OAI/NumberTheory/Ostmann/Arithmetic/MovingSampleDiagonalExpansion.lean
3 declarations, 0 contain sorry, 0 declared as axioms
Exact sample expansion in the mixed prime/integer diagonal
- theorem
OAI.Ostmann.complexIntegerInterval_sumline 11 - theorem
OAI.Ostmann.complexIntegerInterval_const_mulline 19 - theorem
OAI.Ostmann.movingCompensatedAverage_diagonal_patternsline 31Source documentation
The outer factor may contain the full cutoff weight and the common regular transform. It depends on the external draws, not the internal pair.
theorem movingCompensatedAverage_diagonal_patterns {A : Type*} [Fintype A] (μ : ℕ → A → ℝ) (value : A → ℕ) (n : ℕ) (H K : ℝ → ℝ → MovingSampleSlots A n → ℂ) (W : ℝ → ℝ → ℂ) (u v r s center : ℝ) : letI := sampleSetoidFintype (Bool × MovingSampleIndex n) …Mentions: OAI.Ostmann.MovingSampleSlots, OAI.Ostmann.sampleSetoidFintype, OAI.Ostmann.MovingSampleIndex