On the spectrum and eigenfunctions of the operator $(Vf)(x) = \int_0^{x^\alpha} f(t) dt$

arxiv: 1301.4886 · v1 · pith:4LBF5QHGnew · submitted 2013-01-21 · 🧮 math.SP

On the spectrum and eigenfunctions of the operator (Vf)(x) = int₀^(x^α) f(t) dt

Ignat Domanov This is my paper

classification 🧮 math.SP

keywords alphaeigenfunctionsoperatorspectrumfind

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We find spectrum and eigenfunctions of the operator $(Vf)(x) = \int_0^{x^\alpha} f(t) dt$ in $L_2[0,1]$

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