Gurarie's home

Publications:

SPECTRAL THEORY, INVERSE PROBLEMS, QUANTIZATION

(1985-1995)


  1. D. Gurarie, Quantized Neumann problem, separable potentials on the sphere and the Lame equation, J. Math. Phys. 36, 1995, no. 10, 5355-5391 (pdf)

  2. D. Gurarie, Semiclassical eigenvalues and shape problems on surfaces of revolution, J. Math. Phys., 36, 1995, no. 4, 1934-1944 (pdf,)

  3. D. Gurarie, Spectral geometry in higher ranks: closed geodesics and flat tori, Proc. of Symposia in Pure Math., v.54 (3), 1993, 387-407.

  4. D. Gurarie, Closed geodesics and flat tori in spectral theory on symmetric spaces, Seminar de Theorie spectrale et geometrie, n 11, 1993.
  5. D. Gurarie, Inverse spectral Problem, in ''40 more Years of Ramifications: spectral asymptotics and its applications'', S. Fulling, F. Narkowitz, ed., 1991, 77-99. pdf
  6. D. Gurarie, Multiparameter averaging and inverse spectral problem for anharmonic oscillators in R^n, Comp. & Math. with Appl., 22, no. 4/5, 1991, 81-92
  7. D. Gurarie, Stability and instability of Lp-spectra of differential operators, J. Oper. Theory, 23, 1990, 147-152.
  8. D. Gurarie, Two-sphere Schroedinger operators with odd potentials, Inverse Problems, 3, 1990; 371- 378 (pdf).
  9. D. Gurarie, Zonal Schroedinger operators on the n-sphere: inverse spectral problem and rigidity, Com. Math. Phys., 131, 1990, 571-603 (pdf)
  10. D. Gurarie, Asymptotic inverse spectral problem for anharmonic oscillators with odd potentials, Inverse Problems, 5, 1989, 293-306 (pdf).
  11. D. Gurarie, Lp and spectral theory for a class of global elliptic operators on R^n, J. Oper. Theory, 19, 1988, 243-274.
  12. D. Gurarie, Averaging methods in spectral theory of Schroedinger operators, Maximal principles and Eigenvalue problems in Diff. Eq-ns, P.W. Schaefer, ed-s. Pittman Research Notes, 175, 1988, 167-177 (pdf)
  13. D. Gurarie, Inverse spectral problem for the 2-sphere Schroedinger operators with zonal potentials, Let. Math. Phys., 16, 1988, 313-323.
  14. D. Gurarie, F. Gesztesy, H. Holden, M. Klaus, L. Sadun, B. Simon, and P. Vogl, Trapping and cascading of eigenvalues in the large coupling limit, Com. Math. Phys., 118, 1988, 597- 634.
  15. D. Gurarie, On Lp-spectrum of elliptic operators, J. Math. Anal. and Appl., 1, 1985, 223- 229.
  16. D. Gurarie, Asymptotic inverse spectral problem for anharmonic oscillators, Com. Math. Phys., 112, 1987, 491-502.
  17. D. Gurarie, Non classical eigenvalues asymptotics for operators of Schroedinger type, Bull. AMS, 1986, v. 15, 233-237 (pdf).

Book

D. Gurarie, Symmetries and Laplacians: Introduction to Harmonic Analysis, Group representations and applications, North Holland Mathematics Studies vol. 174. 1992

New paperback edition - Dover 2008