Hermite functions and uncertainty principles for the Fourier and the windowed Fourier trans\-forms.
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Publication:1413717
DOI10.4171/RMI/337zbMath1037.42010arXivmath/0102111WikidataQ56067658 ScholiaQ56067658MaRDI QIDQ1413717
Aline Bonami, Philippe Jaming, Bruno Demange
Publication date: 17 November 2003
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0102111
uncertainty principlewindowed Fourier transformGabor transformambiguity functionshort-time Fourier transformWigner transformspectrogram
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General harmonic expansions, frames (42C15)
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