Oleksandr Rashkovskiy

Professor

Oleksandr Rashkovskiy

Kontakt

Telefon: 5183 1833

E-post: alexander.rashkovskii@uis.no

Rom: KE E-542

Organisasjonsenhet

Det teknisk- naturvitenskapelige fakultet

Institutt for matematikk og fysikk

Kort om meg

2001-: professor i matematikk, Universitetet i Stavanger

1980-2001: forsker, Institute for Low Temperature Physics, Kharkov – Ukraine

 

Dette forsker jeg på

Forsker på kompleks analyse i flere variable, med hovedfokus på pluripotensialteori (plurisubharmonske funksjoner og komplekse Monge-Ampère operator)

Navn på publikasjonene: Alexander Rashkovskii

ORCID ID: 0000-0002-8243-531X

Nøkkel publikasjoner:

  • (med P. Åhag, R. Czyz og C. Lu) Geodesic connectivity and rooftop envelopes in the
    Cegrell classes, Math. Ann. 391 (2025), 3333–3361.
  • Rooftop envelopes and residual plurisubharmonic functions, Ann. Polon. Math. 128
    (2022), no. 2, 159–191.
  • Local geodesics for plurisubharmonic functions, Math. Z. 287 (2017), no. 1, 73–83.
  • Relative types and extremal problems for plurisubharmonic functions, Int. Math. Res.
    Not., 2006, Art. ID 76283, 26 pp.
  • (med R. Sigurdsson) Green functions with singularities along complex spaces, Internat. J.
    Math. 16 (2005), no. 4, 333–355.

 

 

 

 

Akademisk bakgrunn

Ph.D.: 1989, Institute for Applied Mathematics and Mechanics, Donetsk – Ukraine

MSci.: 1980, Department of Mathematics and Mechanics – Kharkov State University – Ukraine

 

Publikasjoner

Vitenskapelige publikasjoner

Per Åhag; Rafał Czyż; Chinh H. Lu; Alexander Rashkovskii (2024) Kiselman minimum principle and rooftop envelopes in complex Hessian equations. I: Mathematische Zeitschrift. ISSN 0025-5874. Volum 308. DOI: 10.1007/s00209-024-03624-3

Per Åhag; Rafał Czyż; Chinh H. Lu; Alexander Rashkovskii (2024) Geodesic connectivity and rooftop envelopes in the Cegrell classes. I: Mathematische Annalen. ISSN 0025-5831. DOI: 10.1007/s00208-024-03003-7

Alexander Rashkovskii (2023) Plurisubharmonic Interpolation and Plurisubharmonic Geodesics. I: Axioms. Online ISSN 2075-1680. Volum 12. DOI: 10.3390/axioms12070671

Alexander Rashkovskii; Alexander Ulanovskii; Ilia Zlotnikov (2023) On 2-dimensional mobile sampling. I: Applied and Computational Harmonic Analysis. ISSN 1063-5203. Volum 62. s.1-23. DOI: 10.1016/j.acha.2022.08.001

Alexander Rashkovskii (2022) Rooftop envelopes and residual plurisubharmonic functions. I: Annales Polonici Mathematici. ISSN 0066-2216. Volum 128. s.159-191. DOI: 10.4064/ap210624-12-11

Dano Kim; Alexander Rashkovskii (2022) Asymptotic multiplicities and Monge–Ampère masses (with an appendix by Sébastien Boucksom). I: Mathematische Annalen. ISSN 0025-5831. Volum 385. s.1947-1972. DOI: 10.1007/s00208-022-02394-9

Alexander Rashkovskii (2021) Interpolation of weighted extremal functions. I: Arnold Mathematical Journal. ISSN 2199-6792. Volum 7. s.407-417. DOI: 10.1007/s40598-021-00175-x

Dano Kim; Alexander Rashkovskii (2020) Higher Lelong Numbers and Convex Geometry. I: Journal of Geometric Analysis. ISSN 1050-6926. DOI: 10.1007/s12220-020-00362-w

