1,720,978 research outputs found
Une base orthonormale de dont les éléments sont bien localisés dans l'espace de phase et leurs supports adaptés à toute partition symétrique de l'espace des fréquences. (French) [An orthonormal basis of whose elements have good phase-space localization and supports adapted to any symmetric partition of frequency space]
Remarks on the Hilbert transform and on some families of multiplier operators related to it
Wavelets: a survey of the theory and numerical applications. Navier-Stokes equations: theory and numerical methods (Varenna, 1997)
Dimostrazioni "elementari" e distribuzione dei numeri primi. ["Elementary" proofs and distribution of primes. (Italian)]
Local Fourier Bases and Smooth Projections. Applications, connections with wavelet theory, open problems.
Sharp norm inequalities for the truncated Hilbert transform.
We split the classical Hilbert transform into the sum of two convolution integrals, one supported away from the origin and another one supported near the origin. We prove that the exact norms of the outer truncated transform on L^p, for p<1<infinity, coincide wiht the corresponding norms of the full Hilbert transform. We then prove that the norms of the inner transform are strictly bigger and related to the Gibbs phenomenon
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