Logarithmic Potential Theory on Riemann Surfaces
We develop a logarithmic potential theory on Riemann surfaces which generalizes logarithmic potential theory on the complex plane. We show the existence of an equilibrium measure and examine its structure. This leads to a formula for the structure of the equilibrium measure which is new even in the...
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Format: | Others |
Language: | en |
Published: |
2015
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Online Access: | https://thesis.library.caltech.edu/8915/1/BSkinnerFinalThesis.pdf Skinner, Brian Paul (2015) Logarithmic Potential Theory on Riemann Surfaces. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9Q52MK8. https://resolver.caltech.edu/CaltechTHESIS:05292015-072640484 <https://resolver.caltech.edu/CaltechTHESIS:05292015-072640484> |
Internet
https://thesis.library.caltech.edu/8915/1/BSkinnerFinalThesis.pdfSkinner, Brian Paul (2015) Logarithmic Potential Theory on Riemann Surfaces. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9Q52MK8. https://resolver.caltech.edu/CaltechTHESIS:05292015-072640484 <https://resolver.caltech.edu/CaltechTHESIS:05292015-072640484>