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• W1631295568 abstract "We address spectral properties of the the Cauchy operator $|Delta |_D^{1/2}$, constrained by means of the exterior Dirichlet boundary data to the interval $D=(-1,1) subset R$. The major technical tool is a transformation of the eigenvalue problem into that of a hypersingular Fredholm-type integral equation which is subsequently solved with the aid of both analytic and numerical methods. As a byproduct of discussion we give a direct analytic proof that trigonometric functions $cos(npi x/2)$ and $sin(npi x)$, for integer $n$ are {it not} the eigenfunctions of $|Delta |_D^{1/2}$." @default.
• W1631295568 created "2016-06-24" @default.
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• W1631295568 date "2015-05-06" @default.
• W1631295568 modified "2023-09-27" @default.
• W1631295568 title "Infinite Cauchy well spectral solution as the hypersingular Fredholm problem" @default.
• W1631295568 hasPublicationYear "2015" @default.
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