Photo of Dejenie Lakew

Dr. Dejenie Lakew

  • Assistant Professor and Interim Chair
  • Mathematics

Areas of Expertise

Functional Analysis. Dirac Operator, Hypercomplex Function Theory/Clifford Analysis. Operator Theory, Differential Equations. Fractional Calculus in Hypercomplex Function Spaces.

Education

  • Ph.D., Mathematics, University of Arkansas–Fayetteville
  • M.Sc., Mathematics, Addis Ababa University
  • B.Sc., Mathematics, Addis Ababa University

About Dr. Dejenie Lakew

Dr. Dejenie A. Lakew is an assistant professor and interim chair of the Department of Mathematics at Hampton University. His research focuses on functional analysis and hypercomplex function theory, in particular on abstract function spaces called Sobolev spaces, with particular emphasis on spaces with an inner product. These spaces have special properties called orthogonality, which makes them useful in applications in engineering and physics in particular.

Dr. Lakew is an active member of the global Mathematical Society in general and the American Mathematical Society in particular. He studied function spaces in various settings for a long time and has published several research results in international mathematical journals and on arXiv. He presented his results at the annual meetings of the American Mathematical Society and at departmental seminars at various universities. His current research focuses on fractional Sobolev spaces and boundary value problems, and established new results, which are published in the Pure and Applied Mathematics Journal and also appeared on arXiv. Besides, he is working on a new project: What is a Functional….? From the very definition to the deepest use of it, he eloquently presents the fascinating functionals. Dr. Lakew as an interim chair, manages departmental operations well.

Publications

Selected Publications

  1. Dejenie A. Lakew; Functionals in Generalized Function Spaces (Preprint).
  2. Dejenie A. Lakew; The Fractional Half-Dirac Operator and Orthogonality Over Sobolev Spaces; arXiv:7905913 [Math.FA] 3 Aug 2026.
  3. Dejenie A. Lakew and Nar Rawal; Orthogonal Parts of a Solution to a Higher-Order Cauchy BVP over Sobolev Spaces; Parana J. Sci. Edu., Vol. 9, No. 7 (1–11), Dec. 1, 2023.
  4. Dejenie A. Lakew; On Transcendental Discrete Initial Value Problems; Parana J. Sci. Ed., Vol. 8, No. 6 (9–12), Aug. 8, 2022.
  5. Dejenie A. Lakew; On Some Discrete Differential Equations; Parana J. Sci. Ed., Vol. 7, No. 9 (1–6), Nov. 12, 2021.
  6. Dejenie A. Lakew; On Orthogonal Decomposition of a Sobolev Space; Adv. Oper. Theory, Vol. 2, No. 4 (2017) 419–427, arXiv:1611.04249v1, Nov. 14, 2016.
  7. Dejenie A. Lakew; New Proofs of Properties of Orthogonal Decomposition of a Hilbert Space; arXiv:1510.07944v1, Oct. 27, 2015.
  8. Dejenie A. Lakew; On Orthogonal Decomposition of a Hilbert Space ℒ ²(Ω); Int. J. of Math. Comp. Sci., Vol. 10, No. 1 (2015) 27–37; arXiv:1503.01209v1, 2015.
  9. Dejenie A. Lakew and Mulugeta Alemayehu; Clifford Analysis on Orlicz-Sobolev Spaces; arXiv:1409.8380v1, 2014.
  10. Dejenie A. Lakew; Norm Estimates for Solutions of Elliptic BVPs of the Dirac Operator; arXiv:1401.3904v1, 2014.
  11. Dejenie A. Lakew; The Fibonacci Sequence via the Σ-Transform; arXiv:1401.1401.0243v1, 2014.
  12. Dejenie A. Lakew and John Ryan; The Intrinsic π-Operator on Domain Manifolds in ℂ ⁽ⁿ⁺¹⁾; Complex Anal. Oper. Theory, Vol. 4, No. 2 (2010) 271–280.
  13. Dejenie A. Lakew; The Spherical π-Operator; arXiv:0811:3257v1; 20 Nov 2008.
  14. Dejenie A. Lakew; \(W_{\mathrm{Cl}(n)}^{2,k}\) – Best Approximation of a \(\gamma\)-Regular Function; Journal Appl. Anal., Vol. 13, No. 2 (2007) 259–273.
  15. Dejenie A. Lakew and John Ryan; Complete Function Systems and Decomposition Results Arising in Clifford Analysis; Comp. Meth. Function Theory, CMFT, No. 1 (2002) 215–228 (with John Ryan).
  16. Dejenie A. Lakew and John Ryan; Complete Function Systems and Decomposition Results Arising in Clifford Analysis; Progress in Analysis: Proceedings of the 3rd International ISSAC Congress, Vol. 1 (2001) 325–336.
  17. Dejenie A. Lakew and John Ryan; Clifford Analytic Complete Function Systems for Unbounded Domains; Math. Meth. Appl. Sci.; Vol. 25 (2002) 1527–1539 (with John Ryan).
  18. Giovanni Porru and Dejenie A. Lakew; Overdetermined Problems for Elliptic Equations; Proceedings of the 4th Int. Coll. on Differential Equations; VSP, Inter. Sci. Pub., The Netherlands, 1994: 11–20.

Book/Mathematical Imagery

Popular Topics