, B. N., Khabibullin, F. B.

    ISSN: 1995-0802, 1818-9962
    Published: Moscow Pleiades Publishing 01.05.2019
    Published 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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    Journal Article
  14. 14

    Boundaries for algebras of holomorphic functions on Marcinkiewicz sequence spaces by Choi, Yun Sung, Han, Kwang Hee

    ISSN: 0022-247X, 1096-0813
    Published: San Diego, CA Elsevier Inc 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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  15. 15

    Slice regular functions in several variables by Ghiloni, Riccardo, Perotti, Alessandro

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 29.07.2020
    Published 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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    Paper
  16. 16

    Boundaries for algebras of holomorphic functions by Moraes, Luiza Amália, Romero Grados, Luis

    ISSN: 0022-247X, 1096-0813
    Published: San Diego, CA Elsevier Inc 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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    Journal Article
  17. 17

    The -product of domains in several complex variables by Zając, Sylwester

    ISSN: 1747-6933, 1747-6941
    Published: Colchester Taylor & Francis 02.01.2024
    Published 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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  18. 18

    Envelopes of open sets and extending holomorphic functions on dual Banach spaces by García, Domingo, Kalenda, Ondřej F.K., Maestre, Manuel

    ISSN: 0022-247X, 1096-0813
    Published: Amsterdam Elsevier Inc 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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    Journal Article
  19. 19

    Representation Theory and Harmonic Analysis on Symmetric Spaces by Christensen, Jens Gerlach, Dann, Susanna, Dawson, Matthew

    ISBN: 9781470440701, 1470440709
    ISSN: 0271-4132, 1098-3627
    Published: Providence, Rhode Island American Mathematical Society 24.08.2018
    “…, complex analysis, operator algebras, Lie algebras, special functions, and differential operators…”
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  20. 20

    Categories of Holomorphic Vector Bundles on Noncommutative Two-Tori by Polishchuk, A., Schwarz, A.

    ISSN: 0010-3616, 1432-0916
    Published: Heidelberg Springer 01.05.2003
    Published in Communications in mathematical physics (01.05.2003)
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    Journal Article