A remark on the uncertainty principle for Hilbertian basis

Jean Bourgain

Type: Article

Publication Date: 1988-07-01

Citations: 45

DOI: https://doi.org/10.1016/0022-1236(88)90033-x

View Publication

Locations

Journal of Functional Analysis - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	On the uncertainty principle for orthonormal families of $L^2 (R)$	2016	Anne de Roton Bahman Saffari Harold S. Shapiro Gérald Tenenbaum
+	An uncertainty principle on the Lorentz spaces	2023	Fu Xing Jie Xiao
+	Uncertainty Principles in Hilbert Spaces	2002	Say Song Goh Charles A. Micchelli
+	A note on the Hilbert basis theorem	1988	Surjeet Singh
+	An extension of the Hilbert basis theorem	2022	Louis Dale Paul J. Allen
+	Uncertainty principles for orthonormal bases	2006	Philippe Jaming
+	The Hilbert basis theorem revisited	1990	David N. Yetter
+	A NOTE ON HAMEL BASIS OF HILBERT SPACES	2015
+ PDF Chat	Uncertainty principles for orthonormal bases	2006	Philippe Jaming
+ PDF Chat	Uncertainty principles for orthonormal bases	2006	Philippe Jaming
+	Uncertainty principles and fourier analysis	1999	Alladi Sitaram
+ PDF Chat	A Nonabsolute Basis for Hilbert Space	1951	B. Gelbaum
+	On Uncertainty Principle for the Morse - Sard Theorem	2017	Adele Ferone Mikhail V. Korobkov Alba Roviello
+	Uncertainty principles for spherical mean $$L^2$$ L 2 -multiplier operators	2017	Khaled Hleili
+	Recent development on James constant of 2-dimensional Lorentz sequence spaces (Mathematics for Uncertainty and Fuzziness : RIMS研究集会報告集)	2014	吉助斎藤健一三谷亮太朗田中
+	Recent development on James constant of 2-dimensional Lorentz sequence spaces (Mathematics for Uncertainty and Fuzziness : RIMS研究集会報告集)	2014	Kichi-Suke Saito Ken-Ichi Mitani Ryotaro Tanaka
+	A Constructive Look at Orthonormal Bases in Hilbert Space	1977	Douglas Bridges
+	Generalized uncertainty principles associated with Hilbert transform	2013	Guanlei Xu Xiaotong Wang Wang Longtao Bo Liu Shipeng Su Xiaogang Xu
+	On the Fourier Transform in the Space L2(−∞, +∞)	1999	Ashot Vagharshakyan
+	A converse to the Eidelheit theorem in real Hilbert spaces	2004	Emil Ernst Michel Théra

Works That Cite This (43)

Action	Title	Year	Authors
+	Uncertainty principles for orthonormal sequences	2006	Philippe Jaming Alexander M. Powell
+	Uncertainty principles for the Hankel–Stockwell transform	2020	Nadia Ben Hamadi Zineb Hafirassou Hajer Herch
+	Phase space localization of orthonormal sequences in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msubsup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>α</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:…	2014	Saifallah Ghobber
+	The uncertainty principle: A mathematical survey	1997	Gerald B. Folland Alladi Sitaram
+	Tighter Heisenberg–Weyl type uncertainty principle associated with quaternion wavelet transform	2023	Xinyu Wang Shenzhou Zheng
+	Filters, mollifiers and the computation of the Gibbs phenomenon	2007	Eitan Tadmor
+	On orthonormal bases and translates	2015	Victor Olevskii
+	A sharp Balian–Low uncertainty principle for shift-invariant spaces	2016	Douglas P. Hardin Michael Northington Alexander M. Powell
+	Localization of the window functions of dual and tight Gabor frames generated by the Gaussian function	2024	Евгений Александрович Киселев Л. А. Минин Igor Yakovlevich Novikov Сергей Николаевич Ушаков
+	Localization of window functions of dual and tight gabor frames generated by the Gaussian function	2024	Евгений Александрович Киселев Л. А. Минин Igor Yakovlevich Novikov Сергей Николаевич Ушаков

Works Cited by This (2)

Action	Title	Year	Authors
+	Un principe d'incertitude fort en théorie du signal ou en mécanique quantique	1981	Roger Balian
+	Principe d'incertitude, bases hilbertiennes et algèbres d'opérateurs	1986	Yves Meyer