Asymptotic exponential integrals. Newton's diagram, and the classification of minimal points

DOI10.1007/BF01079460zbMath0418.28001OpenAlexW1965633330MaRDI QIDQ755710

Victor A. Vassiliev

Publication date: 1978

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01079460

zbMATH Keywords

stationary phase methodNewton's diagramasymptotic exponential integralsclassification of minimal points

Mathematics Subject Classification ID

Integration with respect to measures and other set functions (28A25) Path integrals in quantum mechanics (81S40) Length, area, volume, other geometric measure theory (28A75) Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) (46G99)

Related Items (17)

Third and fourth–order optimality conditions in optimization ⋮ Sublevel-set estimates over global domains ⋮ Newton polygon and distribution of integer points in sublevel sets ⋮ Resolution of singularities, asymptotic expansions of integrals and related phenomena ⋮ Dynamical stability of quasi-periodic response solutions in planar conservative systems ⋮ On the infinite increase of a class of polynomials ⋮ An inverse problem, area, and Morse theory ⋮ On the effective computation of Łojasiewicz exponents via Newton polyhedra ⋮ Finiteness of the number of eigenvalues of the two-particle Schrödinger operator on a lattice ⋮ Behavior of the Bergman kernel at infinity ⋮ Oscillatory integral decay, sublevel set growth, and the Newton polyhedron ⋮ Asymptotic expansions of Laplace-type integrals. III ⋮ Stationary points at infinity for analytic combinatorics ⋮ Unnamed Item ⋮ Global asymptotics for multiple integrals with boundaries. ⋮ Local normal forms of EM-wavefronts in affine flat coordinates ⋮ Caustic Skeleton & Cosmic Web

Cites Work

• On isometries of inner product spaces

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