A simple Wilson orthonormal basis with exponential decay. (English) Zbl 0754.46016

Daubechies, Ingrid; Jaffard, Stéphane; Journé, Jean-Lin

SIAM J. Math. Anal. 22, No. 2, 554-572 (1991).

MSC:

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

Keywords:

phase space localization; frequency analysis; orthonormal bases for \(L^ 2\); Gabor scheme; Fourier transform; modulated Gaussian functions