Pregled bibliografske jedinice broj: 1053865
Convergence of lacunary SU(1, 1)-valued trigonometric products
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:
Jelena Rupčić
(autor)
Citiraj ovu publikaciju:
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