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Pregled bibliografske jedinice broj: 1053865

Convergence of lacunary SU(1, 1)-valued trigonometric products


Rupčić, Jelena
Convergence of lacunary SU(1, 1)-valued trigonometric products // Communications on pure and applied analysis, 19 (2020), 3; 1275-1289 doi:10.3934/cpaa.2020062 (recenziran, članak, znanstveni)


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Naslov
Convergence of lacunary SU(1, 1)-valued trigonometric products
(Convergence of lacunary SU(1,1)-valued trigonometric products)

Autori
Rupčić, Jelena

Izvornik
Communications on pure and applied analysis (1534-0392) 19 (2020), 3; 1275-1289

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Nonlinear Fourier analysis ; matrix product ; lacunary trigonometric series ; convergence in mean ; convergence almost everywhere

Sažetak
This note attempts to study lacunary trigonometric products with values in the matrix group SU(1, 1) in analogy with lacunary trigonometric series. The central questions are the characterization of their convergence in an appropriately defined Lp-metric and the characterization of their convergence almost everywhere. These can be interpreted as nonlinear analogues of the classical results by Zygmund and Kolmogorov.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
HRZZ-UIP-2017-05-4129 - Multilinearna i nelinearna harmonijska analiza i primjene (MUNHANAP) (Kovač, Vjekoslav, HRZZ ) ( CroRIS)

Ustanove:
Fakultet prometnih znanosti, Zagreb

Profili:

Avatar Url Jelena Rupčić (autor)

Poveznice na cjeloviti tekst rada:

doi www.aimsciences.org arxiv.org

Citiraj ovu publikaciju:

Rupčić, Jelena
Convergence of lacunary SU(1, 1)-valued trigonometric products // Communications on pure and applied analysis, 19 (2020), 3; 1275-1289 doi:10.3934/cpaa.2020062 (recenziran, članak, znanstveni)
Rupčić, J. (2020) Convergence of lacunary SU(1, 1)-valued trigonometric products. Communications on pure and applied analysis, 19 (3), 1275-1289 doi:10.3934/cpaa.2020062.
@article{article, author = {Rup\v{c}i\'{c}, Jelena}, year = {2020}, pages = {1275-1289}, DOI = {10.3934/cpaa.2020062}, keywords = {Nonlinear Fourier analysis, matrix product, lacunary trigonometric series, convergence in mean, convergence almost everywhere}, journal = {Communications on pure and applied analysis}, doi = {10.3934/cpaa.2020062}, volume = {19}, number = {3}, issn = {1534-0392}, title = {Convergence of lacunary SU(1, 1)-valued trigonometric products}, keyword = {Nonlinear Fourier analysis, matrix product, lacunary trigonometric series, convergence in mean, convergence almost everywhere} }
@article{article, author = {Rup\v{c}i\'{c}, Jelena}, year = {2020}, pages = {1275-1289}, DOI = {10.3934/cpaa.2020062}, keywords = {Nonlinear Fourier analysis, matrix product, lacunary trigonometric series, convergence in mean, convergence almost everywhere}, journal = {Communications on pure and applied analysis}, doi = {10.3934/cpaa.2020062}, volume = {19}, number = {3}, issn = {1534-0392}, title = {Convergence of lacunary SU(1,1)-valued trigonometric products}, keyword = {Nonlinear Fourier analysis, matrix product, lacunary trigonometric series, convergence in mean, convergence almost everywhere} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


Citati:





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