L^p(μ) = {f : ∫|f|^p dμ < ∞} modulo a.e. equality, with norm ||f||_p = (∫|f|^p)^{1/p}. L² is a Hilbert space (quantum mechanics); L^∞ is the essential-sup norm.
Lp space
Related concepts
- Lebesgue integral
- Inner product
- Fourier transform
- Fourier series
- Gaussian (normal) distribution
- Sobolev space W^{k,p}
- Itô integral
- Vitali convergence theorem
- Riesz-Fischer theorem (L^p completeness)
- Hammerstein equation (nonlinear integral)
- Direct method (Tonelli-Weierstrass)
- Muntz-Szasz theorem (1914)
- d-bar equation (Hormander 1965)
- Bergman kernel / Szego projection
- Galerkin (1915)
- Nyström method (1928)
- Born rule
- Hilbert space (physics use)
- Basis set
- MP2 (second-order Møller–Plesset)