Items related to Capacity Theory With Local Rationality: The Strong...

Capacity Theory With Local Rationality: The Strong Fekete-Szego Theorem on Curves (Mathematical Surveys and Monographs, 193) - Hardcover

Rumely, Robert

 
9781470409807: Capacity Theory With Local Rationality: The Strong Fekete-Szego Theorem on Curves (Mathematical Surveys and Monographs, 193)
Hardcover
ISBN 10: 1470409801 ISBN 13: 9781470409807
Publisher: Amer Mathematical Society, 2014

Synopsis

Rumely's introduction to this exposition on the Fekete-Szegö theorem includes a sketch of the basic proof and contextualizes its development with the Robinson theorem on totally real algebraic integers in an interval and Cantor's extension with splitting conditions. The first chapter lays out several variants of the theorem, and the second illustrates with examples on elliptic, Fermat, and modular curves. Systematic development of the theory begins with notation and conventions, summaries of capacities and Green's functions, and continues with reduction of the variants back to the original theorem with local rationality conditions. Initial approximating functions are treated for the Archimedean and non-Archimedean cases. The last suite of chapters cover the global patching construction, followed by local patching for varying conditions. Appendices present additional proofs on related topics including potential theory, oscillating pseudopolynomials, the universal function, and local action of the Jacobian. Annotation Š2014 Ringgold, Inc., Portland, OR (protoview.com)

"synopsis" may belong to another edition of this title.

About the Author

Robert Rumely, University of Georgia, Athens, GA, USA

"About this title" may belong to another edition of this title.

Publisher
Amer Mathematical Society
Publication date
2014
Language
English
ISBN 10 
1470409801
ISBN 13 
9781470409807
Binding
Hardcover
Number of pages
437