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from Part II - Mathematical Background
Published online by Cambridge University Press: 08 February 2024
This chapter develops methods to compute asymptotics of multivariate Fourier–Laplace integrals in order to derive general saddle point approximations for use in later chapters. Our approach uses contour deformation, differing from common treatments relying on integration by parts: this requires analyticity rather than just smoothness but is better suited to integration over complex manifolds.
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