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Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.

6 votes
1 answer
192 views

Oscillatory integrals with a decaying factor in the integrand

Lemma 4.5 of Titchmarsh's book The Theory of the Riemann Zeta function says (slightly rephrased): Let $F$ be a twice differentiable real function such that $ F''(x) \geq r > 0$ for all $x$ in $[a,b]$ …