Wavelet bases in $L^{p}(ℝ)$

• Autorzy: Gustaf Gripenberg
• Języki publikacji: EN

Abstrakty

EN

It is shown that an orthonormal wavelet basis for $L^2(ℝ)$ associated with a multiresolution is an unconditional basis for $L^p(ℝ)$, 1 < p < ∞, provided the father wavelet is bounded and decays sufficiently rapidly at infinity.

Słowa kluczowe

EN

basis; $L^p$; multiresolution; unconditional; wavelet

Kategorie tematyczne

• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 42C15: General harmonic expansions, frames
• 46B15: Summability and bases

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1993
• Tom: 106
• Numer: 2
• Strony: 175-187

Daty

wydano

1993

otrzymano

1992-08-31

poprawiono

1998-01-18

Twórcy

autor

Gustaf Gripenberg

• Department of Mathematics, University of Helsinki, P.O. Box 4, Regeringsgatan 15, 00014 University of Helsinki, Finland

Bibliografia

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