- Hardcover: 296 pages
- Publisher: American Mathematical Society; 1 edition (2003)
- Language: English
- ISBN-10: 082183357X
- ISBN-13: 978-0821833575
- Product Dimensions: 1.9 x 17.8 x 25.4 cm
- Shipping Weight: 739 g
The approach used has two main attractions. The first is that much of the classical theory of Riemann surfaces, including the Torelli theorem, can be generalized to this class. The second is that solutions of Kadomcev-Petviashvilli equations can be expressed in terms of theta functions associated with Riemann surfaces of infinite genus constructed in the book. Both of these are developed here. The authors also present in detail a number of important examples of Riemann surfaces of infinite genus (hyperelliptic surfaces of infinite genus, heat surfaces and Fermi surfaces).
The book is suitable for graduate students and research mathematicians interested in analysis and integrable systems.