20/09/03 01:27:03.12 PGJ1gE8Y.net
∫[-∞,+∞] {sin(x)/x}^n cos(mx) dx = 0 (|m|≧n)
∫[-∞,+∞] {sin(x)/x} cos(mx) dx = π, (|m|<1)
π/2, (|m|=1)
これをディリクレの不連続因子と云うらしい。
∫[-∞,+∞] {sin(x)/x}^2 cos(mx) dx = π(2-|m|)/2, (|m|≦2)
∫[-∞,+∞] {sin(x)/x}^3 cos(mx) dx = π(3-m^2)/4, (|m|≦1)
= π(3-|m|)^2 /8, (1≦|m|≦3)