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Q: Fractional Fourier Transform of $\sqrt{c} x( c(t - \tau))$

The DudeI am trying to figure out what the Fractional Fourier Transform of the signal $\sqrt{c} x(c(t-\tau))$ would be with respect to that of $x(t)$. According to the paper "The Fractional Fourier Transform and Time-Frequency Representations" by Luis B. Almeida in IEEE TRANSACTIONS ON SIGNAL PROCESSING,...

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Q: Interior of the image of a morphism

quantumLet $\phi:X\to Y$ be a morphism between irreducible quasiprojective varieties. If $\phi$ has a dense image in $Y$ can we conclude that its image has an interior? It really feels like it, but I couldn't show it. Maybe there is a counterexample? I guess for specific type of quasi-projective varieti...

 

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