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Uncertainty principles associated to non-degenerate quadratic forms

Author: Bruno Demange; Société mathématique de France.
Publisher: Paris : Société mathématique de France, ©2009.
Series: Mémoire (Société mathématique de France), nouv. sér., no 119.
Edition/Format:   Print book : EnglishView all editions and formats
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Document Type: Book
All Authors / Contributors: Bruno Demange; Société mathématique de France.
ISBN: 9782856292976 2856292976
OCLC Number: 695395853
Language Note: In English, with abstract in both English and French.
Description: 95 pages ; 25 cm.
Contents: Hardy's uncertainty principle and its generalizations. Hardy's uncertainty principle ; The Bargmann transform ; Hardy's Theorem on S' ; Morgan's uncertainty principle on S' ([set of real numbers]) ; Beurling's uncertainty principle ; One-directional conditions --
Further results. Hardy's uncertainty principle in the sub-critical case, dimension 1 ; Hardy's uncertainty principle in the sub-critical case, dimension d ; One-sided Hardy's uncertainty principle --
Critical and non critical pairs. Introduction and definitions ; Annihilating pairs when d [greater than or equal to] 2 ; Annihilating pairs for functions --
Critical pairs. Introduction ; Characterization of g (q, qʹ) ; Gaussian solutions revisited --
Lorentz quadratic form. The Bargmann transform of g (q, q) ; Vanishing elements of g (q, q) ; The supercritical case with Lorentz form ; Description of other spaces g (q, qʹ).
Series Title: Mémoire (Société mathématique de France), nouv. sér., no 119.
Responsibility: Bruno Demange.

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