2018
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1. |
Gumenyuk, Pavel. Becker’s criterion for quasiconformal extendibility and the λ-Lemma. International Workshop on Conformal Dynamics and Loewner Theory; 2018-09-05 - 2018-09-07 UIS
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2. |
Gumenyuk, Pavel. Parametric representations and boundary fixed points of univalent self-maps of the unit disk. Springer INdAM Series 2018 ;Volum 26. s. 67-85 UIS
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3. |
Gumenyuk, Pavel; Prause, István. Quasiconformal extensions, Loewner chains, and the λ-Lemma. Analysis and Mathematical Physics 2018 s. - UIS
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Gumenyuk, Pavel; Prokhorov, Dmitri. Value regions of univalent self-maps with two boundary fixed points. Annales Academiae Scientiarum Fennicae Mathematica 2018 ;Volum 43. s. 451-462 UIS
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2017
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5. |
Gumenyuk, Pavel. Loewner Theory: recent results and applications. Seminar in Functional Analysis; 2017-10-12 - 2017-10-12 UIS
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6. |
Gumenyuk, Pavel. Parametric representation of univalent functions with boundary regular fixed points. Constructive approximation 2017 ;Volum 46.(3) s. 435-458 UIS
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7. |
Gumenyuk, Pavel. Value regions of univalent self-maps with two boundary fixed points. International Conference on Applied Mathematics and Informatics; 2017-11-26 - 2017-12-01 UIS
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2016
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8. |
Arosio, Leandro; Gumenyuk, Pavel. Valiron and Abel equations for holomorphic self-maps of the polydisc. International Journal of Mathematics 2016 ;Volum 27.(4) UIS
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9. |
Bracci, Filippo; Gumenyuk, Pavel Anatolyevich. Contact points and fractional singularities for semigroups of holomorphic self-maps of the unit disc. Journal d'Analyse Mathematique 2016 ;Volum 130.(1) s. 185-217 UIS
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10. |
del Monaco, Andrea; Gumenyuk, Pavel Anatolyevich. Chordal Loewner Equation. Contemporary Mathematics 2016 ;Volum 667. s. 63-77 UIS
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11. |
Gumenyuk, Pavel. Parametric representation of univalent holomorphic self-maps of the unit disk. Geometric Function Theory in higher dimensions; 2016-09-05 - 2016-09-09 UIS
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12. |
Gumenyuk, Pavel. Parametric representations and quasiconformal extensions by means of modern Loewner Theory. Spaces of Analytic Functions and Singular Integrals (SAFSI2016); 2016-10-17 - 2016-10-20 UIS
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13. |
Gumenyuk, Pavel. Quasiconformal extensions of holomorphic functions in the half-plane via chordal Loewner equation. Geometric Analysis in Control and Vision Theory; 2016-05-09 - 2016-05-14 UIS
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14. |
Gumenyuk, Pavel Anatolyevich; Hotta, Ikkei. Chordal Loewner chains with quasiconformal extensions. Mathematische Zeitschrift 2016 s. - UIS
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2015
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15. |
Bracci, Filippo; Contreras, Manuel D.; Díaz-Madrigal, Santiago; Gumenyuk, Pavel. Boundary regular fixed points in Loewner Theory. Annali di Matematica Pura ed Applicata 2015 ;Volum 194.(1) s. 221-245
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16. |
Contreras, Manuel D.; Díaz-Madrigal, Santiago; Gumenyuk, Pavel. Slope Problem for Trajectories of Holomorphic Semigroups in the Unit Disk. Computational methods in Function Theory 2015 ;Volum 15.(1) s. 117-124
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17. |
Gumenyuk, Pavel. Loewner-type representation for conformal self-maps of the disk with prescribed boundary fixed points. Analysis Seminar UiB; 2015-11-10 UIS
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18. |
Gumenyuk, Pavel. Quasiconformal extensions via the chordal Loewner equation. International Conference "Complex Analysis & Dynamical Systems, VII"; 2015-05-10 - 2015-05-15 UIS
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2014
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19. |
Contreras, Manuel D.; Díaz-Madrigal, Santiago; Gumenyuk, Pavel. Local duality in Loewner equations. Journal of Nonlinear and Convex Analysis 2014 ;Volum 15.(2) s. 269-297
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20. |
Gumenyuk, Pavel. Angular and unrestricted limits of one-parameter semigroups in the unit disk. Journal of Mathematical Analysis and Applications 2014 ;Volum 417.(1) s. 200-224
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21. |
Gumenyuk, Pavel. Loewner-type Parametric Representation of univalent self-maps with given boundary regular fixed points. International Workshop on Conformal Dynamics and Loewner Theory; 2014-11-22 - 2014-11-24 UIS
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22. |
Gumenyuk, Pavel. Recent advances in Loewner Theory. Oslo – Gothenburg Meeting in Complex Analysis and Geometry; 2014-12-11 - 2014-12-12 UIS
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2013
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23. |
Contreras, Manuel D.; Díaz-Madrigal, Santiago; Gumenyuk, Pavel. Loewner theory in annulus I: Evolution families and differential equations. Transactions of the American Mathematical Society 2013 ;Volum 365.(5) s. 2505-2543 UiB
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2011
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24. |
Contreras, Manuel D.; Díaz-Madrigal, Santiago; Gumenyuk, Pavel. Loewner Theory in annulus II: Loewner chains. Analysis and Mathematical Physics 2011 ;Volum 1.(4) s. 351-385 NTNU
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2010
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25. |
Contreras, Manuel D.; Díaz-Madrigal, Santiago; Gumenyuk, Pavel. Geometry behind Chordal Loewner Chains. Complex Analysis and Operator Theory 2010 ;Volum 4.(3) s. 541-587 UiB
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26. |
Contreras, Manuel; Díaz-Madrigal, Santiago; Gumenyuk, Pavel. Loewner chains in the unit disk. Revista matemática iberoamericana 2010 ;Volum 26.(3) s. 975-1012 UiB
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2009
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27. |
Grong, Erlend; Gumenyuk, Pavel; Vasiliev, Alexander. Matching univalent functions and conformal welding. Annales Academiae Scientiarum Fennicae Mathematica 2009 ;Volum 34.(1) s. 303-314 UiB
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28. |
Gumenyuk, Pavel. Carathéodory Convergence of Immediate Basins of Attraction to a Siegel Disk. I: Analysis and Mathematical Physics. Birkhäuser Verlag 2009 ISBN 978-3-7643-9905-4. s. 167-186 UiB
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2003
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29. |
Gumenyuk, Pavel. A lower estimate for the distance of an attracting fixed point to the boundary of its basin via univalence radius. Computational methods in Function Theory 2003 ;Volum 3.(2) s. 413-424
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2002
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30. |
Gumenyuk, Pavel. The Fatou and Julia sets of multivalued analytic functions. Siberian mathematical journal 2002 ;Volum 43.(6) s. 1047-1054
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