Paley–Wiener theorem
Teorema de Paley–Wiener
- Date
- 1934 · confidence high
- Place
- Cambridge, United Kingdom
- Credited to
- Raymond Paley y Norbert Wiener
- Field
- Knowledge & symbols
What was discovered
Family of theorems by Raymond Paley and Norbert Wiener relating the decay of a function at infinity to the analyticity of its Fourier transform, published in 1934 for square-integrable functions.
What it led to
- Later extension to distributions by Laurent Schwartz
- Key tool in harmonic analysis and signal processing
- Applications in control theory and causal systems