Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Applications of the theory of subanalytic and definable sets to polynomial inequalities and polynomial approximation

2015/17/B/ST1/00614

Keywords:

semialgebraic set subanalytic set definable set o-minimal structure Markov's inequality polynomial inequality

Descriptors:

  • ST1_8: Analysis
  • ST1_19: Other related subjects

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet Jagielloński, Wydział Matematyki i Informatyki

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Rafał Pierzchała 

Number of co-investigators in the project: 1

Call: OPUS 9 - announced on 2015-03-16

Amount awarded: 89 960 PLN

Project start date (Y-m-d): 2016-03-01

Project end date (Y-m-d): 2021-02-28

Project duration:: 60 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Equipment purchased [PL]

  1. laptop (5 000 PLN)
  2. laptop (7 097 PLN)

Information in the final report

  • Publication in academic press/journals (3)
  1. Polynomial inequalities, o-minimality and Denjoy--Carleman classes
    Authors:
    Rafał Pierzchała
    Academic press:
    Advances in Mathematics (rok: 2022, tom: 407, strony: 61 stron), Wydawca: Elsevier, ScienceDirect
    Status:
    Published
    DOI:
    10.1016/j.aim.2022.108565 - link to the publication
  2. Selected open problems in polynomial approximation and potential theory
    Authors:
    M. Baran, L. Białas--Cież, R. Eggink, A. Kowalska, B. Nagy, R. Pierzchała
    Academic press:
    Dolomites Research Notes on Approximation (rok: 2017, tom: 10, strony: 161–168), Wydawca: Padova University Press
    Status:
    Published
    DOI:
    brak - link to the publication
  3. Geometry of holomorphic mappings and Hölder continuity of the pluricomplex Green function
    Authors:
    Rafał Pierzchała
    Academic press:
    Mathematische Annalen (rok: 2021, tom: 379, strony: 1363–1393), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00208-020-01963-0 - link to the publication

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