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Journal articles on the topic 'Several complex variables'

Author: Grafiati

Published: 4 June 2021

Last updated: 11 February 2022

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1

Globevnik, Josip, and Edgar Lee Stout. "several complex variables." Duke Mathematical Journal 64, no. 3 (1991): 571–615. http://dx.doi.org/10.1215/s0012-7094-91-06428-8.

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2

Hsiao, Chin-Yu. "Projections in several complex variables." Mémoires de la Société mathématique de France 1 (2010): 1–136. http://dx.doi.org/10.24033/msmf.435.

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3

Krantz, Steven G. "What is Several Complex Variables?" American Mathematical Monthly 94, no. 3 (1987): 236. http://dx.doi.org/10.2307/2323391.

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4

Krantz, Steven G. "What Is Several Complex Variables?" American Mathematical Monthly 94, no. 3 (1987): 236–56. http://dx.doi.org/10.1080/00029890.1987.12000623.

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5

Lupacciolu, Guido. "Holomorphic continuation in several complex variables." Pacific Journal of Mathematics 128, no. 1 (1987): 117–26. http://dx.doi.org/10.2140/pjm.1987.128.117.

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6

Liu, Xiang Yang. "Bloch functions of several complex variables." Pacific Journal of Mathematics 152, no. 2 (1992): 347–63. http://dx.doi.org/10.2140/pjm.1992.152.347.

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7

Hamada, Hidetaka, and Gabriela Kohr. "k-convexity in several complex variables." Annales Polonici Mathematici 78, no. 1 (2002): 85–96. http://dx.doi.org/10.4064/ap78-1-8.

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8

Ehrenpreis, Leon. "Lewy unsolvability and several complex variables." Michigan Mathematical Journal 38, no. 3 (1991): 417–39. http://dx.doi.org/10.1307/mmj/1029004392.

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9

Daochun, Sun. "Normal theorems on several complex variables." Acta Mathematica Scientia 21, no. 3 (2001): 307–15. http://dx.doi.org/10.1016/s0252-9602(17)30416-2.

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10

Zhou, Zehua, and Daochun Sun. "QUASIMEROMORPHIC MAPPINGS OF SEVERAL COMPLEX VARIABLES." Acta Mathematica Scientia 19, no. 5 (1999): 541–47. http://dx.doi.org/10.1016/s0252-9602(17)30542-8.

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11

D’Angelo, John P. "Several complex variables and CR geometry." Illinois Journal of Mathematics 56, no. 1 (2012): 7–19. http://dx.doi.org/10.1215/ijm/1380287456.

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12

Fu, Siqi, and Bernard Russo. "Spectral Domains in Several Complex Variables." Rocky Mountain Journal of Mathematics 27, no. 4 (1997): 1095–116. http://dx.doi.org/10.1216/rmjm/1181071863.

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13

Hamada, Hidetaka, Mihai Iancu, and Gabriela Kohr. "Spiralshapelike mappings in several complex variables." Annali di Matematica Pura ed Applicata (1923 -) 199, no. 6 (2020): 2181–95. http://dx.doi.org/10.1007/s10231-020-00963-w.

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14

Hedenmalm, Håkan. "Outer functions of several complex variables." Journal of Functional Analysis 80, no. 1 (1988): 9–15. http://dx.doi.org/10.1016/0022-1236(88)90061-4.

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15

Zhou, Xiangyu. "Recent Results in Several Complex Variables and Complex Geometry." Proceedings of the Steklov Institute of Mathematics 311, no. 1 (2020): 245–60. http://dx.doi.org/10.1134/s0081543820060164.

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16

Hernández, Rodrigo. "Prescribing the preSchwarzian in several complex variables." Annales Academiae Scientiarum Fennicae Mathematica 36 (2011): 331–40. http://dx.doi.org/10.5186/aasfm.2011.3621.

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17

Günyüz, Ozan, and Vyacheslav Zakharyuta. "On Pólya’s Theorem in several complex variables." Banach Center Publications 107 (2015): 149–57. http://dx.doi.org/10.4064/bc107-0-10.

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18

Zhu, Ting, Sheng ao Zhou, and Liu Yang. "On normal functions in several complex variables." Journal of Classical Analysis, no. 1 (2020): 45–58. http://dx.doi.org/10.7153/jca-2020-16-06.

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19

Chen, So-Chin. "COMPLEX ANALYSIS IN ONE AND SEVERAL VARIABLES." Taiwanese Journal of Mathematics 4, no. 4 (2000): 531–68. http://dx.doi.org/10.11650/twjm/1500407292.

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20

Lawson, H. Blaine. "Stephen Yau’s work in several complex variables." Notices of the International Congress of Chinese Mathematicians 7, no. 2 (2019): 70–71. http://dx.doi.org/10.4310/iccm.2019.v7.n2.a9.

