Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

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Continuous and discrete operators in spectral theory and harmonic analysis

2023/49/B/ST1/04303

Keywords:

spectral theory harmonic analysis non-normal operator Lévy operator Toeplitz operator Littlewood–Paley theory singular integral

Descriptors:

  • ST1_08:
  • ST1_09:

Panel:

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

Host institution :

Politechnika Wrocławska

woj. dolnośląskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Mateusz Stefan Kwaśnicki 

Number of co-investigators in the project: 4

Call: OPUS 25 - announced on 2023-03-16

Amount awarded: 648 000 PLN

Project start date (Y-m-d): 2024-10-01

Project end date (Y-m-d): 2028-09-30

Project duration:: 48 months (the same as in the proposal)

Project status: Pending project

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.

Information in the final report

  • Publication in academic press/journals (3)
  1. The nonlocal Harnack inequality for antisymmetric functions: an approach via Bochner's relation and harmonic analysis
    Authors:
    Serena Dipierro, Mateusz Kwaśnicki, Jack Thompson, Enrico Valdinoci
    Academic press:
    Communications in Partial Differential Equations (rok: 2025, tom: 50, strony: 1074-1098), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/03605302.2025.2527051 - link to the publication
  2. Poisson kernels on the half-plane are bell-shaped
    Authors:
    Mateusz Kwaśnicki
    Academic press:
    Bulletin of the London Mathematical Society (rok: 2026, tom: 58, strony: e70303: 1-21), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1112/blms.70303 - link to the publication
  3. First passage locations for two-dimensional lattice random walks and the bell-shape
    Authors:
    Jacek Wszoła
    Academic press:
    Electronic Journal of Probability (rok: 2026, tom: 31, strony: 44: 1-28), Wydawca: Institute of Mathematical Statistics
    Status:
    Published
    DOI:
    10.1214/26-EJP1498 - link to the publication

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