@article{AIHPA_1984__41_2_207_0, author = {Jensen, Arne and Mourre, \'Eric and Perry, Peter}, title = {Multiple commutator estimates and resolvent smoothness in quantum scattering theory}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {207--225}, publisher = {Gauthier-Villars}, volume = {41}, number = {2}, year = {1984}, zbl = {0561.47007}, mrnumber = {769156}, language = {en}, url = {http://www.numdam.org/item/AIHPA_1984__41_2_207_0/} }
TY - JOUR AU - Jensen, Arne AU - Mourre, Éric AU - Perry, Peter TI - Multiple commutator estimates and resolvent smoothness in quantum scattering theory JO - Annales de l'I.H.P. Physique théorique PY - 1984 DA - 1984/// SP - 207 EP - 225 VL - 41 IS - 2 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPA_1984__41_2_207_0/ UR - https://zbmath.org/?q=an%3A0561.47007 UR - https://www.ams.org/mathscinet-getitem?mr=769156 LA - en ID - AIHPA_1984__41_2_207_0 ER -
Jensen, Arne; Mourre, Éric; Perry, Peter. Multiple commutator estimates and resolvent smoothness in quantum scattering theory. Annales de l'I.H.P. Physique théorique, Tome 41 (1984) no. 2, pp. 207-225. http://www.numdam.org/item/AIHPA_1984__41_2_207_0/
[1] Some new results in spectral and scattering theory of differential operators on L2(Rn). Séminaire Goulaouic-Schwartz, 1978/1979. Exp. No. 2, École Polytech., Palaiseau, 1979. | Numdam | MR 557513 | Zbl 0406.35052
,[2] Comm. Math. Phys., t. 22, 1971, p. 269-279. | MR 345551 | Zbl 0219.47011
, ,[3] Comm. Math. Phys., t. 22, 1971, p. 280-294. | MR 345552 | Zbl 0219.47005
, ,[4] J. Math. Phys., t. 5, 1964, p. 729-738. | MR 163620
,[5] Ann. Phys. (N. Y.), t. 119, 1979, p. 117-132. Addendum, Preprint, Bielefeld, 1979. | MR 535624
,[6] Math. Z., t. 146, 1976, p. 69-91. | MR 393884 | Zbl 0319.35059
,[7] J. Funct. Anal., t. 20, 1975, p. 158-177. | Zbl 0315.35067
,[8] Publ. Res. Inst. Math. Sci., t. 11, 1976, p. 551-558. | MR 440213 | Zbl 0345.35032
,[9] Publ. Res. Inst. Math. Sci., t. 15, 1979, p. 679-718. | MR 566076 | Zbl 0432.35061
, ,[10] Integral Equations Operator Theory, t. 5, 1982, p. 18-49. | MR 646878
, ,[11] Publ. Res. Inst. Math. Sci., t. 13, 1977, p. 589-626. | MR 479087 | Zbl 0435.47011
,[12] Private Communication.
, ,[13] Duke Math. J., t. 46, 1979, p. 583-611. | MR 544248 | Zbl 0448.35080
, ,[14] Comm. Math. Phys., t. 82, 1981, p. 435-456. | MR 641772 | Zbl 0483.47031
,[15] Lett. Math. Phys., t. 7, 1983, p. 137-143. | MR 708436 | Zbl 0517.47010
,[16] Math. Ann., t. 162, 1966, p. 258-279. | MR 190801 | Zbl 0139.31203
,[17] Studia Math., t. 31, 1968, p. 535-546. | MR 234314 | Zbl 0215.48802
,[18] Proc. Japan Acad. Ser. A Math. Sci., t. 52, 1976, p. 409-412. | MR 422911 | Zbl 0358.35024
,[19] J. Math. Soc. Japan, t. 29, 1977, p. 665-691. | MR 634802 | Zbl 0356.47006
,[20] J. Math. Soc. Japan, t. 30, 1978, p. 603-632. | MR 634803 | Zbl 0388.35055
,[21] Comm. Math. Phys., t. 20, 1971, p. 301-323. | MR 293945 | Zbl 0207.13706
,[22] J. Math. Phys., t. 14, 1973, p. 376-379. | Zbl 0269.47005
,[23] Comm. Math. Phys., t. 68, 1979, p. 91-94. | MR 539739 | Zbl 0429.47006
,[24] Comm. Math. Phys., t. 78, 1981, p. 391-408. | MR 603501 | Zbl 0489.47010
,[25] Algebraic approach to some propagation properties of the Schrödinger equation. In: Mathematical Problems of Theoretical Physics, ed. R. Schrader, R. Seiler, P. A. Uhlenbrock. Lecture Notes in Physics, No. 153, Springer Verlag, Berlin, etc., 1981.
,[26] Comm. Math. Phys., t. 91, 1983, p. 279-300. | MR 723552 | Zbl 0543.47041
,[27]
, Preprint, CPT-CNRS, Marseille, 1982.[28]
, , Preprint, Indian Statistical Institute, 1983.[29] Comm. Math. Phys., t. 81, 1981, p. 243-259. | MR 632760 | Zbl 0471.47007
,[30] Ann. Math., t. 114, 1981, p. 519-567. | MR 634428 | Zbl 0477.35069
, , ,[31] Commutation Properties of Hilbert Space Operators and Related Topics. Springer Verlag, Berlin, etc., 1967. | MR 217618 | Zbl 0149.35104
,[32] Methods of Modern Mathematical Physics. III. Scattering Theory. Academic Press, New York, 1979. | MR 529429 | Zbl 0405.47007
, ,[33] Osaka J. Math., t. 14, 1979, p. 37-53. | MR 442505 | Zbl 0356.35020
,[34] Spectral representations for Schrödinger operators with long-range potentials. Lecture Notes in Mathematics, Vol. 727, Springer Verlag, Berlin, etc., 1979. | MR 540891 | Zbl 0414.47012
,