📜 Theorem, law or theory

Parseval's theorem

Relación de Parseval

Date
1799 · confidence high
Place
Paris, Île-de-France, France
Credited to
Marc Antoine Parseval
Field
Knowledge & symbols

What was discovered

Theorem stating that the sum of the squares of a function equals the sum of the squares of its Fourier transform (unitarity of the Fourier transform); fundamental for signal processing and for conserving energy in physics.

What it led to

  • digital signal analysis
  • information theory and data transmission
  • audio and image processing
  • generalization as the Plancherel theorem

Links

Sources✓ verified 2026-09-28