Dario Cordero-Erausquin; Alexander Rashkovskii (2019) Plurisubharmonic geodesics and interpolating sets. I: Archiv der Mathematik. ISSN 0003-889X. Volum 113. s.63-72. DOI: 10.1007/s00013-018-01297-z

Alexander Rashkovskii (2019) A remark on symbolic powers. I: Studia Mathematica. ISSN 0039-3223. Volum 249. s.111-116. DOI: 10.4064/sm180502-12-6

Alexander Rashkovskii (2017) A log canonical threshold test. I: Christer Kiselman; Mats Andersson; Jan Boman; Pavel Kurasov; Ragnar Sigurdsson, Analysis meets geometry : the Mikael Passare memorial volume. Birkhäuser Verlag. ISBN 9783319524696. s.361-368. DOI: 10.1007/978-3-319-52471-9_22

Alexander Rashkovskii (2017) Copolar convexity. I: Annales Polonici Mathematici. ISSN 0066-2216. Volum 120. s.83-95. DOI: 10.4064/ap170217-4-9

Alexander Rashkovskii (2016) Some problems on plurisubharmonic singularities. I: Matematychni Studii. ISSN 1027-4634. Volum 45. s.104-108. DOI: 10.15330/ms.45.1.104-108

Alexander Rashkovskii (2016) Local geodesics for plurisubharmonic functions. I: Mathematische Zeitschrift. ISSN 0025-5874. Volum 287. s.73-83. DOI: 10.1007/s00209-016-1817-4

Alexander Rashkovskii (2015) Extremal cases for the log canonical threshold. I: Comptes rendus. Mathematique. ISSN 1631-073X. Volum 353. s.21-24. DOI: 10.1016/j.crma.2014.11.002

Alexander Rashkovskii; Pascal Thomas (2014) Powers of ideals and convergence of Green functions with colliding poles. I: International Mathematics Research Notices (IMRN). ISSN 1073-7928. Volum 2014. s.1253-1272. DOI: 10.1093/imrn/rns251

Alexander Rashkovskii (2013) Analytic approximations of plurisubharmonic singularities. I: Mathematische Zeitschrift. ISSN 0025-5874. Volum 275. s.1217-1238. DOI: 10.1007/s00209-013-1179-0

Alexander Rashkovskii (2013) Multi-circled Singularities, Lelong Numbers, and Integrability Index. I: Journal of Geometric Analysis. ISSN 1050-6926. Volum 23. s.1976-1992. DOI: 10.1007/s12220-012-9314-4

Jon I. Magnusson; Alexander Rashkovskii; Ragnar Sigurdsson; Pascal Thomas (2012) LIMITS OF MULTIPOLE PLURICOMPLEX GREEN FUNCTIONS. I: International Journal of Mathematics. ISSN 0129-167X. Volum 23. DOI: 10.1142/S0129167X12500656

Alexander Rashkovskii (2012) Extreme plurisubharmonic singularities. I: Annales Polonici Mathematici. ISSN 0066-2216. Volum 106. s.255-263. DOI: 10.4064/ap106-0-20

Alexander Rashkovskii; Vyacheslav Zahariuta (2011) Special polyhedra for Reinhardt domains. I: Comptes rendus. Mathematique. ISSN 1631-073X. Volum 349. s.965-968. DOI: 10.1016/j.crma.2011.08.009

Alexander Rashkovskii (2010) An extremal problem for generalized Lelong numbers. I: Mathematische Zeitschrift. ISSN 0025-5874. Volum 266. s.345-362. DOI: 10.1007/s00209-009-0572-1

Alexander Rashkovskii (2009) A remark on amoebas in higher codimensions. I: Alexander Vasiliev; Björn Gustafsson, Analysis and Mathematical Physics. Birkhäuser Verlag. ISBN 9783764399054. s.465-471.

Alexander Rashkovskii (2009) Tropical analysis of plurisubharmonic singularities. I: Contemporary Mathematics. American Mathematical Society (AMS). ISBN 9780821847824. s.305-315.

