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Is the Fourier Transform of $e^{i(zR\arctan(k/R))} \frac{1}{\sqrt{1 + k^2/R^2}}$ a nascent d...

Let $R > 0 $ and set $h = \frac{1}{R}$. Let $G \in C^\infty(\mathbb{R})\cap L^\infty(\mathbb{R})$. Further restrictions on $G$ are allowed. Consider the (R-dependent) integral operator $K_R: L^2(\ma …
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