List of publications

by Leonid Friedlander

  1. L.Friedlander, Convergence of series in the root functions of nearly selfadjoint operators in the spaces C and Lp, Funct. Anal. and Appl. 11(4), 1977, 94--95
  2. L.Friedlander, Analytical perturbations of selfadjoint analytic elliptic pseudodifferential operators, Funct. Anal. and Appl. 12(3), 1978, 93--95
  3. L.Friedlander, Sur le spectre de la perturbation faible d'un operateur auto-adjoint, C.R.Acad.Sci. Paris, Ser I Math. 293(9), 1981, 465--468
  4. L.Friedlander, On certain spectral properties of very weak nonselfadjoint perturbations of selfadjoint operators, Transactions of the Moscow Math. Soc., 1982, Is. 1, 185--218
  5. L.Friedlander, An Invariant Measure for the Equation utt -uxx+u3=0, Commun. Math. Phys. 98, 1985, 1--16
  6. L.Friedlander, A summation method for the Rayleigh--Schrödinger series for the anharmonic oscillator, J. Math. Phys., 26(5), 1985, 961--964
  7. L.Friedlander, The asymptotics of the determinant function for a class of operators, Proc. Amer. Math. Soc., 107, 1989, 169--178
  8. L.Friedlander, Asymptotic behavior of the eigenvalues of the p-Laplacian, Commun. in PDE, 14, 1989, 1059--1069
  9. L.Friedlander, On the spectrum of the periodic problem for the Schrödinger operator, Commun. in PDE, 15, 1990, 1631--1647
  10. D.Burghelea, L.Friedlander, T.Kappeler, On the determinant for elliptic differential operators in vector bundles over S1, Commun. Math. Phys., 138, 1--18 (1991)
  11. L.Friedlander, Creation and annihilation operators for the anharmonic oscillator, Proc. Amer. Math. Soc., 167, 425--433 (1991)
  12. L.Friedlander, Some inequalities between Dirichlet and Neumann eigenvalues, Archive for Rational Mechanics and Analysis, 116, 153--160 (1991)
  13. D.Burghelea, L.Friedlander, T.Kappeler, Meyer--Vietoris type formula for determinants of elliptic operators, Journal of Functional Analysis, 107, 34--65(1992)
  14. L.Friedlander, On the second eigenvalue of the Dirichlet Laplacian, Israel Journal of Mathematics, 79, 23--32(1992)
  15. D.Burghelea, L.Friedlander, T.Kappeler, Regularized determinants for pseudodifferential operators in vector bundles over S1, Integral Equations and Operator Theory, 16, 496--513(1993)
  16. D.Burghelea, L.Friedlander, T.Kappeler, P.McDonald, On the functional logdet and related flows on the space of closed embedded curves on S2, Journal of Functional Analysis, 120, 440--466(1994)
  17. L.Friedlander, Remarks on the Dirichlet and Neumann eigenvalues, American Journal of Mathematics, 117, 257--262(1995)
  18. D.Burghelea, L.Friedlander, T.Kappeler, On the determinants of elliptic boundary value problems on a line segment, Proceedings of AMS, 123, 30027--3038(1995)
  19. D.Burghelea, L.Friedlander, T.Kappeler, Asymptotic expansion of the Witten deformation of the analytic torsion, Journal of Functional Analysis, 137, 320--363(1996)
  20. D.Burghelea, L.Friedlander, T.Kappeler, P.McDonald, Analytic and Reidemeister torsion for representations of finite type Hilbert modules, GAFA, 6, 751--859(1996)
  21. D.Burghelea, L.Friedlander, T.Kappeler, Witten deformation of the analytic torsion and the Reidemeister torsion, Amer. Math. Soc. Transl., 184, 23--39(1998)
  22. L.Friedlander, A.Schwarz, Grassmanian and Elliptic Operators, Contem. Math., 227, 79--88(1998)
  23. D.Burghelea, L.Friedlander, T.Kappeler, Torsions for manifolds with boundary and glueing formulas, Math. Nachr., 208, 31--91(1999)
  24. D.Burghelea, L.Friedlander, T.Kappeler, Relative torsion for homotopy triangulations, Contem. Math., 231, 37--58(1999)
  25. L.Friedlander, N.Nadirashvili, A differential invariant related to the first eigenvalue of the Laplacian, Int. Math. Res. Notes, 17, 939--952(1999)
  26. L.Friedlander, An inequality between Dirichlet and Neumann eigenvalues in a centrally symmetric domain, Proc. Amer. Math. Society, 129, 2057--2060(2001)
  27. D.Burghelea, L.Friedlander, T.Kappeler, Relative torsion, Commun. in Contem. Math., 3, 15--85(2001)
  28. L.Friedlander, On the density of states of periodic media in largae coupling limit, Commun. in PDE, 27, 355--380(2002)
  29. L.Friedlander, On the spectrum of a class of second order periodic elliptic differential operators, Comm. Math. Physics, 229, 49--55(2002)
  30. L.Friedlander, Absolute continuity of the spectra of periodic waveguides, Contemp. Math., 339, 37--42(2003)
  31. L.Friedlander, Remarks on the membrane and buckling eigenvalues for plane domains, Moscow Math. J., 4, 369--375(2004)
  32. L.Friedlander, Genericity of simple eigenvalues for a metric graph, Israel Journal of Mathematics, 146, 149--156(2005)
  33. L.Friedlander, Extremal properties of eigenvalues for a metric graph Annales de l'Institut Fourier, 55, 199--211(2005)
  34. L.Friedlander, Determinant of the Schrödinger Operator on a Metric Graph Contemporary Mathematics, 415, 151--160(2006)
  35. L.Friedlander, V.Guillemin, Determinants of Zeroth Order Operators, J. Differential Geometry, 78, 1--12(2008)
  36. L.Friedlander, M.Solomyak, On the Spectrum of Narrow Periodic Waveguides, Russian J. of Math. Physics, 15, 238--242(2008)
  37. L.Friedlander, Review of the book "Extremum problems for eigenvalues of elliptic operators", by Antoine Henrot, Bull. Amer. Math. Soc. 45, 335--338(2008)
  38. L.Friedlander, M.Solomyak, On the Spectrum of the Dirichlet Laplacian in a Narrow Infinite Strip, Amer. Math. Soc. Transl., (2)225, 103--116(2008)
  39. L.Friedlander, M.Solomyak, On the spectrum of the Dirichlet Laplacian in a narrow strip , Israel J. Math., 170, 337--354(2009)
  40. D.Burghelea, L.Friedlander, T.Kappeler, On the space of trajectories of a generic gradient like vector field, Anale Univ. Vestdin Timisoara, Ser. Mat.-Inform, XLVIII, 45--126(2010)