The Feynman Propagator on Perturbations of Minkowski Space
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[1] A. Vasy,et al. Asymptotics of scalar waves on long-range asymptotically Minkowski spaces , 2016, 1602.04795.
[2] C. Gérard,et al. Hadamard States for the Linearized Yang–Mills Equation on Curved Spacetime , 2014, 1403.7153.
[3] N. V. Dang. Renormalization of quantum field theory on curved space-times, a causal approach , 2013, 1312.5674.
[4] P. Hintz,et al. Non-trapping estimates near normally hyperbolic trapping , 2013, 1311.7197.
[5] P. Hintz. GLOBAL WELL-POSEDNESS OF QUASILINEAR WAVE EQUATIONS ON ASYMPTOTICALLY DE SITTER SPACES , 2013, 1311.6859.
[6] P. Hintz,et al. Semilinear wave equations on asymptotically de Sitter, Kerr–de Sitter and Minkowski spacetimes , 2013, 1306.4705.
[7] S. Dyatlov,et al. Dynamical zeta functions for Anosov flows via microlocal analysis , 2013, 1306.4203.
[8] A. Vasy,et al. Asymptotics of radiation fields in asymptotically Minkowski space , 2012, 1212.5141.
[9] C. Gérard,et al. Communications in Mathematical Physics Construction of Hadamard States by Pseudo-Differential Calculus , 2022 .
[10] N. Haber,et al. Propagation of singularities around a Lagrangian submanifold of radial points , 2011, 1110.1419.
[11] A. Vasy. Microlocal analysis of asymptotically hyperbolic spaces and high energy resolvent estimates , 2011, 1104.1376.
[12] A. Vasy. Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces (with an appendix by Semyon Dyatlov) , 2010, Inventiones mathematicae.
[13] A. Vasy,et al. Gluing Semiclassical Resolvent Estimates via Propagation of Singularities , 2010, 1008.3964.
[14] J. Sjöstrand,et al. Upper Bound on the Density of Ruelle Resonances for Anosov Flows , 2010, 1003.0513.
[15] L. Bieri. Extensions of the Stability Theorem of the Minkowski Space in General Relativity , 2009, 0904.0620.
[16] C. Dappiaggi,et al. Cosmological Horizons and Reconstruction of Quantum Field Theories , 2007, 0712.1770.
[17] D. Tataru,et al. Global parametrices and dispersive estimates for variable coefficient wave equations , 2007, 0707.1191.
[18] M. Zworski,et al. Quantum decay rates in chaotic scattering , 2007, 0706.3242.
[19] Andrew Hassell,et al. Resolvent at low energy and Riesz transform for Schrödinger operators on asymptotically conic manifolds. I. , 2007, math/0701515.
[20] Valter Moretti. Quantum Out-States Holographically Induced by Asymptotic Flatness: Invariance under Spacetime Symmetries, Energy Positivity and Hadamard Property , 2006, gr-qc/0610143.
[21] Hans Lindblad. Global Solutions of Quasilinear Wave Equations , 2005, math/0511461.
[22] P. Chruściel,et al. ERRATUM: "POLYHOMOGENEOUS SOLUTIONS OF NONLINEAR WAVE EQUATIONS WITHOUT CORNER CONDITIONS" , 2005, math/0506423.
[23] C. Dappiaggi,et al. RIGOROUS STEPS TOWARDS HOLOGRAPHY IN ASYMPTOTICALLY FLAT SPACETIMES , 2005, gr-qc/0506069.
[24] G. Carron,et al. Riesz transform and $L^p$ cohomology for manifolds with Euclidean ends , 2004, math/0411648.
[25] I. Rodnianski,et al. The global stability of the Minkowski space-time in harmonic gauge , 2004, math/0411109.
[26] I. Rodnianski,et al. Global Existence for the Einstein Vacuum Equations in Wave Coordinates , 2003, math/0312479.
[27] A. Vasy,et al. Analytic continuation of the resolvent of the Laplacian on symmetric spaces of noncompact type , 2003, math/0308043.
[28] A. Vasy,et al. Analytic continuation of the resolvent of the Laplacian on SL(3)/ SO(3) , 2002, math/0208116.
[29] K. Fredenhagen,et al. Microlocal Analysis and¶Interacting Quantum Field Theories:¶Renormalization on Physical Backgrounds , 1999, math-ph/9903028.
[30] Marek J. Radzikowski. Micro-local approach to the Hadamard condition in quantum field theory on curved space-time , 1996 .
[31] Michael Taylor,et al. Partial Differential Equations I: Basic Theory , 1996 .
[32] Michael E. Taylor,et al. Partial Differential Equations II: Qualitative Studies of Linear Equations , 1996 .
[33] K. Fredenhagen,et al. The microlocal spectrum condition and Wick polynomials of free fields on curved spacetimes , 1995, gr-qc/9510056.
[34] Richard B. Melrose,et al. The Atiyah-Patodi-Singer Index Theorem , 1993 .
[35] Demetrios Christodoulou,et al. Global solutions of nonlinear hyperbolic equations for small initial data , 1986 .
[36] Sergiu Klainerman,et al. Uniform decay estimates and the lorentz invariance of the classical wave equation , 1985 .
[37] J. Duistermaat. On Carleman estimates for pseudo-differential operators , 1972 .
[38] R. Geroch,et al. The domain of dependence , 1970 .
[39] D.,et al. The global nonlinear stability of the Minkowski space , 2018 .
[40] Brian Davies,et al. Partial Differential Equations II , 2002 .
[41] Israel Michael Sigal,et al. Introduction to Spectral Theory , 1996 .
[42] Y. Egorov,et al. Fourier Integral Operators , 1994 .
[43] L. Hörmander,et al. Fourier integral operators. II , 1972 .
[44] L. Hörmander,et al. On the existence and the regularity of solutions of linear pseudo-differential equations , 1971 .
[45] A. Unterberger. Résolution d'équations aux dérivées partielles dans des espaces de distributions d'ordre de régularité variable , 1971 .
[46] G. M.,et al. Partial Differential Equations I , 2023, Applied Mathematical Sciences.