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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Harmonic analysis in the context of orthogonal expansions

2012/05/N/ST1/02746

Keywords:

orthogonal expansions Jacobi expansions Bessel operator Hankel transform Dunkl Laplacian space of homogeneous type Calderón-Zygmund operator Riesz transform maximal operator square function spectral multiplier Lusin area integral

Descriptors:

  • ST1_8: Analysis
  • ST1_9: Operator algebras and functional analysis

Panel:

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

Host institution :

Instytut Matematyczny PAN

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Tomasz Szarek 

Number of co-investigators in the project: 2

Call: PRELUDIUM 3 - announced on 2012-03-15

Amount awarded: 87 720 PLN

Project start date (Y-m-d): 2013-03-12

Project end date (Y-m-d): 2016-03-11

Project duration:: 36 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. laptop (4 000 PLN)

Information in the final report

  • Publication in academic press/journals (5)
  1. Riesz-Jacobi transforms as principal value integrals
    Authors:
    Alejandro J. Castro, Adam Nowak, Tomasz Z. Szarek
    Academic press:
    Journal of Fourier Analysis and Applications (rok: 2016, tom: 22, strony: 493-541), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00041-015-9430-1 - link to the publication
  2. Analysis related to all admissible type parameters in the Jacobi setting
    Authors:
    Adam Nowak, Peter Sjögren, Tomasz Z. Szarek
    Academic press:
    Constructive Approximation (rok: 2015, tom: 41, strony: 185-218), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00365-015-9275-5 - link to the publication
  3. On fundamental harmonic analysis operators in certain Dunkl and Bessel settings
    Authors:
    Alejandro J. Castro, Tomasz Z. Szarek
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2014, tom: 412, strony: 943-963), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2013.11.020 - link to the publication
  4. On harmonic analysis operators in Laguerre-Dunkl and Laguerre-symmetrized settings
    Authors:
    Adam Nowak, Krzysztof Stempak, Tomasz Z. Szarek
    Academic press:
    SIGMA Symmetry Integrability Geom. Methods Appl. (rok: 2016, tom: 12, strony: 14246), Wydawca: -
    Status:
    Published
    DOI:
    10.3842/SIGMA.2016.096 - link to the publication
  5. Lusin area integrals related to Jacobi expansions
    Authors:
    Tomasz Z. Szarek
    Academic press:
    - (), Wydawca: -
    Status:
    Submitted
    DOI:
    - - link to the publication

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