The uncertainty principle: A mathematical survey

Folland, & Sitaram. (1997). The uncertainty principle: A mathematical survey: A mathematical survey. The Journal of Fourier Analysis and Applications.

Type

Journal article

Intellectual base

Primary research

Year

1997

DOI

10.1007/bf02649110

Link

https://doi.org/10.1007/bf02649110

Cited by

1 citation across 1 artifact.

Domain-specific

• Fourier Transform
  • Third, an uncertainty principle bounds the joint time-frequency concentration of \(f\) and \(\hat{f}\): a signal cannot be simultaneously localized to a short time interval and a narrow frequency band; the widths satisfy \(\sigma_t \cdot \sigma_\xi \geq \frac{1}{4\pi}\)

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