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The question is related to the one I asked before and never got an answer to. Fourier transform of $f_a(x)= a^{-2}\exp(-|x|^a)$, $a \in (0,2)$, is decreasing in $a$ . I need to demonstrate that the ...

Problem statement Let $f,g \in C^\omega(X,\mathbb{R})$ be two real analytic functions over a real Banach space $X$. Assume that, for every $n \in \mathbb{N}$, there exists $C_n>0$ and $h_n \in C^\...

Let $p_0=0$, $p_1=1$, $p_2=1+i$ and $p_3=i$ be the four vertices of a square $Q$ on the complex plane $\mathbb C$. Let $f \in C^{\infty}_c((0,1))$ and consider the following Riemann-Hilbert problem on ...