A characterisation of dilation-analytic operators

E. Balslev; A. Grossmann; T. Paul

Annales de l'I.H.P. Physique théorique (1986)

  • Volume: 45, Issue: 3, page 277-292
  • ISSN: 0246-0211

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Balslev, E., Grossmann, A., and Paul, T.. "A characterisation of dilation-analytic operators." Annales de l'I.H.P. Physique théorique 45.3 (1986): 277-292. <http://eudml.org/doc/76339>.

@article{Balslev1986,
author = {Balslev, E., Grossmann, A., Paul, T.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {dilation-analytic operators; new representation of quantum mechanics on a space of analytic functions on the upper half-plane to a Hilbert space; analytic continuation properties of the integral kernel; dilation- analytic vectors; integral operator in momentum space},
language = {eng},
number = {3},
pages = {277-292},
publisher = {Gauthier-Villars},
title = {A characterisation of dilation-analytic operators},
url = {http://eudml.org/doc/76339},
volume = {45},
year = {1986},
}

TY - JOUR
AU - Balslev, E.
AU - Grossmann, A.
AU - Paul, T.
TI - A characterisation of dilation-analytic operators
JO - Annales de l'I.H.P. Physique théorique
PY - 1986
PB - Gauthier-Villars
VL - 45
IS - 3
SP - 277
EP - 292
LA - eng
KW - dilation-analytic operators; new representation of quantum mechanics on a space of analytic functions on the upper half-plane to a Hilbert space; analytic continuation properties of the integral kernel; dilation- analytic vectors; integral operator in momentum space
UR - http://eudml.org/doc/76339
ER -

References

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  1. [1] J. Aguilar and J.M. Combes, A class of analytic perturbations for one-body Schrödinger Hamiltonians, Comm. Math. Phys., t. 22, 1971, p. 269-279. Zbl0219.47011MR345551
  2. [2] E. Balslev and J.M. Combes, Spectral properties of many-body Schrödinger operators with dilation-analytic interactions, Comm. Math. Phys., t. 22, 1971, p. 280-299. Zbl0219.47005MR345552
  3. [3] D. Babbitt and E. Balslev, A characterisation of dilation-analytic potentials and vectors, J. Funct. Analysis, t. 18, 1975, p. 1-14. Zbl0304.47009MR384008
  4. [4] A. Dionisi Vici, A characterisation of dilation analytic integral kernels, Lett. Math. Phys., t. 3, 1979, p. 533-541. Zbl0434.47039MR555337
  5. [5] T. Paul, Functions analytic on the half-plane as quantum mechanical states, J. Math. Phys., t. 25, 1984, p. 3252-3263. MR761848
  6. [6] T. Paul, Affine coherent states for the radial Schrödinger equation 1. Radial harmonic oscillator and hydrogen atom. Preprint CPT 84/P. 1710, Marseille. Submitted to Ann. I. H. P. 
  7. [7] J. Weidmann, Linear Operators in Hilbert Spaces, Springer Verlag, 1980. Zbl0434.47001MR566954

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