Nazarov's uncertainty principles in higher dimension
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Publication:2472362
DOI10.1016/j.jat.2007.04.005zbMath1232.42013arXivmath/0612367OpenAlexW2021639831WikidataQ56067655 ScholiaQ56067655MaRDI QIDQ2472362
Publication date: 21 February 2008
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0612367
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Inequalities for sums, series and integrals (26D15)
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Cites Work
- Unnamed Item
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- Uncertainty inequalities associated to some homogeneous functions.
- A survey on uncertainty principles related to quadratic forms
- On Fourier transforms of functions supported on sets of finite Lebesgue measure
- On support properties of Lsup(p)-functions and their Fourier transforms
- Some harmonic analysis questions suggested by Anderson-Bernoulli models. Appendix by T.H.Wolff
- The uncertainty principle: A mathematical survey
- Support dependent weighted norm estimates for Fourier transforms
- Support-dependent weighted norm estimates for Fourier transforms. II.
- A multidimensional version of Turán's Lemma
- Some results related to the Logvinenko-Sereda theorem
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