A Completeness Problem Related to the Riemann Hypothesis |
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| Authors: | Julio Alcántara-Bode |
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| Institution: | 1. PUCP and IMCA, Lima, Peru
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| Abstract: | It is proven that the set of eigenvectors and generalized eigenvectors associated to the non-zero eigenvalues of the Hilbert-Schmidt
(non nuclear, non normal) integral operator on L2(0, 1)
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Ar (a)f](q) = ò01 r( \fracaq x )f(x)dx A_{\rho } (\alpha )f](\theta ) = {\int_0^1 {\rho {\left( {\frac{{\alpha \theta }} {x}} \right)}f(x)dx} } |
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