Construct · 1 fields · 1 citations

Hardy's uncertainty principle: a standalone construct

One name. One construct. A landmark on the map.

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Hardy's uncertaintyprinciple1 CONSTRUCTHardy's uncertaintyHARDY · HARMONIC ANALYSIS

A single standalone construct; nearby constructs are located against it in the Collider. Tap a field for its definition, unit, and measures.

Harmonic analysis

a function and its Fourier transform cannot both decay faster than matching Gaussians unless the function is zero.

In harmonic analysis, Hardy's uncertainty principle refers to a function and its Fourier transform cannot both decay faster than matching Gaussians unless the function is zero. This meaning comes from Hardy (1933) in Journal of the London Mathematical Society.[1]

Unit
Recovery means
Measured by

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Nearby constructs

decay4 fields · 5 citationsjingle · one word, four constructsFourier transform1 fields · 3 citationsanchor · a standalone constructfunction5 fields · 6 citationsjingle · one word, five constructs

References

  1. Hardy, G. H. (1933). A Theorem Concerning Fourier Transforms. Journal of the London Mathematical Society, s1-8(3), 227-231. https://doi.org/10.1112/jlms/s1-8.3.227

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