Eigenmodes of lens and prism spaces

Kodai Mathematical Journal

Volumn 26, Issue 1, 2003, Pages 119-136

  Lehoucq, Roland ^a   Uzan, Jean Philippe ^b,c   Weeks, Jeffrey ^d  

^a CEA SACLAY   (France)

^b INSTITUT D'ASTROPHYSIQUE DE PARIS   (France)

^c UNIVERSITÉ PARIS SUD   (France)

^d NONE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84990875881     PISSN: 03865991     EISSN: None     Source Type: Journal    
DOI: 10.2996/kmj/1050496653     Document Type: Article

References (14)

1. J. P. LUMINET, G. D. STARKMAN AND J. R. WEEKS, Is space finite?, Scientific American, April 1999 [http://www.sciam.com/1999/0499issue/0499weeks.html].
2. N. J. CORNISH AND J. R. WEEKS, Measuring the shape of the universe, Notices Amer. Math. Soc., 45 (1998), 1463–1471 [astro-ph/9807311].
3. J. P. LUMINET, L'Univers chiffonneé, Fayard, Paris, 2001.
4. N. J. CORNISH, D. N. SPERGEL AND G. D. STARKMAN, Circles in the sky: finding topology with the microwave background radiation, Classical Quantum Gravity, 15 (1998), 2657–2670 [astro-ph/9801212].
5. R. LEHOUCQ, M. LACHIÈZE-REY AND J. P. LUMINET, Cosmic crystallography, Astron. Astrophys., 313 (1996), 339–346 [gr-qc/9604050].
6. A. H. JAFFE et al., Cosmology from MAXIMA-1, BOOMERANG, and COBE/DMR cosmic microwave background observations, Phys. Rev. Lett., 86 (2001), 3475–3479 [astro-ph/0007333].
7. E. GAUSMANN, R. LEHOUCQ, J. P. LUMINET, J. P. UZAN AND J. WEEKS, Topological lensing in spherical spaces, Classical Quantum Gravity, 18 (2001), 5155–5186 [gr-qc/0106033].
8. J. LEVIN, Topology and the cosmic microwave background, Phys. Rep., 365 (2002), 251–333 [gr-qc/0108043].
9. A. IKEDA AND Y. YAMAMOTO, On the spectra of 3-dimensional lens spaces, Osaka J. Math., 16 (1979), 447–469.
10. M. BERGER, P. GAUDUCHON ET E. MAZET, Le Spectre d'une Variété Riemannienne, Lecture Notes in Math. 194, Springer-Verlag, Berlin, 1971.
11. E. M. STEIN AND G. WEISS, Introduction to Fourier Analysis on Euclidean Spaces, Princeton Mathematical Series 32, Princeton University Press, Princeton, 1971.
12. S. M. SELBY (Ed.), CRC Standard Mathematical Tables, 19th edition, Chemical Rubber Company, Cleveland, 1971.
13. M. ABRAMOWITZ AND I. A. STEGUN (Eds.), Handbook of Mathematical Functions, with Formulas, Graphs, and Mathematical Tables, Dover Publications, New York, 1972.
14. A. IKEDA, On the spectrum of homogeneous spherical space forms, Kodai Math. J., 18 (1995), 57–67.