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Relevant bibliographies by topics / Several complex variables

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Academic literature on the topic 'Several complex variables'

Author: Grafiati

Published: 4 June 2021

Last updated: 11 February 2022

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Journal articles on the topic "Several complex variables"

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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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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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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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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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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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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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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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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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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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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Dissertations / Theses on the topic "Several complex variables"

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Sadykov, Timour. "Hypergeometric functions in several complex variables." Doctoral thesis, Stockholm : Univ, 2002. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-198.

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Mernik, Luka. "Positivity Conditions in Several Complex Variables." The Ohio State University, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=osu1586522855649564.

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McKeown, Jesse. "Functional methods in analysis of several complex variables." Thesis, McGill University, 2007. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=101622.

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Clos, Timothy George. "Compactness of Hankel Operators with Continuous Symbols on Domains in ℂ²". University of Toledo / OhioLINK, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=toledo1492445282323501.

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Önskog, Thomas. "Invariant Pseudodistances and Pseudometrics in Complex Analysis in Several Variables." Thesis, Umeå universitet, Institutionen för matematik och matematisk statistik, 2003. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-51362.

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At present time invariant pseudodistances and pseudometrics pose an important tool in complex analysis in several variables. This thesis is mainly devoted to giving a thorough definition of these objects and in particular to Schwarz-Pick systems such as the Carathéodory and Kobayashi pseudodistances. Most basic properties, such as continuity and boundary behaviour, of the Carathéodory and Kobayashi pseudo-distances and pseudometrics are investigated. As an application of the theory, the thesis is concluded with a proof of the biholomorphic inequivalence between the unit ball and unit polydisc

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Gubkin, Steven A. "L² Mergelyan Theorems in Several Complex Variables." The Ohio State University, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=osu1430998320.

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Bianchi, Fabrizio. "Motions of Julia sets and dynamical stability in several complex variables." Thesis, Toulouse 3, 2016. http://www.theses.fr/2016TOU30099/document.

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Dans cette thèse, on s'intéresse aux systèmes dynamiques holomorphes dépendants de paramètres. Notre objectif est de contribuer à une théorie de la stabilité et des bifurcations en plusieurs variables complexes, généralisant celle des applications rationnelles fondées sur les travaux de Mané, Sad, Sullivan et Lyubich. Pour une famille d'applications d'allure polynomiale, on prouve l'équivalence de plusieurs notions de stabilité, entre autres une version asymptotique du mouvement holomorphe des cycles répulsifs et d'un sous-ensemble de l'ensemble de Julia de mesure pleine. Cela peut etre consid

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Persson, Håkan. "On Stein Neighborhood Bases and the Nebenhülle." Thesis, Umeå University, Mathematics and Mathematical Statistics, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-31704.

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<p>This thesis consists of three parts. The first part is a introduction to the theory of domains of holomorphy through holomorphic convexity. The second part gives a introduction to Stein neighborhood bases in <strong>C</strong><sup>n</sup><strong> </strong>and presents some minor results on the Nebenhülle of a compact set in <strong>C</strong><sup>n</sup>. The third and final part reviews some results on the existence of Stein neighborhood bases.</p><br><p>Denna uppsats består av tre delar. Den första delen introducerar holomorfiområden genom teorin för konvexitet med avseende på holomorfa

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Lan, Ma. "Abschätzungen von Lösungen der [delta bar]-Gleichung auf streng q-konvexen Mengen mit nicht glattem Rand." Bonn : [s.n.], 1989. http://catalog.hathitrust.org/api/volumes/oclc/20436892.html.

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Zhang, Yunxin, and 张云鑫. "On the admissible pairs of rational homogeneous manifolds of Picard number 1 and geometric structures defined by their varieties of minimal rational tangents." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2014. http://hdl.handle.net/10722/206439.

