Uncertainty principles, restriction, Bourgain's Λq theorem, and signal recovery

IF 2.6 2区数学 Q1 MATHEMATICS, APPLIED

Applied and Computational Harmonic Analysis Pub Date : 2024-12-09 DOI:10.1016/j.acha.2024.101734

A. Iosevich, A. Mayeli

引用次数: 0

Abstract

Let G be a finite abelian group. Let f:G→C be a signal (i.e. function). The classical uncertainty principle asserts that the product of the size of the support of f and its Fourier transform fˆ, supp(f) and supp(fˆ) respectively, must satisfy the condition:|supp(f)|⋅|supp(fˆ)|≥|G|.

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来源期刊

Applied and Computational Harmonic Analysis 物理-物理：数学物理

CiteScore

5.40

自引率

4.00%

发文量

审稿时长

22.9 weeks

期刊介绍： Applied and Computational Harmonic Analysis (ACHA) is an interdisciplinary journal that publishes high-quality papers in all areas of mathematical sciences related to the applied and computational aspects of harmonic analysis, with special emphasis on innovative theoretical development, methods, and algorithms, for information processing, manipulation, understanding, and so forth. The objectives of the journal are to chronicle the important publications in the rapidly growing field of data representation and analysis, to stimulate research in relevant interdisciplinary areas, and to provide a common link among mathematical, physical, and life scientists, as well as engineers.