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MR2226343 58J52 (34L40 47B25 58J35)
Kirsten, Klaus; Loya, Paul; Park, Jinsung The very unusual properties of the resolvent, heat kernel, and zeta function for the operator $-d^2/dr^2-1/(4r^2)$. J. Math. Phys. 47 (2006), no. 4, 043506, 27 pp.
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