Alexander Rashkovskii (2009) Analyticity and propagation of plurisubharmonic singularities. I: Contemporary Mathematics - American Mathematical Society. ISSN 0271-4132. Volum 481. s.137-143.

Alexander Rashkovskii (2009) Classical and new loglog-theorems. I: Expositiones mathematicae. ISSN 0723-0869. Volum 27. s.271-287. DOI: 10.1016/j.exmath.2009.02.003

Alexander Rashkovskii (2006) Relative types and extremal problems for plurisubharmonic functions. I: International Mathematics Research Notices (IMRN). ISSN 1073-7928. Volum 2006. s.7628326-7628326.

Ragnar Sigurdsson; Alexander Rashkovskii (2005) Green functions with singularities along complex spaces. I: International Journal of Mathematics. ISSN 0129-167X. Volum 16. s.333-355.

Alexander Rashkovskii; Ragnar Sigurdsson (2005) Green functions with analytic singularities. I: Comptes rendus. Mathematique. ISSN 1631-073X. Volum 340. s.479-482.

Alexander Rashkovskii (2003) Total masses of mixed Monge-Ampère currents. I: ?. Volum 51. s.169-186.

Aydin Aytuna; Alexander Rashkovskii; Vyacheslav Zahariuta (2002) Widths asymptotics for a pair of Reinhardt domains. I: Annales Polonici Mathematici. ISSN 0066-2216. Volum 78. s.31-38.

Alexander Rashkovskii (2001) Indicators for plurisubharmonic functions of logarithmic growth. I: ?. Volum 50.

Alexander Rashkovskii; Sergey Favorov (2001) Holomorphic almost periodic functions. I: ?. Volum 65. s.217-235.

Alexander Rashkovskii (2001) Lelong numbers with respect to regular plurisubharmonic weights. I: ?. Volum 39. s.320-332.

Alexander Rashkovskii (2001) Zeros of holomorphic almost periodic mappings with independent components. I: Complex Variables, Theory & Application. ISSN 0278-1077. Volum 44.

Alexander Rashkovskii; Sergey Favorov; Lev Ronkin (2001) Almost periodic currents, divisors and holomorphic chains. I: ?. Volum 15. s.67-88.

Formidling

Alexander Rashkovskii (2021) Erratum: A remark on symbolic powers (Studia Mathematica (2019) 249 (111-116)). I: Studia Mathematica. ISSN 0039-3223. Volum 258. s.239-239. DOI: 10.4064/SM210201-9-2

Alexander Rashkovskii (2019) Geodesic interpolation of weighted extremal functions. Geometry, Differential Equations and Analysis; 2019-06-17 - 2019-06-21.

Alexander Rashkovskii (2019) Interpolation of weighted extremal functions. Frontiers in Several Complex Variables & Functional Analysis; 2019-05-11 - 2019-05-12.

Alexander Rashkovskii (2018) Plurisubharmonic geodesics, holomorphic hulls and interpolation. VI International Conference 'Analysis and Mathematical Physics'; 2018-06-18 - 2018-06-22.

Alexander Rashkovskii (2017) Local geodesics for plurisubharmonic functions. nordan 2017; 2017-05-19 - 2017-05-21.

Alexander Rashkovskii (2017) Pluricomplex Green functions. Contemporary Aspects of Analysis; 2017-05-01 - 2017-05-05.

Alexander Rashkovskii (2016) Local geodesics of plurisubharmonic functions. IV International Conference ANALYSIS AND MATHEMATICAL PHYSICS; 2016-06-13 - 2016-06-17.

Alexander Rashkovskii (2016) Analytic and plurisubharmonic singularities. 27th Nordic Congress of Mathematicians; 2016-03-16 - 2016-03-20.

Alexander Rashkovskii (2016) Local geodesics of plurisubharmonic functions. Midwestern Workshop on Asymptotic Analysis; 2016-10-07 - 2016-10-09.

