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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, 231-271 (2018).

MSC: 30C35 30C40 30C55 30C75 30F30 30F60 32G15 32Q15 37F30 46G20 53B35 53C55

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Tang, Shuan; Shen, Yuliang

Integrable Teichmüller space. (English) Zbl 1391.30058

J. Math. Anal. Appl. 465, No. 1, 658-672 (2018).

MSC: 30F60 32G15

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Radnell, David; Schippers, Eric; Staubach, Wolfgang

Quasiconformal Teichmüller theory as an analytical foundation for two-dimensional conformal field theory. Dedicated to Jim Lepowsky and Robert Wilson on the occasion of their 70th birthdays. (English) Zbl 1393.30034

Barron, Katrina (ed.) et al., Lie algebras, vertex operator algebras, and related topics. Conference in honor of J. Lepowsky and R. Wilson on the occasion ot their 70th birthdays, University of Notre Dame, Notre Dame, IN, USA, August 14–18, 2015. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2666-8/pbk; 978-1-4704-4196-8/ebook). Contemporary Mathematics 695, 205-238 (2017).

Reviewer: Dmitri V. Prokhorov (Saratov)

MSC: 30F60 30C55 30C62 32G15 81T40 30-02 32-02 81-02

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Radnell, David; Schippers, Eric; Staubach, Wolfgang

Quasiconformal maps of bordered Riemann surfaces with \(L^2\) Beltrami differentials. (English) Zbl 1379.30013

J. Anal. Math. 132, 229-245 (2017).

Reviewer: Matti Vuorinen (Turku)

MSC: 30C65

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Lan, Shi-Yi; Dai, Dao-Qing

Approximation of conformal welding for finitely connected regions. (English) Zbl 1373.30010

Complex Var. Elliptic Equ. 62, No. 8, 1117-1134 (2017).

MSC: 30C35 30G25 52C15 30C62

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Schippers, Eric; Staubach, Wolfgang

Harmonic reflection in quasicircles and well-posedness of a Riemann-Hilbert problem on quasidisks. (English) Zbl 1357.31001

J. Math. Anal. Appl. 448, No. 2, 864-884 (2017).

Reviewer: Marius Ghergu (Dublin)

MSC: 31A05 30E25

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Radnell, David; Schippers, Eric; Staubach, Wolfgang

Convergence of the Weil-Petersson metric on the Teichmüller space of bordered Riemann surfaces. (English) Zbl 1354.30035

Commun. Contemp. Math. 19, No. 1, Article ID 1650025, 39 p. (2017).

MSC: 30F60 32G15

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Schippers, Eric

Quadratic differentials and conformal invariants. (English) Zbl 1362.30035

J. Anal. 24, No. 2, 209-228 (2016).

MSC: 30C75 30F30 30C35 30C50

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Radnell, David; Schippers, Eric; Staubach, Wolfgang

Weil-Petersson class non-overlapping mappings into a Riemann surface. (English) Zbl 1339.30019

Commun. Contemp. Math. 18, No. 4, Article ID 1550060, 21 p. (2016).

MSC: 30F60 32G15 30C62 46E20

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Radnell, David; Schippers, Eric; Staubach, Wolfgang

A Hilbert manifold structure on the Weil-Petersson class Teichmüller space of bordered Riemann surfaces. (English) Zbl 1319.30034

Commun. Contemp. Math. 17, No. 4, Article ID 1550016, 42 p. (2015).

MSC: 30F60 32G15

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Bumpus, J’lee; Williams, G. Brock

Discrete welding on Riemann surfaces. (English) Zbl 1275.30014

Complex Anal. Oper. Theory 7, No. 5, 1481-1493 (2013).

MSC: 30F60 52C26

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Williams, G. Brock

Constructing conformal maps of triangulated surfaces. (English) Zbl 1242.30007

J. Math. Anal. Appl. 390, No. 1, 113-120 (2012).

Reviewer: D. A. Brannan (Milton Keynes)

MSC: 30C35 52C26 30F99

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Radnell, David; Schippers, Eric

Fiber structure and local coordinates for the Teichmüller space of a bordered Riemann surface. (English) Zbl 1196.30040

Conform. Geom. Dyn. 14, 14-34 (2010).