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In a series of works, Jun-Muk Hwang and Ngaiming Mok have developed a geometric theory of uniruled projective manifolds, especially those of Picard Number 1, relying on the study of Varieties of Minimal Rational Tangents (VMRT) from both the algebro-geometric and the G-structure perspectives. Based on this theory, Ngaiming Mok and Jaehyun Hong studied the standard embedding between two Rational Homogeneous Spaces (RHS) associated to long simple roots which are of different dimensions. In this thesis, I consider admissible pairs of RHS (X0, X) of Picard number 1 and locally closed complex subma

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Books on the topic "Several complex variables"

1

Grauert, H., Th Peternell, and R. Remmert, eds. Several Complex Variables VII. Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-662-09873-8.

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Khenkin, G. M., and A. G. Vitushkin, eds. Several Complex Variables II. Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-57882-3.

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Gindikin, S. G., and G. M. Khenkin, eds. Several Complex Variables IV. Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-61263-3.

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Khenkin, G. M., ed. Several Complex Variables III. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-61308-1.

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Khenkin, G. M., ed. Several Complex Variables V. Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-58011-6.

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Hervé, Michel. Several complex variables, local theory. 2nd ed. Published for the Tata Institute of Fundamental Research, Bombay [by the] Oxford University Press, 1987.

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7

Summer Research Institute on Several Complex Variables and Complex Geometry (1989 University of California, Santa Cruz). Several complex variables and complex geometry. Edited by Bedford Eric 1947- and American Mathematical Society. American Mathematical Society, 1991.

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8

Bedford, Eric, John D’Angelo, Robert Greene, and Steven Krantz, eds. Several Complex Variables and Complex Geometry. American Mathematical Society, 1991. http://dx.doi.org/10.1090/pspum/052.1.

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Bedford, Eric, John D’Angelo, Robert Greene, and Steven Krantz, eds. Several Complex Variables and Complex Geometry. American Mathematical Society, 1991. http://dx.doi.org/10.1090/pspum/052.2.

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Bedford, Eric, John D’Angelo, Robert Greene, and Steven Krantz, eds. Several Complex Variables and Complex Geometry. American Mathematical Society, 1991. http://dx.doi.org/10.1090/pspum/052.3.

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Book chapters on the topic "Several complex variables"

1

Zampieri, Giuseppe. "Several complex variables." In Complex Analysis and CR Geometry. American Mathematical Society, 2008. http://dx.doi.org/10.1090/ulect/043/01.

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Akhiezer, D. N. "Homogeneous Complex Manifolds." In Several Complex Variables IV. Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-61263-3_4.

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Dethloff, G., and H. Grauert. "Seminormal Complex Spaces." In Several Complex Variables VII. Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-662-09873-8_5.

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Roslyľ, A. A., O. M. Khudaverdyan, and A. S. Schwarz. "Supersymmetry and Complex Geometry." In Several Complex Variables III. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-61308-1_7.

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Palamodov, V. P. "Deformations of Complex Spaces." In Several Complex Variables IV. Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-61263-3_3.

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Gauthier, Paul M. "Complex Manifolds." In Lectures on Several Complex Variables. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-11511-5_11.

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Ronkin, L. I. "Entire Functions." In Several Complex Variables III. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-61308-1_1.

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Dektyarev, I. M. "Multidimensional Value Distribution Theory." In Several Complex Variables III. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-61308-1_2.

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Poletskiľ, E. A., and B. V. Shabat. "Invariant Metrics." In Several Complex Variables III. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-61308-1_3.

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Zaľdenberg, M. G., and V. Ya Lin. "Finiteness Theorems for Holomorphic Maps." In Several Complex Variables III. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-61308-1_4.

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Conference papers on the topic "Several complex variables"

1

KOHR, GABRIELA. "BIHOLOMORPHIC MAPPINGS AND PARAMETRIC REPRESENTATION IN SEVERAL COMPLEX VARIABLES." In Proceedings of the 3rd ISAAC Congress. World Scientific Publishing Company, 2003. http://dx.doi.org/10.1142/9789812794253_0023.

