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Results tagged with real-analysis
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user 120741
Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
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Dirichlet fractional Laplacian and zero boundary conditions
Does there exists a non-zero function $$f\in C_0([0,1]):=\{f:[0,1]\to \mathbb R:\ f\text{ is continuous and } f(0)=f(1)=0\},$$ such that $(-\Delta)^{\frac\alpha 2}f\in C_0([0,1]) $, where $(-\Delta)^{ …
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