A Simple Wilson Orthonormal Basis with Exponential Decay

DOI10.1137/0522035zbMath0754.46016OpenAlexW1993915146WikidataQ101962757 ScholiaQ101962757MaRDI QIDQ3971177

Ingrid Daubechies, Stéphane Jaffard, Jean-Lin Journé

Publication date: 25 June 1992

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/01ddca464ebc20010886ef0a642c2c0a91758750

zbMATH Keywords

Fourier transform frequency analysis phase space localization Gabor scheme modulated Gaussian functions orthonormal bases for $L^ 2$

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Application of orthogonal and other special functions (94A11) Other transformations of harmonic type (42C20)

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