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GRAHAM, IAN, GABRIELA KHOR, and MIRELA KOHR. "BASIC PROPERTIES OF LOEWNER CHAINS IN SEVERAL COMPLEX VARIABLES." In Proceedings of a Satellite Conference to the International Congress of Mathematicians in Beijing 2002. WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812702500_0011.

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GONG, SHENG. "THE DISTORTION THEOREMS FOR CONVEX MAPPINGS IN SEVERAL COMPLEX VARIABLES." In Proceedings of a Satellite Conference to the International Congress of Mathematicians in Beijing 2002. WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812702500_0009.

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FitzGerald, C. H., and S. Gong. "The Locally Biholomorphic Bloch and Marden Constants in Several Complex Variables." In Conference. WORLD SCIENTIFIC, 1995. http://dx.doi.org/10.1142/9789814533232_0012.

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"A type of gain scheduling which converts to a "classical" problem in several complex variables." In Proceedings of the 1999 American Control Conference. IEEE, 1999. http://dx.doi.org/10.1109/acc.1999.783593.

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KISHKA, Z. M. G., and A. EL-SAYED. "ON THE EFFECTIVENESS OF BASIC SETS OF POLYNOMIALS OF SEVERAL COMPLEX VARIABLES IN ELLIPTICAL REGIONS." In Proceedings of the 3rd ISAAC Congress. World Scientific Publishing Company, 2003. http://dx.doi.org/10.1142/9789812794253_0032.

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Van Bossuyt, Douglas L., Stephen D. Wall, and Irem Y. Tumer. "Towards Risk as a Tradeable Parameter in Complex System Design Trades." In ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/detc2010-29016.

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Complex system conceptual design trade studies traditionally consider risk after a conceptual design has been created. Further, one person is often tasked with collecting risk information and managing it from each subsystem. This paper proposes a method to explicitly consider and trade risk on the same level as other important system-level variables during the creation of conceptual designs in trade studies. The proposed risk trading method advocates putting each subsystem engineer in control of risk for each subsystem. A risk vector is proposed that organizes many different risk metrics for c

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Hu, Zhen, and Sankaran Mahadevan. "Bayesian Network Learning for Uncertainty Quantification." In ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/detc2017-68187.

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Bayesian Networks (BNs) are being studied in recent years for system diagnosis, reliability analysis, and design of complex engineered systems. In several practical applications, BNs need to be learned from available data before being used for design or other purposes. Current BN learning algorithms are mainly developed for networks with only discrete variables. Engineering design problems often consist of both discrete and continuous variables. This paper develops a framework to handle continuous variables in BN learning by integrating learning algorithms of discrete BNs with Gaussian mixture

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Mekhilef, Mounib, and Mohamed B. Trabia. "Successive Twinkling Simplex Search Optimization Algorithms." In ASME 2001 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/detc2001/dac-21132.

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Abstract Simplex algorithms have been proven to be a reliable nonlinear programming pattern search algorithm. The effectiveness of simplex however reduces when the solved problem has large number of variables, several local minima, or when initial guess is not readily available. Recent results obtained by introducing a technique of random selection of the variables in optimization processes, encouraged studying the effect of this idea on the Nelder & Mead version of the simplex algorithm to improve its semi-global behavior. This paper proposes several enhancements to the simplex. The algor

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Hu, Chao, and Byeng D. Youn. "Adaptive-Sparse Polynomial Chaos Expansion for Reliability Analysis and Design of Complex Engineering Systems." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-87713.

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This paper presents an adaptive-sparse polynomial chaos expansion (adaptive-sparse PCE) method for performing engineering reliability analysis and design. The proposed method leverages three ideas: (i) an adaptive scheme to build sparse PCE with the minimum number of bivariate basis functions, (ii) a new projection method using dimension reduction techniques to effectively compute the expansion coefficients of system responses, and (iii) an integration of copula to handle nonlinear correlation of input random variables. The proposed method thus has three distinct features for reliability analy

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