A. Thesis

Integralgleichungen mit variablen Grenzen für spezielle Funktionen der mathematischen Physik, 86 pages, Konstanz, May 1979.

B. Book

Multiparameter eigenvalue problems and expansion theorems, Lecture Notes in Mathematics 1356, 157 pages, Springer, New York Heidelberg Berlin 1988. (MR 90d:47021)

C. Journal articles published

  1. Integralgleichungen mit variablen Grenzen für spezielle Funktionen der mathematischen Physik, J. Reine Angew. Math. 319, 118-132 (1980). (MR 82d:33017)
  2. On multiparameter theory, J. Math. Anal. Appl. 86, 44-53 (1982). (MR 83g:47018)
  3. with Hans Weber: A unified treatment of vector integration, Comment. Math. Univ. Sanct Pauli 31, 33-48 (1982). (MR 84g:28011)
  4. Integral relations for Lamé functions, SIAM J. Math. Anal. 13, 978-987 (1982). (MR 84b:33010)
  5. Integralgleichungen für periodische Lösungen Hillscher Differentialgleichungen, Analysis 3, 189-203 (1983). (MR 85h:34035)
  6. with Hans Weber: Der Wertebereich atomloser Inhalte, Arch. Math. 40, 464-474 (1983). (MR 84k:28005)
  7. On the completeness of eigenvectors of right definite multiparameter problems, Proc. Roy. Soc. Edinburgh 96A, 69-78 (1984). (MR 86a:47014)
  8. Integral representations for products of Lamé functions by use of fundamental solutions, SIAM J. Math. Anal. 15, 559-569 (1984). (MR 85d:33026)
  9. with Hans Weber: A new approach to integral representations of linear operators, Bolletino U.M.I. (6) 3-B, 171-197 (1984). (MR 85f:47036)
  10. with R. Schäfke: A note on the paper ``Existence conditions for eigenvalue problems generated by compact multiparameter operators'' by P. Binding, P. J. Browne and L. Turyn, Proc. Roy. Soc. Edinburgh 101A, 147-148 (1985). (MR 87h:47046)
  11. with P. Binding: Existence and uniqueness of indexed multiparametric eigenvalues, J. Math. Anal. Appl. 116, 131-146 (1986). (MR 88a:47021)
  12. with R. Schäfke: On the reduction of the Poincare rank of singular systems of ordinary differential equations, J. Reine Angew. Math. 365, 80-96 (1986). (MR 87g:34010)
  13. On the minimal eigenvalue of a positive definite operator determinant, Proc. Roy. Soc. Edinburgh 103A, 201-208 (1986). (MR 88b:15021)
  14. On an expansion theorem of F. V. Atkinson and P. Binding, SIAM J. Math. Anal. 18, 1669-1680 (1987). (MR 89d:47032)
  15. with Hans Weber: Nonlinear transformations on spaces of continuous functions, Studia Math. 86, 221-237 (1988). (MR 89d:47146)
  16. with R. Schäfke: Bounds for the eigenfunctions of multiparameter Sturm-Liouville systems, Asymptotic Analysis 2, 139-159 (1989). (MR 91d:34088)
  17. with R. Schäfke: On the formal fundamental solution of a differential equation depending on a parameter, Funkc. Ekvac. 33, 1-17 (1990). (MR 92f:34005)
  18. The expansion of a holomorphic function in a Laplace series, SIAM J. Math. Anal. 21, 771-781 (1990). (MR 91f:33005)
  19. On the regularity of wavelets, IEEE Trans. Information Theory 38, 872-876 (1992). (MR 93f:42058)
  20. with R. Schäfke: Asymptotic analysis of the equichordal problem, J. Reine Angew. Math. 425, 9-60 (1992). (MR 93d:52003)
  21. with G. Walter: Wavelets based on orthogonal basic splines, Applic. Analysis 47, 71-86 (1992). (MR 96c:41021)
  22. with P. Binding: On a problem of R. G. D. Richardson, Proc. Edinburgh Math. Soc. 35, 337-348 (1992). (MR 93k:34181)
