lintegralPowLePowLIntegralFDerivConst

English

Fourier transform of χ equals Gauss sum evaluated at a shifted additive character.

Русский

Преобразование Фурье χ эквивалентно гауссовой сумме, оцененной на сдвинутой аддитивной характеристике.

LaTeX

$$$\\\\mathcal{F} χ(k) = gaussSum χ (stdAddChar.mulShift (-k))$$$

Lean4

/-- The constant factor occurring in the conclusion of `lintegral_pow_le_pow_lintegral_fderiv`.
It only depends on `E`, `μ` and `p`.
It is determined by the ratio of the measures on `E` and `ℝⁿ` and
the operator norm of a chosen equivalence `E ≃ ℝⁿ` (raised to suitable powers involving `p`). -/
def lintegralPowLePowLIntegralFDerivConst :=
  val_proj @wrapped✝.{}

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