Fourier Analysis: An Introduction

By E. Stein, Rami Shakarchi. 2003

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The debiased Whittle likelihood (2019, methodology): “To show this, we make use of Proposition 3.1 in Stein & Shakarchi (2003), which states that the convolution of two integrable and periodic functions is itself continuous.”
Approximation of stable law in Wasserstein-1 distance by Stein’s method (2017, background): “Its infinitesimal generator is Af(x) = ∆ α 2 f(x)− 1 α xf ′(x) ∀ f ∈ S(R,R), where S(R,R) is the Schwartz function space, the set of all smooth functions whose derivatives are rapidly decreasing [49].”
Resolution of Policy Uncertainty and Sudden Declines in Volatility (2017, unknown): “6 Tempered distribution refers to the distribution of functions in the Schwarz space, a linear space of functions all of whose derivatives are rapidly decreasing, see Stein and Shakarchi (2003).”