Found 119 Documents (Results 1–100)

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A survey on Loewner chains, approximation results, and related problems for univalent mappings on the unit ball in $$Bbb{C}^N$$. (English)Zbl 07523916

MSC:  32H02 30C45

A survey on Loewner chains and related problems for bounded balanced pseudoconvex domains in $$\mathbb{C}^N$$. (English)Zbl 07523851

MSC:  32H02 30C45 32T99

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Real rectifiable currents, holomorphic chains and algebraic cycles. (English)Zbl 1478.32110

MSC:  32U40 14C25
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Support points for families of univalent mappings on bounded symmetric domains. (English)Zbl 1464.32021

MSC:  32H02 32M15
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MSC:  32H02
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Kuranishi structures and virtual fundamental chains. (English)Zbl 1482.53002

Springer Monographs in Mathematics. Singapore: Springer (ISBN 978-981-15-5561-9/hbk; 978-981-15-5564-0/pbk; 978-981-15-5562-6/ebook). xv, 638 p. (2020).
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An embedding of the unit ball that does not embed into a Loewner chain. (English)Zbl 1471.32010

MSC:  32E20 32E30 32H02
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Semistable twisted holomorphic chains on non-compact Kähler manifolds. (English)Zbl 1436.32084

MSC:  32Q15 53C55
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A characterization of real holomorphic chains and applications in representing homology classes by algebraic cycles. (English)Zbl 1439.32023

MSC:  32C30 32C35 14C25
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Extension operators preserving Janowski classes of univalent functions. (English)Zbl 1436.32061

MSC:  32H02 30C45
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Geometric properties of the nonlinear resolvent of holomorphic generators. (English)Zbl 1439.30048

MSC:  30D05 30C35
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Loewner chains associated with close to almost starlike mappings of order $$\alpha$$. (English)Zbl 1436.32064

MSC:  32H02 30C45
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Projections of Gibbs measures on self-conformal sets. (English)Zbl 1406.28002

MSC:  28A80 37F35
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Extremal problems for mappings with $$g$$-parametric representation on the unit polydisc in $$\mathbb{C}^n$$. (English)Zbl 1405.32015

Agranovsky, Mark (ed.) et al., Complex analysis and dynamical systems. New trends and open problems. Cham: Birkhäuser (ISBN 978-3-319-70153-0/hbk; 978-3-319-70154-7/ebook). Trends in Mathematics, 141-167 (2018).
MSC:  32H02 30C45 46G20
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Loewner chains and extremal problems for mappings with $$A$$-parametric representation in $$\mathbb{C}^n$$. (English)Zbl 1403.32005

Bracci, Filippo (ed.), Geometric function theory in higher dimension. Selected papers based on the presentations at the INDAM workshop, Palazzone in Cortona, Italy, September 5–9, 2016. Cham: Springer (ISBN 978-3-319-73125-4/hbk; 978-3-319-73126-1/ebook). Springer INdAM Series 26, 165-182 (2017).
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Extremal problems and convergence results for mappings with generalized parametric representation in $$\mathbb{C}^n$$. (English)Zbl 1403.32006

Bracci, Filippo (ed.), Geometric function theory in higher dimension. Selected papers based on the presentations at the INDAM workshop, Palazzone in Cortona, Italy, September 5–9, 2016. Cham: Springer (ISBN 978-3-319-73125-4/hbk; 978-3-319-73126-1/ebook). Springer INdAM Series 26, 117-128 (2017).
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Krull dimensions of rings of holomorphic functions. (English)Zbl 1401.32003

Agranovsky, Mark L. (ed.) et al., Complex analysis and dynamical systems VII. Proceedings of the 7th international conference on complex analysis and dynamical systems (CA&DS VII), Nahariya, Israel, May 10–15, 2015. Providence, RI: American Mathematical Society (AMS); Ramat Gan: Bar-Ilan University (ISBN 978-1-4704-2961-4/pbk; 978-1-4704-4256-9/ebook). Contemporary Mathematics 699. Israel Mathematical Conference Proceedings, 167-173 (2017).
MSC:  32A10 16P70
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The cardinal Krull dimension of a ring of holomorphic functions. (English)Zbl 1375.32007

MSC:  32A10 16P70
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A class of adding machines and Julia sets. (English)Zbl 1366.37011

MSC:  37A30 37F50 60J10
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Convergence results for families of univalent mappings on the unit ball in $$\mathbf{C}^n$$. (English)Zbl 1342.32014

MSC:  32H02 30C45
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Extremal problems for mappings with generalized parametric representation in $${\mathbb {C}}^{n}$$. (English)Zbl 1342.32013

MSC:  32H02 30C45
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Loewner chain associated with the modified Roper-Suffridge extension operator. (English)Zbl 1339.32006

MSC:  32H02 30C45
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MSC:  32H02
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Shadowing and $$\omega$$-limit sets of circular Julia sets. (English)Zbl 1338.37060

