A study was conducted to formulate regularized traces of singular differential operators. The proof of the related theorems were based on the asymptotics of the spectral function ΘL(x,y,λ) of L as λ +∞. The operator of multiplication was denoted by P and had a real-valued measurable function q(x) in L2(0,∞).
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GASYMOV MG, 1963, DOKL AKAD NAUK SSSR+, V150, P1202