  23. with P. Binding: On the geometry of degree conditions in multiparameter oscillation theorems, J. Diff. Integral Equations 6, 277-290 (1993). (MR 93m:34036)
  24. The expansion of a holomorphic function in a series of Lamé products, J. Approx. Theory 75, 167-174 (1993). (MR 95c:32002)
  25. On the differential equation y''+exp(ym-t)=0, Asymptotic Analysis 10, 63-75 (1995). (MR 95m:34024)
  26. Asymptotic regularity of compactly supported wavelets, SIAM J. Math. Anal. 26, 1075-1087 (1995). (MR 96h:42031)
  27. Frames of wavelets in Hardy Space, Analysis 15, 405-421 (1995). (MR 97b:42061)
  28. with Hong-Tae Shim: On the Gibbs phenomenon for wavelet expansions, J. Approx. Theory 84, 74-95 (1996). (MR 97j:42019)
  29. Asymptotic spectrum of multiparameter eigenvalue problems, Proc. Edinburgh Math. Soc. 39, 119-132 (1996). (MR 97b:47015)
  30. with P. Binding: Eigencurves for two-parameter Sturm-Liouville equations, SIAM Rev. 38, 27-48 (1996). (MR 97f:34015)
  31. Quadratic growth of convergence radii for eigenvalues of two-paramter Sturm-Liouville equations, J. Differential Equations 128, 327-345 (1996). (MR 97d:34025)
  32. Sturm-Liouville problems with indefinite weights and Everitt's inequality, Proc. Roy. Soc. Edinburgh 126A, 1097-1112 (1996). (MR 98a:34096)
  33. with R.E. Svetic: On the ultimate Peano derivative, J. Math. Anal. Appl. 218, 439-452 (1998). (MR 99b:26006)
  34. Expansions of analytic functions in spherical harmonics, Complex Variables 35, 213-224 (1998). (MR 99b:33026)
  35. On the growth of convergence radii for the eigenvalues of the Mathieu equation, Math. Nachr. 192, 239-253 (1998). (MR 2000a:34053)
  36. Extending Peano derivatives: necessary and sufficient conditions, Fund. Math. 159, 219-229 (1999). (MR 2000b:26009)
  37. Asymptotics of convergence radii for the two-parameter Airy equation, Dynamics of Continuous, Discrete and Impulsive Systems 5, 31-38 (1999). (MR 2000a:34054)
  38. with P. Binding: A spectrum determined by eigencurves, Math. Nachr. 202, 5-15 (1999). (MR 2000c:47093)
  39. Expansion in products of Heine-Stieltjes polynomials, Constr. Approx. 15, 467-480 (1999). (MR 2000i:33017)
  40. Convexity of the Lyapunov exponent, Linear Algebra Appl. 294, 35-48 (1999). (MR 2001d:82018)
  41. Eigenvalue problems for Bessel's equation and zero-pairs of Bessel functions, Studia Sci. Math. Hung. 35, 261-280 (1999). (MR 2001g:33012)
  42. with R. Swanson: Invariants of weak equivalence in primitive matrices, Ergodic Theory Dynam. Systems 20, 611-626 (2000). (MR 2001h:37034)
  43. Convergence radii for eigenvalues of two-parameter Sturm-Liouville problems, Analysis 20, 225-236 (2000). (MR 2002a:34034)
  44. with R. Svetic: The minimal Denjoy index of symmetric perfect sets, Real Analysis Exchange 25, 329-342 (1999/2000). (MR 2001c:26001)
  45. with X. He: Riesz bases of solutions of Sturm-Liouville equations, J. Fourier Anal. Appl. 7 (2001), 297-307. (MR 2002b:42046)
  46. with G. G. Hamedani: Certain characterizations of normal distribution via transformations, J. Multivariate Anal. 77 (2001), 286-294. (MR 2002e:62008)
  47. with P. Binding: Existence of asymptotics of eigenvalues of indefinite systems of Sturm-Liouville and Dirac type, J. Differential Equations 172 (2001), 116-133. (MR 2002d:34152)
