@book{AST_2000__262__R1_0,
author = {Vasy, Andr\'as},
title = {Propagation of singularities in three-body scattering},
series = {Ast\'erisque},
year = {2000},
publisher = {Soci\'et\'e math\'ematique de France},
number = {262},
mrnumber = {1744795},
zbl = {0941.35001},
language = {en},
url = {https://www.numdam.org/item/AST_2000__262__R1_0/}
}
Vasy, András. Propagation of singularities in three-body scattering. Astérisque, no. 262 (2000), 157 p. https://www.numdam.org/item/AST_2000__262__R1_0/
[1] & (eds.) - Dynamics and processes, Lect. Notes in Math., Springer-Verlag, 1983. | MR | DOI
[2] - Propriétés de la matrice de diffusion, -amas -amas, pour les problèmes à corps à longue portée, Ann. Inst. H. Poincaré 59 (1993), p. 237-267. | MR | Zbl | EuDML | Numdam
[3] - Scattering theory for perturbed stratified media, J. Anal. Math. 76 (1998), p. 1-43. | MR | Zbl | DOI
[4] - Asymptotic completeness of long-range -body quantum systems, Ann. of Math. 138 (1993), p. 427-476. | MR | Zbl | DOI
[5] - Completeness of three-body quantum scattering, in Dynamics and processes [1], p. 68-83. | Zbl
[6] , Quantum scattering theory two- and three-body systems with potentials of short and long range, in Schrödinger operators [12], p. 39-176. | MR | Zbl
[7] - Mathematical aspects of the three-body problem in the quantum scattering theory, Steklov Institute, 1963. | Zbl | MR
[8] & - Exponential bounds and absence of positive eigenvalues of -body Schrödinger operators, Comm. Math. Phys. 87 (1982), p. 429-447. | MR | Zbl | DOI
[9] & , A new proof of the Mourre estimate, Duke Math. J. 49 (1982), p. 1075-1085. | MR | Zbl | DOI
[10] , & - Commutator algebra and resolvent estimates, in Spectral and scattering theory and related topics [42], p. 69-82. | MR | Zbl
[11] - Asymptotic completeness for -body short range systems : a new proof, Comm. Math. Phys. 132 (1990), p. 73-101. | MR | Zbl | DOI
[12] (ed.) - Schrödinger operators, Lect. Notes in Math., Springer-Verlag, 1985. | MR | Zbl | DOI
[13] - Distorted plane waves for the body Schrödinger operator, Geom. Funct. Anal., to appear. | MR | Zbl
[14] , Scattering matrices for the quantum -body problem, Trans. Amer. Math. Soc., to appear. | MR | Zbl
[15] & - Équation de Schrödinger avec champ magnétique et équation de Harper, Schrödinger operators : Proceedings, Nordic Summer School in Mathematics, Sonderborg, Denmark, 1988. | Zbl | Numdam
& - Équation de Schrödinger avec champ magnétique et équation de Harper, Schrödinger operators : Proceedings, Nordic Summer School in Mathematics, Sonderborg, Denmark, 1989, p. 118-197. | MR | Zbl | DOI
[16] & - Free channel Fourier transform in the long range -body problem, J. Analyse Math. 65 (1995), p. 297-332. | MR | Zbl | DOI
[17] - Fourier integral operators, I, Acta Math. 127 (1971), p. 79-183. | MR | Zbl | DOI
[18] , The analysis of linear partial differential operators, vol. 1-4, Springer-Verlag, 1983. | Zbl
[19] (ed.) - Spectral and scattering theory, Lecture Notes in Pure and Applied Math., vol. 161, Marcel Dekker, Inc., New York, 1994. | MR | Zbl
[20] - Structures of -matrices for three body Schrödinger operators, Comm. Math. Phys. 146 (1992), p. 241-258. | MR | Zbl | DOI
[21] , Asymptotic properties of generalized eigenfunctions for three body Schrödinger operators, Comm. Math. Phys. 153 (1993), p. 1-21. | MR | Zbl | DOI
[22] , A generalization of the radiation condition of Sommerfeld for -body Schrödinger operators, Duke Math. J. 74 (1994), p. 557-584. | MR | Zbl | DOI
[23] & - Pseudodifferential operators on manifolds with fibred boundaries, Asian J. Math. 2 (1998), p. 833-866. | MR | Zbl | DOI
[24] - Calculus of conormal distributions on manifolds with corners, Internat. Math. Res. Notices 3 (1992), p. 51-61. | MR | Zbl | DOI
[25] , Spectral and scattering theory for the Laplacian on asymptotically Euclidian spaces, in Spectral and scattering theory [19], p. 85-130. | MR | Zbl
[26] , Geometric scattering theory, Cambridge University Press, 1995. | MR | Zbl
[27] & - Singularities of boundary value problems. I, Comm. Pure Appl. Math. 31 (1978), p. 593-617. | MR | Zbl | DOI
[28] & , Singularities of boundary value problems. II, Comm. Pure Appl. Math. 35 (1982), p. 129-168. | MR | Zbl | DOI
[29] & - Scattering metrics and geodesic flow at infinity, Invent Math. 124 (1996), p. 389-436. | MR | Zbl | DOI
[30] - Absence of singular continuous spectrum of certain self-adjoint operators, Comm. Math. Phys. 78 (1981), p. 391-408. | MR | Zbl | DOI
[31] , Operateurs conjugés et propriétés de propagation, Comm. Math. Phys. 91 (1983), p. 279-300. | MR | Zbl | DOI
[32] , & - Spectral analysis of -body Schrödinger operators, Ann. of Math. 114 (1981), p. 519-567. | MR | Zbl | DOI
[33] - Complex powers of an elliptic operator, Singular Integrals, Proc. of Symposia in Pure Math., vol. 10, American Mathematical Society, 1967, p. 288-307. | MR | Zbl | DOI
[34] & - -particle scattering problem : asymptotic completeness for short range systems, Ann. of Math. 125 (1987), p. 35-108. | MR | Zbl | DOI
[35] & , Asymptotic completeness of -particle long-range scattering, J. Amer. Math. Soc. 7 (1994), p. 307-334. | MR | Zbl
[36] - Propagation of analytic singularities for second order Dirichlet problems, Comm. Partial Differential Equations 5 (1980), p. 41-94. | MR | Zbl | DOI
[37] - Smoothness of -body scattering amplitudes, Reviews in Math. Phys. 4 (1992), p. 619-658. | MR | Zbl | DOI
[38] - Asymptotic behavior of generalized eigenfunctions in -body scattering, J. Func. Anal. 148 (1997), p. 170-184. | MR | Zbl | DOI
[39] , Structure of the resolvent for three-body potentials, Duke Math. J. 90 (1997), p. 379-434. | MR | Zbl | DOI
[40] - Projections of distributions on manifolds with boundary, Manuscript.
[41] - Radiation conditions and scattering theory for -particle Hamiltonians, Comm. Math. Phys. 154 (1993), p. 523-554. | MR | Zbl | DOI
[42] (ed.) - Spectral and scattering theory and related topics, Advanced studies in pure mathematics, vol. 23, 1994. | MR | DOI






