Ingrid Daubechies

Ingrid Daubechies
  • James B. Duke Distinguished Professor of Mathematics and Electrical and Computer Engineering
  • Professor in the Department of Mathematics
  • Professor in the Department of Electrical and Computer Engineering (Joint)

Research Areas and Keywords

Analysis

wavelets, inverse problems

Biological Modeling

shape space

Computational Mathematics

inverse problems

Geometry: Differential & Algebraic

shape space

Mathematical Physics

time-frequency analysis

Signals, Images & Data

wavelets, time-frequency analysis, art conservation

Education & Training
  • Ph.D., Vrije Universiteit Brussel (Belgium) 1980

Daubechies, I., et al. “Painless nonorthogonal expansions.” Journal of Mathematical Physics, vol. 27, no. 5, Jan. 1986, pp. 1271–83. Scopus, doi:10.1063/1.527388. Full Text

Daubechies, I., and J. R. Klauder. “Quantum-mechanical path integrals with Wiener measure for all polynomial Hamiltonians. II.” Journal of Mathematical Physics, vol. 26, no. 9, Jan. 1985, pp. 2239–56. Scopus, doi:10.1063/1.526803. Full Text

Daubechies, I. “One electron molecules with relativistic kinetic energy: Properties of the discrete spectrum.” Communications in Mathematical Physics, vol. 94, no. 4, Dec. 1984, pp. 523–35. Scopus, doi:10.1007/BF01403885. Full Text

Daubechies, I., and E. H. Lieb. “Relativistic Molecules with Coulomb Interaction.” North Holland Mathematics Studies, vol. 92, no. C, Jan. 1984, pp. 143–48. Scopus, doi:10.1016/S0304-0208(08)73689-2. Full Text

Klauder, J. R., and I. Daubechies. “Quantum Mechanical Path Integrals with Wiener Measures for all Polynomial Hamiltonians.” Physical Review Letters, vol. 52, no. 14, Jan. 1984, pp. 1161–64. Scopus, doi:10.1103/PhysRevLett.52.1161. Full Text

Daubechies, I., and E. H. Lieb. “One-electron relativistic molecules with Coulomb interaction.” Communications in Mathematical Physics, vol. 90, no. 4, Dec. 1983, pp. 497–510. Scopus, doi:10.1007/BF01216181. Full Text

Daubechies, I. “An uncertainty principle for fermions with generalized kinetic energy.” Communications in Mathematical Physics, vol. 90, no. 4, Dec. 1983, pp. 511–20. Scopus, doi:10.1007/BF01216182. Full Text

Daubechies, I., and J. R. Klauder. “Measures for more quadratic path integrals.” Letters in Mathematical Physics, vol. 7, no. 3, May 1983, pp. 229–34. Scopus, doi:10.1007/BF00400438. Full Text

Daubechies, I., et al. “An integral transform related to quantization. II. Some mathematical properties.” Journal of Mathematical Physics, vol. 24, no. 2, Jan. 1982, pp. 239–54. Scopus, doi:10.1063/1.525699. Full Text

Daubechies, I. “Continuity statements and counterintuitive examples in connection with Weyl quantization.” Journal of Mathematical Physics, vol. 24, no. 6, Jan. 1982, pp. 1453–61. Scopus, doi:10.1063/1.525882. Full Text

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