List of publications by GESTUR OLAFSSON

All preprints and some of the papers can be viewed on the departmental preprint server.
 

(With J. Hilgert) Causal Symmetric Spaces, Geometry and Harmonic Analysis. Perspectives in Mathematics 18, Academic Press, 199. To download table of contents and introduction: dvi, ps, and pdf formats are available

1. (with N. B. Andersen and H. Schlichtkrull) On the inversion of the Laplace and Abel transforms for causal symmetric spaces. Preprint 2000. Submitted. Download: dvi, ps, and pdf formats are available
2. (with R. Fabec) Fock spaces corresponging to positive definite linear transformations. Preprint 2000. Submitted. Download: ps, and pdf formats are available
3. (with A. Pasquale) On the meromorphic extension of the spherical functions on noncompactly causal symmetric spaces. To appear in Journal of Functional Analysis. Download: dvi, ps, and pdf formats are available.
4. Analytic Continuation in Representation Theory and Harmonic Analysis. To appear in: Seminaires et Congres, vol 4, Global Analysis and Harmonic Analysis, edited by J. P. Bourguignon, T. Branson and O. Hijazi. the French Mathematical Society. Download: dvi, ps, and pdf formats are available
5. (with P. Jorgensen) Osterwalder-Schrader Axioms - Wightman Axioms. Encyclopedia of Mathematics, 2000. Download: dvi, ps, and pdf formats are available.
6. The c-function for a semisimple symmetric space. Submitted, 2000. Download: dvi, ps, and pdf formats are available.
7. (with P. Jorgensen) Unitary Representations and Osterwalder--Schrader Duality. In: Ed. R.S. Doran, V.S. Varadarajan: The Mathematical Legacy of Harish-Chandra: A Celebration of Representation Theory and Harmonic Analysis. PSPM, AMS. Download: dvi, ps, and pdf formats are available.
8. (with B. Orsted) Causal Compactification and Hardy Spaces. Trans. AMS 351 (1999) 3771--3792
9. (with A. Neumann) Minimal and Maximal Semigroups Related to Causal Symmetric Spaces. Semigroup Forum, 61 (2000) 57-85. Download: dvi, ps, and pdf formats are available
10. (with T. Branson) Asymptotics of the D'Alembertian with Potential on a Pseudo-Riemannian Manifold. Proceedings of the AMS 127 (1999), 1339--1345
11. (with N. Andersen) A Paley-Wiener Theorems for the Spherical Laplace Transform on Causal Symmetric Spaces of Rank One. Proceedings of the AMS. Download: dvi, ps, and pdf formats are available
12. (with A.G. Helminck, J. Hilgert, A. Neumann) A Conjugacy Theorem for Symmetric Spaces. Mathematische Annalen 313 (1999), 785--791. Download: dvi, ps, and pdf formats are available
13. Unitary Representations with Reflection Symmetry. In: Proceedings of an International Workshop on Lie Theory and its applications in physics. Ed. H-D. Dobner, V.K. Dobrev, J. Hilgert. World Scientific, 1999. Download: dvi, ps, and pdf formats are available.
14. (with B. Kr\"otz) The c-function for non-compactly causal symmetric spaces. Preprint, March 1999. Download: dvi, ps, and pdf formats are available
15. (with B. Kr\"otz and K-H. Neeb) Spherical Functions on Mixed Symmetric Spaces. Preprint 1998. Download: dvi
16. (with F. Betten) Causal Compactification and Hardy Spaces for Spaces of Hermitian Type. To appear in Pacific Journal of Mathematics. Download: dvi, ps, and pdf formats are available
17. (with P. Jorgensen) Unitary Representations of Lie Groups with Reflection Symmetry. J. Funct. Anal. 158 26-88 (1998)
