@article{ASNSP_1975_4_2_2_151_0, author = {Agmon, Shmuel}, title = {Spectral properties of {Schr\"odinger} operators and scattering theory}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {151--218}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 2}, number = {2}, year = {1975}, mrnumber = {397194}, zbl = {0315.47007}, language = {en}, url = {http://www.numdam.org/item/ASNSP_1975_4_2_2_151_0/} }
TY - JOUR AU - Agmon, Shmuel TI - Spectral properties of Schrödinger operators and scattering theory JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1975 SP - 151 EP - 218 VL - 2 IS - 2 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1975_4_2_2_151_0/ LA - en ID - ASNSP_1975_4_2_2_151_0 ER -
%0 Journal Article %A Agmon, Shmuel %T Spectral properties of Schrödinger operators and scattering theory %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1975 %P 151-218 %V 2 %N 2 %I Scuola normale superiore %U http://www.numdam.org/item/ASNSP_1975_4_2_2_151_0/ %G en %F ASNSP_1975_4_2_2_151_0
Agmon, Shmuel. Spectral properties of Schrödinger operators and scattering theory. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 2 (1975) no. 2, pp. 151-218. http://www.numdam.org/item/ASNSP_1975_4_2_2_151_0/
[1] Lectures on elliptic boundary value problems, Van Nostrand, Math. Studies, 2 (1965). | MR | Zbl
,[2] Spectral and scattering theory for Schrödinger operators, Arch. Rational Mech. Anal., 40 (1971), pp. 281-311. | MR | Zbl
- ,[3] Linear operators, Part II, Interscience, New York - London, 1963. | MR | Zbl
- ,[4] Streutheorie für Schrödinger-Operatoren, to appear.
- - - ,[5] Eigenfunction expansions associated with the Schrödinger operators and their applications to scattering theory, Arch. Rational Mech. Anal., 5 (1960), pp. 1-34. | MR | Zbl
,[6] Growth properties of solutions of the reduced wave equation with a variable coefficient, Comm. Pure Appl. Math., 12 (1959), pp. 403-425. | MR | Zbl
,[7] Perturbation theory for linear operators, Springer, 1966. | Zbl
,[8] Some results on potential scattering, Proc. International Conf. Functional Analysis and Related Topics, Tokyo, 1969, Tokyo University Press, 1970, pp. 206-215. | MR | Zbl
,[9] Scattering theory and perturbation of continuous spectra, Proc. International Congress Math., Nice, 1970, Gauthier-Villars, vol. 1 (1971), pp. 135-140. | MR | Zbl
,[10] Theory of simple scattering and eigenfunction expansions, Functional Analysis and Related Fields, edited by F. E. Browder, Springer, 1970, pp. 99-131. | MR | Zbl
, -[11] On the existence and the unitary property of the scattering operator, Nuovo Cimento, 12 (1959), pp. 431-454. | Zbl
,[12] Spectral representations and the scattering theory for Schrödinger operators, Proc. International Congress Math., Nice, 1970, Gauthier-Villars, vol. 2 (1971), pp. 441-445. | MR | Zbl
,[13] Scattering theory for differential operators - I: Operator theory, J. Math. Soc. Japan, 25 (1973), pp. 75-104. | MR | Zbl
,[14] Scattering theory for differential operators - II : Self-adjoint elliptic operators, J. Math. Soc. Japan, 25 (1973), pp. 222-234. | MR | Zbl
,[15] Problèmes aux limites non homogènes et applications, vol. 1, Ed. Dunod, Paris, 1968. | MR | Zbl
- ,[16] Singular points of complex hypersurfaces, Ann. Math. Studies, vol. 61, Princeton University Press and the University of Tokyo Press, Princeton, 1968. | MR | Zbl
,[17] The expansion of arbitrary functions in terms of eigenfunctions of the operator -Δu + cu, Math. Sbornik, 32 (1953), pp. 109-156; A.M.S. Translations, Series 2, 60 (1967), pp. 1-49. | Zbl
,[18] Some potential perturbations of the Laplacian, Helvetica Physica. Acta, 44 (1971), pp. 708-736. | MR
,[19] Spectra of partial differential operators, North Holland, 1971. | MR | Zbl
,[20] Scattering theory for elliptic operators of arbitrary order, Comm. Mat. Helvetici, 49 (1974), pp. 84-113. | MR | Zbl
,[21] Eigenfunction expansions and scattering theory for wave propagation problems of classical physics, Arch. Rational Mech. Anal., 46 (1972), pp. 280-320. | MR | Zbl
- ,[22] Eigenfunction expansions and scattering theory for perturbations of - Δ, The Rocky Mountain J. of Math., 1 (1971), pp. 89-125. | Zbl
- ,[23] Eigenfunction expansions associated with Schrödinger operators in Rn, n ≽ 4, Arch. Rational Mech. Anal., 26 (1967), pp. 335-356. | Zbl
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