Resolution of singularities for \(C^\infty\) functions and meromorphy of local zeta functions
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Publication:6065770
DOI10.1016/j.jfa.2023.110185arXiv2209.05657OpenAlexW4387266832MaRDI QIDQ6065770
Publication date: 15 November 2023
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2209.05657
Modifications; resolution of singularities (complex-analytic aspects) (32S45) (C^infty)-functions, quasi-analytic functions (26E10) Singularities of curves, local rings (14H20)
Cites Work
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- Meromorphic continuations of local zeta functions and their applications to oscillating integrals
- Polyèdre de Newton et distribution \(f^ s_+\). I. (Newton polyhedra and distributions \(f^ s_+\). I.)
- Estimates for maximal functions associated with hypersurfaces in \(\mathbb R^3\) and related problems of harmonic analysis
- Resolution of singularities, asymptotic expansions of integrals and related phenomena
- Uniform estimates for the Fourier transform of surface carried measures in \(\mathbb R^{3}\) and an application to Fourier restriction
- The asymptotic behavior of degenerate oscillatory integrals in two dimensions
- An elementary coordinate-dependent local resolution of singularities and applications
- Hilbert transforms along curves. I: Nilpotent groups
- Newton polyhedron and \(f^ s_ +\) distribution. II
- Newton polyhedra and estimation of oscillating integrals
- Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant
- The Newton polyhedron and oscillatory integral operators
- Algebraic estimates, stability of local zeta functions, and uniform estimates for distribution functions
- Resolution of singularities in Denjoy-Carleman classes
- A direct resolution of singularities for functions of two variables with applications to analysis
- Oscillatory integral decay, sublevel set growth, and the Newton polyhedron
- Meromorphy of local zeta functions in smooth model cases
- Asymptotic analysis of oscillatory integrals via the Newton polyhedra of the phase and the amplitude
- Idéaux de fonctions différentiables. I
- Oscillating integrals and Newton polyhedra
- Resolution of singularities of an algebraic variety over a field of characteristic zero. I
- On Archimedean zeta functions and Newton polyhedra
- Newton polyhedra and weighted oscillatory integrals with smooth phases
- Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra (AM-194)
- A multi-dimensional resolution of singularities with applications to analysis
- On adapted coordinate systems
- Real-Analytic Desingularization and Subanalytic Sets: An Elementary Approach
- Intégrales asymptotiques et monodromie
- On the growth and stability of real-analytic functions
- Nonpolar singularities of local zeta functions in some smooth case
- Extension of C ∞ Functions Defined in a Half Space
- Resolution of Singularities and Division of Distributions
- Newton polygons and local integrability of negative powers of smooth functions in the plane
- Introduction to Plane Curve Singularities. Toric Resolution Tower and Puiseux Pairs
- Sharp \(L^2\) bounds for oscillatory integral operators with \(C^\infty\) phases