Reviewer: Ren Guo (Minneapolis)

MSC: 30F60 58B12 81T40

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Radnell, David; Schippers, Eric

A complex structure on the set of quasiconformally extendible non-overlapping mappings into a Riemann surface. (English) Zbl 1183.30020

J. Anal. Math. 108, 277-291 (2009).

Reviewer: Jan Stankiewicz (Rzeszów)

MSC: 30C75 30C65

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Found 36 Documents (Results 1–36)

Weil-Petersson Teichmüller theory of surfaces of infinite conformal type. (English) Zbl 07918553

The Loewner-Kufarev energy and foliations by Weil-Petersson quasicircles. (English) Zbl 1542.30007

Function theoretic characterizations of Weil-Petersson curves. (English) Zbl 1516.30028

Analysis on quasidisks: a unified approach through transmission and jump problems. (English) Zbl 1515.30060

Slit-strip Ising boundary conformal field theory. I: Discrete and continuous function spaces. (English) Zbl 1508.30085

Integrable Teichmüller space. (English) Zbl 1503.30052

A Kreiss type inequality for rational functions on general domains. (English) Zbl 1516.47026

Weil-Petersson Teichmüller space. III: Dependence of Riemann mappings for Weil-Petersson curves. (English) Zbl 07412159

Schiffer comparison operators and approximations on Riemann surfaces bordered by quasicircles. (English) Zbl 1475.30101

On Teichmüller space of circle diffeomorphisms with Hölder continuous derivative. (English) Zbl 1461.30052

Teichmüller space of circle diffeomorphisms with Zygmund smooth. (English) Zbl 1461.30108

Schiffer operators and calculation of a determinant line in conformal field theory. (English) Zbl 1456.30026

Plemelj-Sokhotski isomorphism for quasicircles in Riemann surfaces and the Schiffer operators. (English) Zbl 1461.30098

Faber and Grunsky operators corresponding to bordered Riemann surfaces. (English) Zbl 1451.30085

Weil-Petersson Teichmüller space revisited. (English) Zbl 1460.30013

Transmission of harmonic functions through quasicircles on compact Riemann surfaces. (English) Zbl 1461.30051

A note on quasisymmetric homeomorphisms. (English) Zbl 1439.30042

Dirichlet spaces of domains bounded by quasicircles. (English) Zbl 1441.30055

Weil-Petersson Teichmüller space. II: Smoothness of flow curves of \(H^{\frac{3}{2}} \)-vector fields. (English) Zbl 1436.30015

A model of the Teichmüller space of genus-zero bordered surfaces by period maps. (English) Zbl 1426.30031

Random conformal welding for finitely connected regions. (English) Zbl 1417.30013

Smoothness and strongly pseudoconvexity of \(p\)-Weil-Petersson metric. (English) Zbl 1423.30033

Comparison moduli spaces of Riemann surfaces. (English) Zbl 1405.30009

Integrable Teichmüller space. (English) Zbl 1391.30058

Quasiconformal Teichmüller theory as an analytical foundation for two-dimensional conformal field theory. Dedicated to Jim Lepowsky and Robert Wilson on the occasion of their 70th birthdays. (English) Zbl 1393.30034

Quasiconformal maps of bordered Riemann surfaces with \(L^2\) Beltrami differentials. (English) Zbl 1379.30013

Approximation of conformal welding for finitely connected regions. (English) Zbl 1373.30010

Harmonic reflection in quasicircles and well-posedness of a Riemann-Hilbert problem on quasidisks. (English) Zbl 1357.31001

Convergence of the Weil-Petersson metric on the Teichmüller space of bordered Riemann surfaces. (English) Zbl 1354.30035

Quadratic differentials and conformal invariants. (English) Zbl 1362.30035

Weil-Petersson class non-overlapping mappings into a Riemann surface. (English) Zbl 1339.30019

A Hilbert manifold structure on the Weil-Petersson class Teichmüller space of bordered Riemann surfaces. (English) Zbl 1319.30034

Discrete welding on Riemann surfaces. (English) Zbl 1275.30014

Constructing conformal maps of triangulated surfaces. (English) Zbl 1242.30007

Fiber structure and local coordinates for the Teichmüller space of a bordered Riemann surface. (English) Zbl 1196.30040

A complex structure on the set of quasiconformally extendible non-overlapping mappings into a Riemann surface. (English) Zbl 1183.30020

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