Oscillatory integral operators with homogeneous polynomial phases in several variables

DOI10.1016/j.jfa.2006.11.005zbMath1127.35090arXivmath/0605102OpenAlexW2040515062MaRDI QIDQ880102

Wan Tang, Malabika Pramanik, Allan Greenleaf

Publication date: 10 May 2007

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605102

zbMATH Keywords

Newton polyhedronoscillatory integral operatorsdecay estimatespolynomial phase function

Mathematics Subject Classification ID

Fourier integral operators applied to PDEs (35S30) Pseudodifferential operators (47G30)

Related Items (10)

Rank and regularity for averages over submanifolds ⋮ Archimedean zeta functions and oscillatory integrals ⋮ Sharp \(L^{p}\)-boundedness of oscillatory integral operators with polynomial phases ⋮ Meromorphic continuations of local zeta functions and their applications to oscillating integrals ⋮ Sharp \(L^p\) decay of oscillatory integral operators with certain homogeneous polynomial phases in several variables ⋮ A sharp decay estimate for degenerate oscillatory integral operators using broad-narrow method ⋮ Analysis and applications: The mathematical work of Elias Stein ⋮ Sharp Bounds for Oscillatory Integral Operators with Homogeneous Polynomial Phases ⋮ Van der Corput lemmas for Mittag-Leffler functions. II: \(\alpha\)-directions ⋮ Damping estimates for oscillatory integral operators with real-analytic phases and its applications

Cites Work

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• Oscillatory integrals with polynomial phases
• Newton polyhedra and estimation of oscillating integrals
• Degenerate Fourier integral operators in the plane
• The Newton polyhedron and oscillatory integral operators
• Models of degenerate Fourier integral operators and Radon transforms
• Oscillatory and Fourier integral operators with degenerate canonical relations
• Oscillatory integrals and multipliers on FL\(^p\)
• Fourier integral operators with fold singularities.
• L2 estimates for oscillatory integral operators and pencils of homogeneous functions
• Oscillatory integrals associated to folding canonical relations
• Decay rates of oscillatory integral operators in “1 + 2” dimensions
• Sharp L 2 estimates for one-dimensional oscillatory integral operators with C ∞ phase
• Sharp \(L^2\) bounds for oscillatory integral operators with \(C^\infty\) phases

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