Skip to main content
Log in

Représentations relativement équivalentes et variétés riemanniennes isospectrales

  • Published:
Commentarii Mathematici Helvetici

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  • [Bé1]Bérard P. Variétés riemanniennes isospectrales non isométriques, Astérisque,177–178 (1989), 127–154.

  • [Bé2]Bérard P. Transplantation et isospectralité I, Math. Ann.,292 (1992), 547–559.

    Article  MathSciNet  MATH  Google Scholar 

  • [Bé3]Bérard P. Transplantation et isospectralité II, J. London Math. Soc.,48 (1993), 565–576.

    MathSciNet  MATH  Google Scholar 

  • [Bé-B]Bérard P. &Besson G. Spectres et groupes cristallographiques II: domaines sphériques Ann. Inst. Fourier,30 (1980), 237–248.

    MATH  Google Scholar 

  • [Bo]Bourbaki N. Elements de mathématique: groupes et algèbre de Lie, Chapitre 9, Masson, Paris, 1982.

    Google Scholar 

  • [DT-G]Deturck D. &Gordon C. Isospectral deformations II. Trace Formulas, metrics and potentials, Comm. Pure Appl. Math.,42 (1989), 1067–1095.

    MathSciNet  MATH  Google Scholar 

  • [D1]Donnelly H. Asymptotic expansions for compact quotients of properly discontinuous group actions, Illinois J. Math.,23 (1979), 485–496.

    MathSciNet  MATH  Google Scholar 

  • [D2]Donnelly H. G-spaces, the asymptotic Splitting of L 2 (M) into irreducibles, Math. Ann.,237 (1978), 23–40.

    Article  MathSciNet  Google Scholar 

  • [G-G-P]Gelfand I.M. &Graev M. I. &Piatecki-Shapiro I. I. Generalized functions, vol. 6: Group representations and automorphis functions, Moskwa, Nauka, 1966.

    Google Scholar 

  • [G-W]Gordon, C. &Webb D. Isospectral Convex Domains in Euclidean Space, Math. Res. Lett.,1 (1994), 539–545.

    MathSciNet  MATH  Google Scholar 

  • [H]Helgason S. Groups and geometric analysis: integral geometry, invariant differential operators and spherical functions, Acad. Press, N.Y., 1984.

    MATH  Google Scholar 

  • [I]Ikeda A. Riemannian manifolds p-isospectral but not (p+1)-isospectral, in Geometry of Manifolds (Matsumoto), Perspect. Math.,8 (1988), 383–417.

    Google Scholar 

  • [J-L]Jacquet H. & Langlands R. Automorphics forms on GL(2), Lectures Notes in Mathematics 114 (Springer), 1970.

  • [K]Koornwinder T. H. Jacobi functions and analysis on non compact semi-simple Lie groups, in Special functions: group theoretical aspects and applications 1–85, Reidel, Dordrecht-Boston, 1984.

    Google Scholar 

  • [M]Mackey G. Induced representations of Groups and Quantum Mechanics, W. A. Benjamin, N.Y., 1968.

    MATH  Google Scholar 

  • [P1]Pesce H Représentations de groupes et variétés isospectrales, Contemp. Math.,173 (1994), 231–240.

    MathSciNet  Google Scholar 

  • [P2]Pesce H. Variétés hyperboliques et elliptiques fortement isospectrales, à paraître dans J. Funct. Anal.

  • [S]Sunada T. Riemannian coverings and isospectral manifolds, Ann. of Math.,121 (1985), 169–186.

    Article  MathSciNet  Google Scholar 

  • [U]Urakawa H. Bounded domains which are isospectral but non isométric, Ann. Sci. Ecole Norm. Sup.,15 (1982), 441–456.

    MathSciNet  MATH  Google Scholar 

  • [Wal]Wallach, N. On the Selberg trace formula in the case of compact quotient Bull. Amer. Math. Soc.,82 (1976), 171–195.

    Article  MathSciNet  MATH  Google Scholar 

  • [War]Warner G. Harmonic Analysis on semi-simple Lie groups, Springer, 1972.

  • [Z]Zelditch S. On the generic spectrum of a Riemannian covering, Ann. Inst. Fourier,40 (1990), 407–442.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pesce, H. Représentations relativement équivalentes et variétés riemanniennes isospectrales. Commentarii Mathematici Helvetici 71, 243–268 (1996). https://doi.org/10.1007/BF02566419

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02566419

Navigation