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21

Xiangyu, Zhou. "A brief introduction of several complex variables." SCIENTIA SINICA Mathematica 49, no. 10 (2019): 1347. http://dx.doi.org/10.1360/ssm-2019-0196.

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22

Ian Graham, Hidetaka Hamada, Gabriela Kohr, and John A. Pfaltzgraff. "Convex Subordination Chains in Several Complex Variables." Canadian Journal of Mathematics 61, no. 3 (2009): 566–82. http://dx.doi.org/10.4153/cjm-2009-030-x.

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Abstract.In this paper we study the notion of a convex subordination chain in several complex variables. We obtain certain necessary and sufficient conditions for a mapping to be a convex subordination chain, and we give various examples of convex subordination chains on the Euclidean unit ball in ℂn. We also obtain a sufficient condition for injectivity off(z/‖z‖, ‖z‖) onBn\ ﹛0﹜, wheref(z,t) is a convex subordination chain over (0, 1).

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23

Neelon, Tejinder S. "On reflection principle in several complex variables." Complex Variables, Theory and Application: An International Journal 35, no. 1 (1998): 65–87. http://dx.doi.org/10.1080/17476939808815072.

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24

Lempert, László, and Lee A. Rubel. "An independence result in several complex variables." Proceedings of the American Mathematical Society 113, no. 4 (1991): 1055. http://dx.doi.org/10.1090/s0002-9939-1991-1052577-8.

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25

Bisi, Cinzia. "A Landau’s theorem in several complex variables." Annali di Matematica Pura ed Applicata (1923 -) 196, no. 2 (2016): 737–42. http://dx.doi.org/10.1007/s10231-016-0593-4.

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26

Backlund, Ulf, Linus Carlsson, Anders Fällström, and Håkan Persson. "Semi-Bloch Functions in Several Complex Variables." Journal of Geometric Analysis 26, no. 1 (2015): 463–73. http://dx.doi.org/10.1007/s12220-015-9558-x.

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27

Hamada, Hidetaka, Tatsuhiro Honda, and Gabriela Kohr. "Parabolic starlike mappings in several complex variables." manuscripta mathematica 123, no. 3 (2007): 301–24. http://dx.doi.org/10.1007/s00229-007-0098-y.

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28

Lanzani, Loredana, and Elias M. Stein. "Cauchy-type integrals in several complex variables." Bulletin of Mathematical Sciences 3, no. 2 (2013): 241–85. http://dx.doi.org/10.1007/s13373-013-0038-y.

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29

Zhou, Xiangyu. "Invariant holomorphic extension in several complex variables." Science in China Series A: Mathematics 49, no. 11 (2006): 1593–98. http://dx.doi.org/10.1007/s11425-006-2072-7.

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30

FitzGerald, Carl H., and Sheng Gong. "The Bloch theorem in several complex variables." Journal of Geometric Analysis 4, no. 1 (1994): 35–58. http://dx.doi.org/10.1007/bf02921592.

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31

Graham, Ian, Hidetaka Hamada, Gabriela Kohr, and Mirela Kohr. "Asymptotically spirallike mappings in several complex variables." Journal d'Analyse Mathématique 105, no. 1 (2008): 267–302. http://dx.doi.org/10.1007/s11854-008-0037-1.

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32

Krantz, Steven G. "The Lindelöf principle in several complex variables." Journal of Mathematical Analysis and Applications 326, no. 2 (2007): 1190–98. http://dx.doi.org/10.1016/j.jmaa.2006.03.059.

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33

ALMIRA, J. M., and KH F. ABU-HELAIEL. "On Montel’s theorem in several variables." Carpathian Journal of Mathematics 31, no. 1 (2015): 1–10. http://dx.doi.org/10.37193/cjm.2015.01.01.

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Recently, the first author of this paper, used the structure of finite dimensional translation invariant subspaces of C(R, C) to give a new proof of classical Montel’s theorem, about continuous solutions of Frechet’s functional equation ∆m h f = 0, for real functions (and complex functions) of one real variable. In this paper we use similar ideas to prove a Montel’s type theorem for the case of complex valued functions defined over the discrete group Z d. Furthermore, we also state and demonstrate an improved version of Montel’s Theorem for complex functions of several real variables and compl

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34

Curt, Paula. "JANOWSKI STARLIKENESS IN SEVERAL COMPLEX VARIABLES AND COMPLEX HILBERT SPACES." Taiwanese Journal of Mathematics 18, no. 4 (2014): 1171–84. http://dx.doi.org/10.11650/tjm.18.2014.3917.

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35

Huang, YuSheng, and LiangYu Lin. "The several transformation formula in several complex variables and its applications." Science China Mathematics 53, no. 6 (2010): 1541–53. http://dx.doi.org/10.1007/s11425-009-3182-9.