Alexander Rashkovskii (2014) Complex Monge-Ampere operators. Invited lectures in complex analysis; 2014-10-17 - 2014-10-22.

Alexander Rashkovskii (2013) Two classes of extremal plurisubharmonic singularities. Nettverkmøte; 2013-05-10.

Alexander Rashkovskii (2013) Pluricomplex Green functions with colliding poles. Complex Analysis and Related Topics; 2013-09-23 - 2013-09-28.

Alexander Rashkovskii (2013) Pluricomplex Green functions with colliding poles. Analysis and Mathematical Physics; 2013-06-24 - 2013-06-28.

Alexander Rashkovskii (2013) Extreme plurisubharmonic singularities. Several Complex Variables; 2013-07-08.

Alexander Rashkovskii (2013) Åhag, Per; Czyż, Rafał; Persson, Leif. Radially symmetric plurisubharmonic functions. I: Mathematical Reviews. ISSN 0025-5629.

Alexander Rashkovskii (2013) Lempert, László; Vivas, Liz. Geodesics in the space of Kähler metrics. I: Zentralblatt MATH. ISSN 1436-3356.

Alexander Rashkovskii (2013) Baran, Mirosław; Białas-Cież, Leokadia; Milówka, Beata. On the best exponent in Markov inequality. I: Mathematical Reviews. ISSN 0025-5629.

Alexander Rashkovskii (2013) Hamada, H.; Honda, T.; Kohr, G. Trace-order and a distortion theorem for linearly invariant families on the unit ball of a finite dimensional JB * -triple. I: Zentralblatt MATH. ISSN 1436-3356.

Alexander Rashkovskii (2013) Sadullaev, A.S.; Abdullaev, B.I. Capacities and Hessians in the class of m-subharmonic functions. I: Zentralblatt MATH. ISSN 1436-3356.

Alexander Rashkovskii (2013) Mok, Ngaiming. Extension of germs of holomorphic isometries up to normalizing constants with respect to the Bergman metric. I: Zentralblatt MATH. ISSN 1436-3356.

Alexander Rashkovskii (2013) Brainbridge, David The extremal plurisubharmonic function for linear growth. I: Zentralblatt MATH. ISSN 1436-3356.

Alexander Rashkovskii (2013) Bloom, T.; Bos, L.; Levenberg, N. The transfinite diameter of the real ball and simplex. I: Zentralblatt MATH. ISSN 1436-3356.

Alexander Rashkovskii (2013) Silipo, James. The Ronkin number of an exponential sum. I: Mathematical Reviews. ISSN 0025-5629.

Alexander Rashkovskii (2013) Coman, Dan; Guedj, Vincent; Zeriahi, Ahmed. Extension of plurisubharmonic functions with growth control. I: Mathematical Reviews. ISSN 0025-5629.

Alexander Rashkovskii (2011) Asymptotic behavior for a class of modified α-potentials in a half space. I: Mathematical Reviews. ISSN 0025-5629. Volum 2011g.

Alexander Rashkovskii (2011) Convergence of multipole Green functions. Complex Analysis and Applications; 2011-08-15 - 2011-08-18.

Alexander Rashkovskii (2011) Plurisubharmonic singularities. Several Complex Variables; 2011-07-04 - 2011-07-08.

Alexander Rashkovskii (2011) On the characterization of harmonic and subharmonic functions via mean-value properties. I: Mathematical Reviews. ISSN 0025-5629. Volum 2011c.

Alexander Rashkovskii (2011) On semisubmedian functions and weak plurisubharmonicity. I: Mathematical Reviews. ISSN 0025-5629. Volum 2011i.

Alexander Rashkovskii (2011) On some uniqueness theorems for subharmonic functions. I: Mathematical Reviews. ISSN 0025-5629. Volum 2011i.

Alexander Rashkovskii (2011) Classical and new loglog-theorems. Holomorphic Day; 2011-04-15.

