Pregled bibliografske jedinice broj: 116272
Application of Carleson's Theorem to Wavelet Inversion
Application of Carleson's Theorem to Wavelet Inversion // Control and Cybernetics, 23 (1994), 4; 761 - 771 (međunarodna recenzija, članak, znanstveni)
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Naslov
Application of Carleson's Theorem to Wavelet Inversion
Autori
Rao, Murali ; Šikić, Hrvoje ; Song, Renming
Izvornik
Control and Cybernetics (0324-8569) 23
(1994), 4;
761 - 771
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
wavelets; a.e. convergence
Sažetak
In this paper we prove, using the Carleson-Hunt theorem on the pointwise convergence of Fourier series, that the wavelet inversion formula is valid pointwise for all L(2)-functions, and also without restrictions on wavelets. Moreover, we formulate and prove the same result for all L(p)-functions, 1 < p, and p finite.
Izvorni jezik
Engleski
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- SCI-EXP, SSCI i/ili A&HCI
Uključenost u ostale bibliografske baze podataka::
- Mathematical Reviews
- Zentralblatt MATH
