Karlisbad
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A new Hilbert-Polya (approximate) Operator??..
IN the Arxiv. they have put a paper on Hlbert-Polya conjecture..so the operator:
H= -\frac{d^{2}}{dx^{2}}+V(x)
Where the potential V is "constrained" to satisfy the (approximate ) INtegral equation:
AZ(u)u^{1/2}=\int_{-\infty}^{\infty}dxCos(uV(x))
and the link is at: http://arxiv.org/abs/math.GM/0607095
IN the Arxiv. they have put a paper on Hlbert-Polya conjecture..so the operator:
H= -\frac{d^{2}}{dx^{2}}+V(x)

Where the potential V is "constrained" to satisfy the (approximate ) INtegral equation:
AZ(u)u^{1/2}=\int_{-\infty}^{\infty}dxCos(uV(x))
and the link is at: http://arxiv.org/abs/math.GM/0607095