Contents of Number 1
Volume 123 / 2019
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Personal reflections on Józef Siciak’s mathematical journey Annales Polonici Mathematici 123 (2019) , 1-7 MSC: Primary 01A70. DOI: 10.4064/ap4610-7-2018
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A characterization of analytic functions of several real variables Annales Polonici Mathematici 123 (2019) , 9-13 MSC: 32A05, 32A10. DOI: 10.4064/ap180119-26-3
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On the Guedj–Rashkovskii conjecture Annales Polonici Mathematici 123 (2019) , 15-20 MSC: Primary 32U25, 32W20; Secondary 32U15. DOI: 10.4064/ap180822-16-11
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On a characterization of $m$-subharmonic functions with weak singularities Annales Polonici Mathematici 123 (2019) , 21-29 MSC: Primary 32U05, 31C45; Secondary 32W20, 32U15. DOI: 10.4064/ap180628-10-9
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Extendability and domains of holomorphy in infinite-dimensional spaces Annales Polonici Mathematici 123 (2019) , 31-41 MSC: Primary 46G20; Secondary 58B12. DOI: 10.4064/ap180821-5-12
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On the behaviour of constants in some polynomial inequalities Annales Polonici Mathematici 123 (2019) , 43-60 MSC: 32U20, 32U35, 41A17. DOI: 10.4064/ap180803-23-4
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Siciak’s homogeneous extremal functions, holomorphic extension and a generalization of Helgason’s support theorem Annales Polonici Mathematici 123 (2019) , 61-70 MSC: Primary 32A15; Secondary 30D15, 32U35. DOI: 10.4064/ap190128-22-7
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Statistical mechanics of interpolation nodes, pluripotential theory and complex geometry Annales Polonici Mathematici 123 (2019) , 71-153 MSC: 32U35, 32W20, 60G55, 60F10. DOI: 10.4064/ap180925-4-7
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Interpolation characteristics of maximal polynomial approximants to rational functions Annales Polonici Mathematici 123 (2019) , 155-169 MSC: 30E10, 41A05, 41A10. DOI: 10.4064/ap180803-4-4
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The extremal function for the complex ball for generalized notions of degree and multivariate polynomial approximation Annales Polonici Mathematici 123 (2019) , 171-195 MSC: Primary 32U15, 41A10. DOI: 10.4064/ap180322-19-11
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Sharpening a theorem of Forelli Annales Polonici Mathematici 123 (2019) , 197-201 MSC: 32A10, 32A05. DOI: 10.4064/ap180616-3-9
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Measures of finite pluricomplex energy Annales Polonici Mathematici 123 (2019) , 203-213 MSC: Primary 32U20, 32W20; Secondary 32U05. DOI: 10.4064/ap180811-7-2
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Toric pluripotential theory Annales Polonici Mathematici 123 (2019) , 215-242 MSC: Primary 32W20; Secondary 32U05, 32U20, 32U25, 14M25. DOI: 10.4064/ap180409-3-7
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Periods of rigid double octic Calabi–Yau threefolds Annales Polonici Mathematici 123 (2019) , 243-258 MSC: Primary 14J32; Secondary 14G10, 11F23. DOI: 10.4064/ap180608-23-10
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Global mixed Łojasiewicz inequalities and asymptotic critical values Annales Polonici Mathematici 123 (2019) , 259-266 MSC: Primary 14P10; Secondary 14D06, 58K05, 32S20. DOI: 10.4064/ap180920-27-3
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Approximation by random complex polynomials and random rational functions Annales Polonici Mathematici 123 (2019) , 267-294 MSC: Primary 30E10, 32E20; Secondary 30H50, 28A20. DOI: 10.4064/ap180912-20-2
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The $\partial $-complex on the Segal–Bargmann space Annales Polonici Mathematici 123 (2019) , 295-317 MSC: Primary 30H20, 32A36, 32W50; Secondary 47B38. DOI: 10.4064/ap180715-2-11
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Generalized convexity: The case of lineally convex Hartogs domains Annales Polonici Mathematici 123 (2019) , 319-344 MSC: Primary 52A01, 32E, 32F, 32A07; Secondary 32A12. DOI: 10.4064/ap180930-3-4
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On deviations and spreads of entire curves Annales Polonici Mathematici 123 (2019) , 345-368 MSC: Primary 32H30, 30D35; Secondary 32A22, 30D30. DOI: 10.4064/ap180723-15-2
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Non-degenerate jumps of Milnor numbers of quasihomogeneous singularities Annales Polonici Mathematici 123 (2019) , 369-386 MSC: Primary 32S05; Secondary 32S30. DOI: 10.4064/ap180914-15-4
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Formal versus analytic CR mappings Annales Polonici Mathematici 123 (2019) , 387-422 MSC: 32V20, 32V25, 32V35, 32V40, 32H02, 32H40. DOI: 10.4064/ap180720-16-11
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Isometries in spaces of Kähler potentials Annales Polonici Mathematici 123 (2019) , 423-458 MSC: 32Q15, 53C55. DOI: 10.4064/ap180523-6-7
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Application of $L^2$ methods to the Levi problem on complex manifolds Annales Polonici Mathematici 123 (2019) , 459-466 MSC: Primary 32A36; Secondary 32T27. DOI: 10.4064/ap171228-3-10
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A generalization of the converse of Brolin’s theorem Annales Polonici Mathematici 123 (2019) , 467-472 MSC: Primary 37F10; Secondary 31A15. DOI: 10.4064/ap180819-23-2
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On the Weierstrass Preparation Theorem Annales Polonici Mathematici 123 (2019) , 473-479 MSC: 32A60, 32U05, 32U15. DOI: 10.4064/ap181116-18-5
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Monge–Ampère measures of plurisubharmonic exhaustions associated to the Lie norm of holomorphic maps Annales Polonici Mathematici 123 (2019) , 481-504 MSC: Primary 32U05; Secondary 32Q28, 32U10, 32W20. DOI: 10.4064/ap181001-1-4
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An example concerning Sadullaev’s boundary relative extremal functions Annales Polonici Mathematici 123 (2019) , 505-508 MSC: 32U05, 32U20. DOI: 10.4064/ap180604-19-6