Alexander Rashkovskii (2011) Limits of multipole Green functions. Nettverksmøte i Flere komplekse variable; 2011-04-29.

Alexander Rashkovskii (2010) Integral representation of harmonic function in a half-plane. I: Mathematical Reviews. ISSN 0025-5629.

Alexander Rashkovskii (2010) A technique of Beurling for lower order. I: Mathematical Reviews. ISSN 0025-5629.

Alexander Rashkovskii (2010) The Sobolev-Il?in theorem for the Riesz B-potential. I: Mathematical Reviews. ISSN 0025-5629.

Alexander Rashkovskii (2010) Spherical means of subharmonic functions. I: Mathematical Reviews. ISSN 0025-5629.

Alexander Rashkovskii (2010) Cauchy-Poisson transform and polynomial inequalities. I: Mathematical Reviews. ISSN 0025-5629.

Alexander Rashkovskii (2010) Integral representations and continuous projectors in some spaces of analytic and pluriharmonic functions. I: Mathematical Reviews. ISSN 0025-5629.

Alexander Rashkovskii (2010) Symmetrization and harmonic measure. I: Mathematical Reviews. ISSN 0025-5629.

Alexander Rashkovskii (2010) Asymptotically analytic singularities. Several Complex Variables Network; 2010-04-04.

Alexander Rashkovskii (2010) Approximation of plurisubharmonic singularities. utenTitteltekst; 2010-10-26 - 2010-10-28.

Alexander Rashkovskii (2010) Hilbert lemniscates for Reinhardt domains. utenTitteltekst; 2010-11-08.

Alexander Rashkovskii (2007) Tropical analysis of plurisubharmonic singularities. utenTitteltekst; 2007-10-30.

Alexander Rashkovskii (2007) Plurisubharmonic functions with analytic singularities. Harmonic and Complex Analysis and Applications; 2007-05-07 - 2007-05-12.

Alexander Rashkovskii (2007) Tropical analysis of plurisubharmonic singularities. utenTitteltekst; 2007-09-28.

Alexander Rashkovskii (2007) Propagation of plurisubharmonic singularities. Functional Analysis and Complex Analysis; 2007-09-17 - 2007-09-21.

Alexander Rashkovskii (2006) Singularities of plurisubharmonic functions. International conference "Entire and subharmonic functions and related topics"; 2006-08-14 - 2006-08-17.

Alexander Rashkovskii (2006) Relative types of plurisubharmonic functions. International summer school in several complex variables; 2006-06-19 - 2006-06-23.

Alexander Rashkovskii (2006) Relative types of plurisubharmonic singularities. utenTitteltekst; 2006-06-08.

Alexander Rashkovskii (2004) Green functions with singularities along complex spaces. Konferanse NORDAN 2004; 2004-05-14 - 2004-05-16.

Alexander Rashkovskii (2004) Pluricomplex Green functions with analytic singularities. Konferanse "Real Analytic and Complex Analytic Methods in Functional Analysis"; 2004-09-20 - 2004-09-24.

Alexander Rashkovskii (2004) Stratification in ideal sheaves. utenTitteltekst; 2004-05-17 - 2004-05-18.

Alexander Rashkovskii (2002) Weighted Lelong numbers and degrees. utenTitteltekst; 2002-05-23.

Alexander Rashkovskii (2002) Newton polyhedra and Monge-Ampere measures. Colloque international d'analyse complex; 2002-05-17 - 2002-05-19.

Alexander Rashkovskii (2002) Newton polyhedra and Monge-Ampere operators. The 6th Nordic Complex Analysis Meeting NORDAN 2002; 2002-03-08 - 2002-03-10.

Alexander Rashkovskii (2002) Green functions with logarithmic singularities along complex spaces. The sixth international workshop on pluripotential theory; 2002-10-04 - 2002-10-06.

Alexander Rashkovskii (2001) Asymptotically analytic singularities. NORDAN 2011; 2001-05-06 - 2011-05-08.

Kilde: Nasjonalt vitenarkiv