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36

Sam, Vansak, and Kamthorn Chailuek. "Hardy's Inequality for Functions of Several Complex Variables." Sains Malaysiana 46, no. 9 (2017): 1355–59. http://dx.doi.org/10.17576/jsm-2017-4609-01.

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37

Kim, Kang-Tae, and Steven G. Krantz. "COMPLEX SCALING AND GEOMETRIC ANALYSIS OF SEVERAL VARIABLES." Bulletin of the Korean Mathematical Society 45, no. 3 (2008): 523–61. http://dx.doi.org/10.4134/bkms.2008.45.3.523.

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38

Gong, Sheng, Xuean Zheng, and Qihuang Yu. "The Schwarzian derivative in several complex variables (III)." Science in China Series A: Mathematics 41, no. 2 (1998): 158–71. http://dx.doi.org/10.1007/bf02897441.

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39

HU, PEI-CHU, and CHUNG-CHUN YANG. "THE TUMURA–CLUNIE THEOREM IN SEVERAL COMPLEX VARIABLES." Bulletin of the Australian Mathematical Society 90, no. 3 (2014): 444–56. http://dx.doi.org/10.1017/s0004972714000446.

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AbstractIt is a well-known result that if a nonconstant meromorphic function $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}f$ on $\mathbb{C}$ and its $l$th derivative $f^{(l)}$ have no zeros for some $l\geq 2$, then $f$ is of the form $f(z)=\exp (Az+B)$ or $f(z)=(Az+B)^{-n}$ for some constants $A$, $B$. We extend this result to meromorphic functions of several variables, by first extending the classic Tumura–Clunie theorem for m

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40

Blasco, Oscar, Mikael Lindstrom, and Jari Taskinen. "Bloch-to-BMOA compositions in several complex variables." Complex Variables, Theory and Application: An International Journal 50, no. 14 (2005): 1061–80. http://dx.doi.org/10.1080/02781070500277672.

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41

Zając, Sylwester. "The Hadamard multiplication theorem in several complex variables." Complex Variables and Elliptic Equations 62, no. 1 (2016): 1–26. http://dx.doi.org/10.1080/17476933.2016.1197918.

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42

Wang, Maofa, and Kaikai Han. "Complex symmetric weighted composition operators in several variables." Journal of Mathematical Analysis and Applications 474, no. 2 (2019): 961–87. http://dx.doi.org/10.1016/j.jmaa.2019.01.082.

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43

Bavrin, I. I. "Integral representations of functions of several complex variables." Doklady Mathematics 75, no. 3 (2007): 395–98. http://dx.doi.org/10.1134/s1064562407030179.

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44

Mirotin, A. R. "Properties of Bernstein functions of several complex variables." Mathematical Notes 93, no. 1-2 (2013): 257–65. http://dx.doi.org/10.1134/s0001434613010288.

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45

Gong, Sheng, Qihuang Yu, and Xuean Zheng. "The Schwarzian derivative in several complex variables IV." Science in China Series A: Mathematics 41, no. 8 (1998): 809–19. http://dx.doi.org/10.1007/bf02871664.

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46

Tang, Sufang, and Pengcheng Niu. "Hardy’s theorem and rotations of several complex variables." Analysis Mathematica 35, no. 4 (2009): 273–87. http://dx.doi.org/10.1007/s10476-009-0403-y.

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47

Chakrabarti, Debraj. "Several complex variables are better than just one." Resonance 16, no. 8 (2011): 754–69. http://dx.doi.org/10.1007/s12045-011-0082-4.

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48

Krantz, Steven G. "Harmonic analysis of several complex variables: A survey." Expositiones Mathematicae 31, no. 3 (2013): 215–55. http://dx.doi.org/10.1016/j.exmath.2013.06.001.

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49

Kohr, Gabriela, and Mirela Kohr-Ile. "Subordination theory for holomorphic mappings of several complex variables." Banach Center Publications 37, no. 1 (1996): 129–34. http://dx.doi.org/10.4064/-37-1-129-134.

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50

Martelo, Mitchael, and Bruno Scárdua. "On groups of formal diffeomorphisms of several complex variables." Anais da Academia Brasileira de Ciências 84, no. 4 (2012): 873–80. http://dx.doi.org/10.1590/s0001-37652012000400002.

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In this note we announce some results in the study of groups of formal or germs of analytic diffeomorphisms in several complex variables. Such groups are related to the study of the transverse structure and dynamics of Holomorphic foliations, via the holonomy group notion of a foliation's leaf. For dimension one, there is a well-established dictionary relating analytic/formal classification of the group, with its algebraic properties (finiteness, commutativity, solvability, among others). Such system of equivalences also characterizes the existence of suitable integrating factors, i.e., invari

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