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POTENTIAL THEORY AND HARMONIC FUNCTIONS

Alhwaitiy, Hebah Sulaiman
http://rave.ohiolink.edu/etdc/view?acc_num=kent1448671803

Abstract Details

2015, MS, Kent State University, College of Arts and Sciences / Department of Mathematical Sciences.
The purpose of this thesis is to see how measure theoretic ideas aid the study of harmonic functions in very general domains. We shall describe a general solution of the Dirichlet problem, and see how this gives rise to Harmonic Measure.
Benjamin Jaye, Dr (Advisor)
Artem Zvavitch, Dr (Committee Member)
Dmitry Ryabogin, Dr (Committee Member)
50 p.
Mathematics
Harmonic functions; Polar sets; Hausdorff measure; Harmonic Measure; Green function

Recommended Citations

Citations

  • Alhwaitiy, H. S. (2015). POTENTIAL THEORY AND HARMONIC FUNCTIONS [Master's thesis, Kent State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=kent1448671803

    APA Style (7th edition)

  • Alhwaitiy, Hebah. POTENTIAL THEORY AND HARMONIC FUNCTIONS. 2015. Kent State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=kent1448671803.

    MLA Style (8th edition)

  • Alhwaitiy, Hebah. "POTENTIAL THEORY AND HARMONIC FUNCTIONS." Master's thesis, Kent State University, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=kent1448671803

    Chicago Manual of Style (17th edition)

kent1448671803
1,055
© 2015, some rights reserved.Creative Commons License POTENTIAL THEORY AND HARMONIC FUNCTIONS by Hebah Sulaiman Alhwaitiy is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License. Based on a work at etd.ohiolink.edu.
This open access ETD is published by Kent State University and OhioLINK.