Titlebook: Microlocal Analysis, Sharp Spectral Asymptotics and Applications II; Functional Methods a Victor Ivrii Book 2019 Springer Nature Switzerlan

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Estimates of the Spectrum in the IntervalHere . is the spectral projector corresponding to the . . rather than to more standard semi-open interval . as before and . is number of eigenvalues in . counting their multiplicities, unless . in which case ..

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978-3-030-30543-7Springer Nature Switzerland AG 2019

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Victor Ivriinsidered infrastructure resisting ability. Resilience is the enduring capacity of an infrastructure system against natural disasters and quickly recover after the disaster. As the impact of any hazard cannot be stopped or reduced, and resilience depends on several parameters, it is essential to stud

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Estimates of the Negative Spectrum to local semiclassical spectral asymptotics with the variational estimates of Rozenblioum type (upper estimates for .) in order to derive upper and lower estimates for . where . is the number of negative eigenvalues of the self-adjoint operator . (counting their multiplicities) provided . does not