  48. with R. Svetic: The Denjoy index and symmetric perfect sets: Ital. J. Pure Appl. Math. 9 (2001), 153-164. (MR 2002f:26002)
  49. with X. He and E. Key: Perturbation of orthonormal bases in L2-spaces, Integral Equations Operator Theorey 41 (2001), 396-409. (MR 2002g:42041)
  50. On some conjectures of Askey, Asymptot. Anal. 27 (2001), 321-334. (MR 2003k:33030)
  51. with P. Binding: Oscillation theory for Sturm-Liouville problems with indefinite coefficients, Proc. Roy. Soc. Edinburgh Sect. A 131, 989-1002. (MR 2003b:34066)
  52. with G. G. Hamedani: A characterization of symmetric random variables, Communications in Statistics 32 (2003), 723-728. (MR 2004b:62030)
  53. The coexistence problem for periodic solutions of the Ince equation, Analysis 23 (2003), 97-105. (MR 2004c:34074)
  54. with P. Binding: Right semidefinite generalized eigenvalue problems, Proc. Edinburgh Math. Soc. 46 (2003), 561-573.
  55. Error estimates for the Rayleigh-Ritz approximations of eigenvalues and eigenfunctions of the Mathieu and spheroidal wave equation, Constr. Approx. 20 (2004), 39-54
  56. Matrix Riccati equations and matrix Sturm-Liouville problems, J. Differential Equations 197 (2004), 26-44.
  57. On Riemann surfaces of analytic eigenvalue functions, Complex Variables 49 (2004), 169-182.
  58. Four remarks on the eigenvalues of Lamé's equation, Anal. Appl. (Singap.) 2 (2004), 161-175.
  59. with E. Key: Eigenvalue multiplicities of products of companion matrices, The Electronic Journal of Linear Algebra 11 (2004), 103-114.
  60. with G. G. Hamedani and E. Key: Solution to a functional equation and its application to stable and semi-stable-type distributions, Statist. Prob. Lett. 69 (2004), 1-9.
  61. Eigenvalue problems of Atkinson, Feller and Krein and their mutual relationship, Electron. J. Diff. Equations 48 (2005), 1-15.
  62. with G. G. Hamedani: Certain characterizations of the uniform distribution, Metrika 61 (2005), 117--125.
  63. with P. Binding: Prüfer angle asymptotics for Atkinson's semi-definite Sturm-Liouville problem, Math. Nachr. 278 (2005), 1458-1475.
  64. Eigenvalues associated with Borel sets, Real Anal. Exchange 31 (2005/06), 111-124.
  65. Instability intervals of the Ince and Hill equation, Analysis (Munich) 25 (2005), 189--204.
  66. with P. Binding: Interlacing and oscillation for Sturm-Liouville problems with separated and coupled boundary conditions, J. Comput. Appl. Math. 194 (2006), 75-93.

D. Contributions to conference proceedings

  1. Continuous extension of operators and the representation theorem of Riesz, Proceedings of the conference on vector measures and integral representation of operators, and on functional analysis, Banach space geometry, Essen 1982, Vorlesungen Fachbereich Mathematik Universtaet Essen 10, 149-159 (1983). (MR 85g:47046)
  2. Eigenvector expansion in multiparameter eigenvalue problems,
    Shiva Mathematics Series 8, 93-101 (1984).
  3. On the differential equation y''+exp(ym-t)=0, in Trends and Developments in Ordinary Differential Equations (eds. Y. Alavi and P.-H. Hsieh), 379-381, World Scientific, 1994.

For more detailed informations on several of these papers see the summary of research.

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