Microlocal Analysis and Precise Spectral Asymptotics by Victor Ivrii (Hardback, 1998)

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This long awaited book is devoted to the methods of microlocal semiclassical analysis in application to spectral asymptotics with accurate remainder estimates. The very powerful machinery of local and microlocal semiclassical spectral asymptotics is developed as well as methods in combining these asymptotics with spectral estimates.