18. Open Problems in Harmonic Analysis on Causal Symmetric Spaces. p. 249-270 In: Positivity in Lie Theory; Open Problems. Ed. J. Hilgert, J. D. Lawson, K-H. Neeb, E. B. Vinberg, De Gruyter 1998. Download: dvi, ps, and pdf formats are available.
19. Spherical Functions and Spherical Laplace Transform on Odred Symmetric Spaces. Preprint 1997. Download: dvi, ps, and pdf formats are available.
20. (with B. Kr\"otz and K-H. Neeb) Spherical Representations and Mixed Symmetric Spaces. Representation Theory 1, 424-461 (1997). Download the introduction: dvi, ps, and pdf formats are available.
21. (with T. Branson and B. Orsted): Spectrum Generating Operators, and Intertwining Operators for Representations Induced from a maximal Parabolic Subgroup. J. Funct. Anal. 135 (1996) 163-205
22. (with B. Orsted) Generalization of the Bargmann Transform. Proceedings of a ``Workshop on Lie Theory and its Applications in Physics'' Clausthal, August 1995. Ed. Dobrev, Dobner, Hilgert. 1996
23. (with T. Branson and H. Schlichtkrull): Huyghens' Principle in Riemannian Symmetric Spaces. Math. Ann. 301, 445-462 (1995)
24. (with J. Faraut and J. Hilgert): Spherical functions on ordered symmetric spaces. Ann. Inst. Fourier 44 (1994), 927-966
25. (with T. Branson): Helmholtz Operators and Symmetric Space Duality. Invent. Math. 129, 63-74 (1997). Download: dvi, ps, and pdf formats are available
26. (with J. Faraut): Causal Semisimple Symmetric Spaces: The Geometry and Harmonic Analysis. In: Ed. Hofmann, Lawson, Vinberg: ``Semigroups in Algebra, Geometry and Analysis'', 3-32, 1995
27. (with T. Branson and H. Schlichtkrull): A bundle valued Radon transform, with applications to invariant wave equations. Quart. J. Math. Oxford 45 (1994) 429-461.
28. (with J. Hilgert) Analytic extensions of representations, the solvable case. Jap. Journ. Math. 18 (1993) 213-290
29. Book review: `Lie Groups, Convex Cones and Semigroups', by J. Hilgert, K.H. Hofmann and J.D.Lawson. Oxford Univ. Press. 1989. Jahresbericht der DMV 95, (1992), 5-8
30. (with B. Orsted) Analytic continuation of Flensted-Jensen Representation. Manuscripta Math. 74 (1992), 5-23
31. (with H. Schlichtkrull) Wave propagation on Riemannian symmetric space. J. Funct. Anal. 107 (1992) 270-278
32. (with T. P. Branson) Equipartition of Energy for Waves in Symmetric Spaces. J. Funct. Anal. 97 (1991), 403-416
33. (with J. Hilgert and B. Orsted) Hardy Spaces on Affine Symmetric Spaces. J. reine und angew. Math. 415 (1991), 189-218
34. (with B. Orsted) The holomorphic discrete series of an affine symmetric space and representations with reproducing kernels, Trans. Amer. Math. Soc. 326 (1991), 385-405
35. Symmetric Spaces of Hermitian Type. Differential Geometry and Applications 1 (1991), 195-233
36. (with B. Orsted) Is there an orbit method for affine symmetric spaces? In: The Orbit Method in Representation Theory, Proceedings of a Conference held in Copenhagen August to September 1988, Ed. M. Duflo, N.V. Pedersen, M. Vergne. Birkhauser, 1990
37. (Habilitation) Causal symmetric spaces. Mathematica Gottingensis 15 (1990)
38. (with B. Orsted) The holomorphic discrete series for affine symmetric spaces I. Journal of Funct. Anal. 81 (1988), 126-159.
39. Fourier and Poisson transformation associated to a semisimple symmetric space. Invent. Math. 90 (1987) 605-629.
40. Die Langlands-Parameter fur die Flensted-Jensensche fundamentale Reihe. Math. Scand. 55 (1984) 229-244
41. Ph D Thesis, Die Langlands-Klassifizierung, unitare Darstellungen und die Flensted-Jensensche fundamentale Reihe. Gottingen, 1982.

  last updated, Oct 4, 2000