Prove that the inversion integral reduces to f ( t ) = − 1 2 π ∫ − ∞ ∞ B ( ω ) sin ω t d ω when f ( t ) is a real, odd function of t .

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Chapter 17, Problem 7P

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Prove that the inversion integral reduces to f(t)=−12π∫−∞∞B(ω)sinωtdω when f(t) is a real, odd function of t.

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