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

2015/17/B/ST1/00614

Keywords

Descriptors

  • ST1_8: Analiza
  • ST1_19: Inne zagadnienia pokrewne

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

Voivodeship: 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
2016-03-01
Project end date
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. Cost: 7 097 PLN
  2. laptop. Cost: 5 000 PLN

Information in the final report

Publication in academic press/journals (3)

  1. Geometry of holomorphic mappings and Hölder continuity of the pluricomplex Green function

    Authors:
    Rafał Pierzchała
    Academic press:
    Mathematische Annalen (year: 2021, volume: 379, pages: 1363–1393), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00208-020-01963-0 – link to the publication
  2. Polynomial inequalities, o-minimality and Denjoy--Carleman classes

    Authors:
    Rafał Pierzchała
    Academic press:
    Advances in Mathematics (year: 2022, volume: 407, pages: 61 stron), Publisher: Elsevier, ScienceDirect
    Status:
    Published
    DOI:
    10.1016/j.aim.2022.108565 – link to the publication
  3. 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 (year: 2017, volume: 10, pages: 161–168), Publisher: Padova University Press
    Status:
    Published

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