MSC:  37F50 37C50
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The $$\omega$$-limit sets of quadratic Julia sets. (English)Zbl 1337.37028

MSC:  37F10 37F50 37B10
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Combinatorics and geometry of transportation polytopes: an update. (English)Zbl 1360.90169

Barg, Alexander (ed.) et al., Discrete geometry and algebraic combinatorics. AMS special session on discrete geometry and algebraic combinatorics, San Diego, CA, USA, January 11, 2013. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-0905-0/pbk; 978-1-4704-1949-3/ebook). Contemporary Mathematics 625, 37-76 (2014).
MSC:  90C08 90B06 37F20
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Sharp estimates of homogeneous expansion of almost spirallike mappings of type $$\beta$$ and order $$\alpha$$ in $$B^n$$. (Chinese. English summary)Zbl 1340.32004

MSC:  32A19 32H02

Analytic and geometric properties associated with some extension operators. (English)Zbl 1303.32008

MSC:  32H02 32A30 30C45
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Polynomial approximation to option prices under regime switching. (English)Zbl 1412.91223

MSC:  91G20 60J28 32E30
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The method of Loewner chains in the study of the univalence of $$C^2$$ mappings. (English)Zbl 1313.32018

MSC:  32H02 30C45

Spectrum of stochastic adding machines and fibered Julia sets. (English)Zbl 1385.37006

MSC:  37A30 37F50 47A10
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Loewner chains and generalized almost starlike mappings. (English)Zbl 1299.34037

MSC:  34A30 32H02

An extension operator and Loewner chains on the Euclidean unit ball in $$\mathbb C^n$$. (English)Zbl 1299.32017

MSC:  32H02 30C45

The log canonical threshold of holomorphic functions. (English)Zbl 1267.32027

MSC:  32S05 14B05 32U25
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Extreme points, support points and the Loewner variation in several complex variables. (English)Zbl 1257.32012

MSC:  32H02 30C45
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Evolution families and the Loewner equation. I: The unit disc. (English)Zbl 1267.30025

MSC:  30C35 34M99
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On subordination chains with normalization given by a time-dependent linear operator. (English)Zbl 1275.32016

MSC:  32H02 32A30 30C45
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Generalized almost starlikenes associated with extension operators for biholomorphic mappings. (English)Zbl 1265.32021

MSC:  32H02 30C45 32A30

Almost starlikeness of complex order $$\lambda$$ associated with extension operators for biholomorphic mappings. (English)Zbl 1265.32020

MSC:  32H02 30C45 32A30

The Löwner-Kufarev representations for domains with analytic boundaries. (English)Zbl 1267.30026

MSC:  30C35 30C20 30C80
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Zig-zag chains and metric equivalences between ultrametric spaces. (English)Zbl 1229.54038

Reviewer: Ziga Virk (Litija)
MSC:  54E35 18B30 37F20
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MSC:  32H02
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Twisted holomorphic chains and vortex equations over non-compact Kähler manifolds. (English)Zbl 1205.32016

MSC:  32L05 58J32
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Loewner chains and almost starlike mappings of complex order $$\lambda$$. (English)Zbl 1224.32016

MSC:  32H02 30C45

On non-normalized subordination chains in $$\mathbb C^n$$. (English)Zbl 1224.32017

MSC:  32H02 30C45 32A19

Solutions for the generalized Loewner differential equation in several complex variables. (English)Zbl 1196.32014

MSC:  32H02 30C45 32A30
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Homeomorphic extension of strongly spirallike mappings in $$\mathbb C^n$$. (English)Zbl 1189.32010

MSC:  32H02 30C45
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Convex subordination chains and injective mappings in $$\mathbb C^n$$. (English)Zbl 1187.32012

MSC:  32H02 32A10
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A remark on amoebas in higher codimensions. (English)Zbl 1297.32008

Gustafsson, Björn (ed.) et al., Analysis and mathematical physics. Lectures delivered at the international conference “New trends in harmonic and complex analysis”, Voss, Norway, May 7–12, 2007. Basel: Birkhäuser (ISBN 978-3-7643-9905-4/hbk). Trends in Mathematics, 465-471 (2009).
MSC:  32A60 32A07 42A75
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Loewner chains and the generalized Roper-Suffridge extension operator. (Chinese. English summary)Zbl 1224.32009

MSC:  32A30 30C45 32H02

Boundaries of positive holomorphic chains and the relative Hodge question. (English)Zbl 1202.32006

Dai, Xianzhe (ed.) et al., From probability to geometry II. Volume in honor of the 60th birthday of Jean-Michel Bismut. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-289-1/pbk). Astérisque 328, 207-221 (2009).
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Julia sets and chaotic tunneling. I. (English)Zbl 1316.70024

MSC:  70K55 37D45 37F50
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Coefficient bounds for biholomorphic mappings which have a parametric representation. (English)Zbl 1167.32013

MSC:  32H02 32A10
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Convex subordination chains in several complex variables. (English)Zbl 1167.32012

