Wayne M. Eby
Assistant Professor
ADDRESS
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Department of
Mathematics email: weby@cameron.edu |
Class Information Syllabus and Office Hours
Curriculum Vitae Click Here
Research Interests
Several complex variables, harmonic analysis.
My research to date has focused on the Pompeiu problem on the Heisenberg group.
Newer Interests:
Radon transform, CR manifolds, analytic extension
Applications: Hyperbolastic growth models and Biomedical applications
Mathematics applied to Biology and Medicine
Mathematics applied to Ecology and the environment
Selected Publications
- C. Berenstein, D.C. Chang, W. Eby, L. Zalcman, Moment versions of the Morera problem in C^n and H^n, Advances in Applied Mathematics. Vol. 31, (2003) pp. 273-300.
- D.C. Chang, W. Eby, Moment conditions for Pompeiu problem extended to general radial surfaces, Microlocal Analysis and Complex Fourier Analysis, eds. T. Kawai and K. Fujita, World Scientific Press, 2002, pp. 44-66.
- C. Berenstein, D.C. Chang, and W. Eby, The Moment Problem in Clifford Algebras and the Heisenberg Group, CLIFFORD ALGEBRAS: Applications to Mathematics, Physics, and Engineering, ed. Rafal Ablamowicz, Progress in Mathematical Physics, Birkhauser, Boston, 2003, pp. 3-21.
- C. Berenstein, D.C. Chang, and W. Eby, A Note on Hormander's Strongly Coprime Condition, Complex Variables, 49 (2004), pp. 473-485.
- C. Berenstein, D.C. Chang, and W. Eby, Lp Results for the Pompeiu Problem with Moments on the Heisenberg Group, Journal of Fourier Analysis and Applications, 10 (2004), pp. 545-571.
- W. Eby, Moment
results for the Heisenberg group interpreted using Weyl
calculus, Contemporary Mathematics, Vol. 400, Recent Progress on Some Problems in Several Complex Variables and Partial Differential Equations, 2006, pp. 95-105. - D.C. Chang and W. Eby, Tauberian theorem for m-spherical transforms on the Heisenberg group, Math. Nachr. 280 (2007), pp. 815-837.
- D.C. Chang and W. Eby, Pompeiu problem for complex ellipsoids on the Heisenberg group, Bull. Inst. Math. Academia Sinica (New Series), 2 (2007), pp. 731-768.
- D.C. Chang and W. Eby, The Pompeiu problem for sets of higher codimension in Euclidean space and the Heisenberg group, Taiwanese Jour. Math. (2008), pp. .
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