✦ LIBER ✦

Secants of Lagrangian Grassmannians

✍ Scribed by Ada Boralevi; Jarosław Buczyński

Book ID: 106299549
Publisher: Springer
Year: 2010
Tongue: English
Weight: 214 KB
Volume: 190
Category: Article
ISSN: 0373-3114
DOI: 10.1007/s10231-010-0171-0

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We show that (g 2 , a, b) is a Gabor frame when a > 0, b > 0, ab < 1, and g 2 (t) = ( 1 2 πγ ) 1/2 (cosh πγ t) -1 is a hyperbolic secant with scaling parameter γ > 0. This is accomplished by expressing the Zak transform of g 2 in terms of the Zak transform of the Gaussian g 1 (t) = (2γ ) 1/4 exp(-πγ