Resonance theory of two-body Schrödinger operators

 Access to full text

 Full (PDF)

1. [1] S. Agmon, Spectral properties of Schrödinger operators and scattering theory, Ann. Scuola Norm. Sup. di Pisa, Vol. 4, 2, 1975, pp. 151-218. Zbl0315.47007MR397194
2. [2] S. Agmon, A representation theorem for solutions of the Helmholtz equation and resolvent estimates for the Laplacian, in Jürgen Moser 60th birthday volume (to appear). Zbl0704.35018MR1039339
3. [3] P. Alsholm and G. Schmidt, Spectral and scattering theory for Schrödinger operators, Arch. Rat. Mech. Anal., Vol. 40, 1971, pp. 281-311. Zbl0226.35076MR279631
4. [4] E. Balslev, Analytic scattering theory of two-body Schrödinger operators, J. Funct. Anal., Vol. 29, 3, 1978, pp. 375-396. Zbl0392.47003MR512251
5. [5] E. Balslev, Analyticity properties of Eigenfunctions and Scattering Matrix, Comm. Math. Phys. vil., Vol. 114, No. 4, 1988, pp. 599-612. Zbl0662.35079MR929132
6. [6] E. Balslev, Asymptotic properties of resonance functions and generalized eignenfunctions, in Schrödinger operators, Nordic Summer School, 1988, Springer Lecture Notes in Mathematics (to appear). Zbl0702.35194MR1037316
7. [7] E. Balslev and E. Skibsted, Resonance theory for two-body Schrödinger operators, Aarhus Universitet Preprint, Series 1987-1988, No. 7. Zbl0714.35063
8. [8] E. Balslev and E. Skibsted, Analytic and asymptotic properties of resonance functions (to appear). Zbl0713.35067
9. [9] U. Greifenegger, K. Jörgens, J. Weidmann and M. Winkler, Streutheorie für Schrödinger Operatoren, 1972 (preprint). 
10. [10] T. Ikebe and Y. Saito, Limiting absorption method and absolute continuity, J. Math. Kyoto Univ., Vol. 12, 1972, pp. 513-542. Zbl0257.35022MR312066
11. [11] T. Kako and K. Yajima, Spectral and scattering theory for a class of non-self adjoint operators, Sci. Papers College Gen. Ed. Univ. Tokyo, Vol. 26, 1976, pp. 73-89. Zbl0349.47010MR500220
12. [12] S.T. Kuroda, Scattering theory for differential operators I, J. Math. Soc. Japan, Vol. 25, 1973, pp. 75-104. Zbl0245.47006MR326435
13. [13] S.T. Kuroda, An introduction to scattering theory, Lect. Notes, Vol. 51, 1980, Matematisk Institut, Aarhus. Zbl0407.47003MR528757
14. [14] Y. Saito, Extended limiting absorption method and analyticity of the S-matrix, J. f. d. reine u. angewdt. Math., Vol. 343, 1983, pp. 1-22. Zbl0506.35025MR705874
15. [15] N. Shenk and D. Thoe, Eigenfunction expansions and scattering theory for parturbations of -Δ, Rocky Mountain J. Math., Vol. 1, 1971, pp. 89-125. Zbl0254.47017MR287189
16. [16] E. Skibsted, On the evolution of resonance states, J. Math. Anal. Appl. Vol. 141, No 1, 1989, pp. 28-48. Zbl0688.47006MR1004582

1. Erik Balslev, Erik Skibsted, Asymptotic and analytic properties of resonance functions
2. Alain Grigis, Frédéric Klopp, Valeurs propres et résonances au voisinage d'un seuil