Newton polygons and local integrability of negative powers of smooth functions in the plane
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Publication:5705526
DOI10.1090/S0002-9947-05-03664-0zbMath1080.42011OpenAlexW1483824193MaRDI QIDQ5705526
Publication date: 9 November 2005
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-05-03664-0
Related Items (13)
On Meromorphic Continuation of Local Zeta Functions ⋮ On boundedness of maximal operators associated with hypersurfaces ⋮ Integrability at infinity of negative powers of polynomials in the plane and its application to convergence of Dirichlet series ⋮ Singularities of rational inner functions in higher dimensions ⋮ Estimates for maximal functions associated with hypersurfaces in \(\mathbb R^3\) and related problems of harmonic analysis ⋮ Resolution of singularities for \(C^\infty\) functions and meromorphy of local zeta functions ⋮ Newton polygon and distribution of integer points in sublevel sets ⋮ Fourier transforms of powers of well-behaved 2D real analytic functions ⋮ An elementary coordinate-dependent local resolution of singularities and applications ⋮ Oscillatory integral decay, sublevel set growth, and the Newton polyhedron ⋮ Meromorphy of local zeta functions in smooth model cases ⋮ Volume estimates of sublevel sets of real polynomials ⋮ Nonpolar singularities of local zeta functions in some smooth case
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