Asymptotic and analytic properties of resonance functions

Erik Balslev; Erik Skibsted

Annales de l'I.H.P. Physique théorique (1990)

  • Volume: 53, Issue: 1, page 123-137
  • ISSN: 0246-0211

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Balslev, Erik, and Skibsted, Erik. "Asymptotic and analytic properties of resonance functions." Annales de l'I.H.P. Physique théorique 53.1 (1990): 123-137. <http://eudml.org/doc/76492>.

@article{Balslev1990,
author = {Balslev, Erik, Skibsted, Erik},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {resonances; Schrödinger operators; dilation-analytic; short-range; exponentially decaying potential},
language = {eng},
number = {1},
pages = {123-137},
publisher = {Gauthier-Villars},
title = {Asymptotic and analytic properties of resonance functions},
url = {http://eudml.org/doc/76492},
volume = {53},
year = {1990},
}

TY - JOUR
AU - Balslev, Erik
AU - Skibsted, Erik
TI - Asymptotic and analytic properties of resonance functions
JO - Annales de l'I.H.P. Physique théorique
PY - 1990
PB - Gauthier-Villars
VL - 53
IS - 1
SP - 123
EP - 137
LA - eng
KW - resonances; Schrödinger operators; dilation-analytic; short-range; exponentially decaying potential
UR - http://eudml.org/doc/76492
ER -

References

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  1. [1] S. Agmon, On the asymptotic behaviour of solutions of schrödinger type equations in unbounded domains, Anal. Math. Appl., J.-L. Lions' 60th birthday volume, Paris1988. Zbl0681.35010MR956950
  2. [2] J. Aguilar and J.-M. Combes, A class of analytic perturbations for one-body Schrödinger Hamiltonians, Commun. Math. Phys., Vol. 22, 1971, pp. 269-279. Zbl0219.47011MR345551
  3. E. Balslev and J.-M. Combes, Spectral properties of manybody Schrödinger operators with dilation-analytic interactions, Comm. Math. Phys., Vol. 22, 1971, pp. 280-294. Zbl0219.47005MR345552
  4. [3] E. Balslev, Analytic scattering theory of two-body Schrodinger operators, J. Funct. Anal., Vol. 29, 3, 1978, pp. 375-396. Zbl0392.47003MR512251
  5. [4] E. Balslev, Asymptotic properties of resonance functions and generalized eigenfunctions, Lectures of the Nordic Summer School on Schrödinger Operators1988, in Springer Verlag, Lect. Notes Math., University of Virginia preprint. MR1037316
  6. [5] E. Balslev and E. Skibsted, Resonance theory of two-body Schrödinger operators, Ann. Inst. H. Poincaré, Vol. 51, 2, 1989. Zbl0714.35063MR1033614
  7. [6] W. Hunziker, Distortion analyticity and molecular resonance curves, Ann. Inst. H. Poincaré, Vol. 48, 4, 1986, pp. 339-358. Zbl0619.46068MR880742
  8. [7] J.L.W.V. Jensen, Sur les fonctions convexes et les inegalités entre les valeurs moyennes, Acta Math., Vol. 30, 1906, pp. 175-193. Zbl37.0422.02JFM37.0422.02
  9. [8] E. Skibsted, On the evolution of resonance states, J. Math. Anal. Appl., Vol. 141, No. 1, 1989, pp. 27-48. Zbl0688.47006MR1004582

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