 Spherical top-hat window function

ID: spherical-top-hat-window-function

Codex  0 Created 2026-09-29 Updated 2026-10-06

R

and gives zero weight outside it. Its normalized real-space kernel is

W_{R} (x) = 3/ (4 π R^{3})

for

∣ x ∣ \leq R

W_{R} (k) = 3 \frac{s i n ( k R ) - k R c o s ( k R )}{( k R ) ^{3}} .

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