MSC:  32H02 30C45
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Parametric representation and asymptotic starlikeness in $$\mathbb {C}^n$$. (English)Zbl 1157.32016

MSC:  32H02 30C45
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A class of Loewner chain preserving extension operators. (English)Zbl 1133.32007

MSC:  32H02 30C45 32A30
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Parametric representation and linear functionals associated with extension operators for biholomorphic mappings. (English)Zbl 1150.32006

MSC:  32H02 30C45 32A30

The asymptotical case of certain quasiconformal extension results for holomorphic mappings in $$\mathbb C^n$$. (English)Zbl 1135.32017

MSC:  32H02 30C45
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Parabolic starlike mappings in several complex variables. (English)Zbl 1131.32009

MSC:  32H02 30C45 32A17
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Loewner chains and a modification of the Roper-Suffridge extension operator. (English)Zbl 1174.32311

MSC:  32H99 30C45

The Roper-Suffridge extension operator and classes of biholomorphic mappings. (English)Zbl 1123.32009

MSC:  32H02 30C45
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On the geometry of moduli spaces of holomorphic chains over compact Riemann surfaces. (English)Zbl 1111.32012

MSC:  32G15 14H60 53D30
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Radius problems for holomorphic mappings on the unit ball in $$\mathbb C^n$$. (English)Zbl 1116.32008

MSC:  32H02 30C45
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MSC:  32C25

MSC:  32H02
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Subordination chains and Loewner differential equations in several complex variables. (English)Zbl 1092.32010

MSC:  32H02 30C45

Quasiconformal extension of biholomorphic mappings in several complex variables. (English)Zbl 1089.32009

MSC:  32H02 32D99 30C45
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The general solution of the Loewner differential equation on the unit ball in $$\mathbb {C}^n$$. (English)Zbl 1089.32008

Agranovsky, Mark (ed.) et al., Complex analysis and dynamical systems II. Proceedings of the 2nd conference in honor of Professor Lawrence Zalcman’s sixtieth birthday, Nahariya, Israel, June 9–12, 2003. Providence, RI: American Mathematical Society (AMS); Ramat Gan: Bar-Ilan University (ISBN 0-8218-3709-5/pbk). Contemporary Mathematics 382. Israel Mathematical Conference Proceedings, 191-203 (2005).
MSC:  32H02 30C45 32A30

Parametric representation and extension operator for biholomorphic mappings on some Reinhardt domains. (English)Zbl 1083.32013

MSC:  32H02 30C45
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Sigma models and string topology. (English)Zbl 1080.53085

Lyubich, Mikhail (ed.) et al., Graphs and patterns in mathematics and theoretical physics. Proceedings of the conference dedicated to Dennis Sullivan’s 60th birthday, June 14–21, 2001. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3666-8/hbk). Proceedings of Symposia in Pure Mathematics 73, 1-11 (2005).

Loewner chains and the Loewner differential equation in reflexive complex Banach spaces. (English)Zbl 1088.32501

MSC:  32H99 30C45 58B12

Geometric function theory in one and higher dimensions. (English)Zbl 1042.30001

Pure and Applied Mathematics, Marcel Dekker 255. New York, NY: Marcel Dekker (ISBN 0-8247-0976-4/hbk). xv, 530 p. $185.00;$ 148.00/eBook (2003).

Loewner chains and parametric representation in several complex variables. (English)Zbl 1029.32004

MSC:  32H02 32A17 32A19
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Extension operators for locally univalent mappings. (English)Zbl 1025.32017

MSC:  32H02 32A17 32A30
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MSC:  32H02
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An extension theorem and subclasses of univalent mappings in several complex variables. (English)Zbl 1026.32033

MSC:  32H02 30C45
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The argument principle and boundaries of analytic varieties. (English)Zbl 0987.32003

Kérchy, László (ed.) et al., Recent advances in operator theory and related topics. The Béla Szőkefalvi-Nagy memorial volume. Proceedings of the memorial conference, Szeged, Hungary, August 2-6, 1999. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 127, 639-659 (2001).
MSC:  32C30 32D15 32H99

Boundary problem in compactifications of $$\mathbb{C}^n$$. (Problème du bord dans les compactifiés de $$\mathbb{C}^n$$.) (French)Zbl 0979.32008

Reviewer: Z.Hajto (Kraków)
MSC:  32C30 49Q15
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MSC:  32D15
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Criterion for a chain of $$\sigma$$-processes to be the composition of triangular chains. (English. Russian original)Zbl 0947.14031

Math. Notes 65, No. 5, 539-547 (1999); translation from Mat. Zametki 65, No. 5, 643-653 (1999).
MSC:  14R15 32A10 14E07
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Spirallike mappings on bounded balanced pseudo-convex domains in $$\mathbb{C}^n$$. (English)Zbl 0994.32013

MSC:  32H02 30C45 32A30

Bézout-type theorems for certain analytic sets. (English)Zbl 0947.32002

Reviewer: M.Roczen (Berlin)
MSC:  32B15 32B99

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